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Appendix © Springer International Publishing Switzerland 2016 A.A. Fraenkel, Recollections of a Jewish Mathematician in Germany, DOI 10.1007/978-3-319-30847-0 203
Transcript

Appendix

© Springer International Publishing Switzerland 2016

A.A. Fraenkel, Recollections of a Jewish Mathematician in Germany,DOI 10.1007/978-3-319-30847-0

203

Naf

tali

Hirs

ch

1743

-185

3

Avie

zri

Zelig

Au

erba

ch

1726

- 17

67

Gitt

el

Sinz

heim

Au

erba

ch

Zach

aria

Fr

aenk

el

c

1701

- 17

81

From

et K

ann

Frae

nkel

d. 1

789

Aron

H

irsch

17

83-1

842

Abra

ham

Au

erba

ch

1763

-184

5

Este

r Re

becc

a O

ppen

heim

Au

erba

ch

17

85-1

864

Isaa

k Ei

senm

ann

Bode

nhei

m-

Frae

nkel

Rosl

Neu

burg

Fr

aenk

el

c175

5-18

38

Seck

el

Frae

nkel

1748

- 18

20

Hirs

ch

Neu

baue

r

Leah

Co

hn

Hirs

ch

c182

0-18

79

Jose

f H

irsch

18

09-1

871

Benj

amin

H

irsch

Au

erba

ch

1808

-18

72

Lea

Frae

nkel

Au

erba

ch

1814

-188

4

Abra

ham

Fr

aenk

el

17

92-

1858

Perl

Nan

ette

N

euba

uer

Frae

nkel

18

08-1

881

Joel

N

eubu

rger

Aron

H

irsch

18

58-

1942

Benj

amin

H

irsch

18

40-1

911

Julie

Au

erba

ch

Hirs

ch

1844

-19

16

Rosa

H

irsch

Au

erba

ch

1843

-193

2

Selig

Avi

ezri

Auer

bach

18

40-1

901

Toni

Ta

ubsc

hen

Auer

bach

G

ugge

nhei

m

1840

-192

0

Han

nche

n Au

erba

ch

Loeb

18

42-1

905

Gut

ta

Auer

bach

18

37-

1840

Rahe

l Au

erba

ch

Frae

nkel

18

39-

1915

Wol

f W

ilhel

m

Zach

aria

Fr

aenk

el

1830

-19

07

Yitz

chak

Se

ckel

Si

gmun

d Fr

aenk

el

1827

-

Kopp

el Ja

cob

Frae

nkel

18

33-1

915

Rosa

Fra

enke

l N

eubu

rger

18

43-1

927

Isid

or

Neu

burg

er

1837

-190

5

Mar

cus

Breu

erSa

mso

n Ra

phae

l H

irsch

18

08-1

888

Liep

man

Ph

ilip

Prin

s 18

35-1

915

se

e Pr

ins

fam

ily tr

ee

Hen

riett

a Ja

cobs

on P

rins

1836

-188

6

Emil

Hirs

ch

1870

-19

38

Jose

ph

Hirs

ch

1876

-194

7

Aron

Ko

ber

1864

-19

21

Bert

ha

Auer

bach

Ko

ber

1874

-196

3

Mos

es

Auer

bach

18

81-

1976

Han

na

Auer

bach

Co

hn

1879

-19

46

Nap

htal

i Co

hn

18

73-1

939

Hei

nric

h Ch

anoc

h

Ehre

ntre

u 18

54-1

927

Adol

f Ab

raha

m

Frae

nkel

18

59-1

868

Hei

nric

h Fr

aenk

el

1862

-19

40

Toni

Fr

aenk

el

Auer

bach

18

65-

1922

Emil

Frae

nkel

18

67-

1942

Emm

a Fr

aenk

el

Mai

nz

1868

-19

28

Bert

a F

raen

kel

Feuc

htw

ange

r 18

75-1

961

Augu

st Is

rael

Fe

ucht

wan

ger

1870

-193

8

Sigm

und

Avie

zri

Frae

nkel

18

60-

1925

Char

lott

e N

eubu

rger

Fr

aenk

el

1868

-196

5

Albe

rt

Neu

burg

er

1878

-195

8

Ther

ese

Neu

burg

er

Loew

y

1884

-194

0

Alfr

ed

Loew

y

1873

-19

35

Shlo

mo

Zalm

an

Salo

mon

Br

euer

18

50-

1926

Soph

ie

Tzip

pora

h H

irsch

Br

euer

18

52-1

921

Jaco

b Ei

senm

ann

1860

-191

3

Dien

tje D

inah

Pr

ins

Eise

nman

n 18

63-1

944

Berg

en B

else

n

Lea

Kobe

r Ca

hn

1899

-198

1

Leo

Yehu

da

Cahn

18

89-

1958

Bert

ha

Ehre

ntre

u Fr

aenk

el

1895

-196

5

Alfr

ed

Abra

ham

Fr

aenk

el

1894

-19

51

Wilm

a M

alka

Pr

ins

Frae

nkel

1892

-19

83

Abra

ham

Ad

olf

HaL

evi

Frae

nkel

18

91-

1965

Euge

n

Joel

Fr

aenk

el

1892

-19

73

Irene

G

ugge

nhei

m

Frae

nkel

1905

-192

5

Es

tella

Est

her

Pine

as

Frae

nkel

1896

-197

1

Paul

a Pe

rl Ti

rza

Frae

nkel

Le

ving

er

19

01-1

993

Loui

s El

iese

r Le

ving

er

1897

-19

79

Dor

a D

vora

Fr

aenk

el

Elin

er

1904

-198

2

Elie

zer

Elin

er

(Urd

ang)

19

04-1

981

Else

Lea

Fr

aenk

el

Breu

er

1896

-192

7

Sam

son

Breu

er

18

91-

1974

Isaa

c Br

euer

18

83-

1946

Jenn

y

Es

ther

Ei

senm

ann

Breu

er

18

92-1

985

Han

nah

Eise

nman

n Fe

ist

18

95-1

960

Phili

p Fe

ist

18

90-1

943

Ausc

hwitz

Judi

th

Cahn

Fr

aenk

el

1929

-

Benj

amin

Ze

ev

Frae

nkel

1923

-201

3

Rahe

l Fr

aenk

el

Bloc

h

1921

-201

5

Hen

ry

Sim

on

Bloc

h 19

15-

1988

Tirz

a Fr

aenk

el

Cohe

n

19

25-

2013

Jaco

b Ze

'ev

Cohe

n 19

24-

1972

Avie

zri

Frae

nkel

19

28-

Sara

h Ja

cque

line

Mas

se F

raen

kel

19

37-2

009

Not

e: T

he fa

mily

tree

is n

ot c

ompl

ete

and

was

des

igne

d m

erel

y to

illu

stra

te s

ome

of th

e fa

mily

con

nect

ions

am

ong

the

pers

ons

men

tione

d in

the

book

.c=

circ

ad=

died

1 2

Fra

enke

l Fam

ily T

ree

Sass

on b

en

Sale

h be

n D

avid

ben

Ja

cob

1750

-18

30

Amam

G

abba

i Sa

sson

d

182

1

Asch

er L

amle

(L

emue

l) Le

hman

n

17

69-1

858

Rösc

hen

Suss

man

n Le

hman

n 17

87-1

858

Sam

uel

Bond

i 17

94-

1877

Soph

ie

Epst

ein

Bond

i

d 18

71

Yaac

ov

Mei

r Lev

in

Jaco

bson

18

07-1

879

Sara

Ab

raha

m

Jaco

bson

18

09-1

864

Raph

ael

Phili

p Li

epm

an

Prin

s

1802

-186

9

Mie

tje

Meh

rla

Scha

ap

Prin

s

1800

-18

86

Dav

id

Sass

oon

17

92-1

864

Farh

a Fl

ora

Hay

im

Sass

oon

1812

-188

7

Mar

cus

Mei

r Le

hman

n 18

31-1

890

Roes

chen

Th

eres

e

Bond

i Le

hman

n 18

28-

1901

Hen

riett

a Ja

cobs

on

Prin

s

18

36-1

886

Elie

zer

Liep

man

Ph

ilip

Prin

s

1835

-191

5Sa

ra L

ob

1858

-c 1

903

Jenn

y Ep

stei

n

d.

c 1

936

Sule

iman

So

lom

on

Sass

oon

18

41-1

894

Flor

a Fa

rha

G

ubba

y [A

brah

am]

Sa

ssoo

n

1856

-193

6

Emm

a Le

hman

n Pr

ins

18

60-1

944

Berg

en-

Bels

en

Mau

rits

Mos

he

Mei

r Pr

ins

18

58-

1932

Benj

amin

Pr

ins

18

60-

1934

Die

ntje

D

inah

Prin

s Ei

senm

ann

1863

-194

4 Be

rgen

Be

lsen

Abra

ham

Pr

ins

1864

-193

6

Elis

ha

Elie

zer

Prin

s

1866

-195

1

Eust

ace

Prin

s

1875

-193

6

Mar

tha

Prin

s 18

89-

1937

Soph

ie P

rins

Salo

mon

18

92- 1

971

Este

lla P

rins

18

93-1

969

Rafa

el

Yehu

da

Ludv

ig

Prin

s

1897

-197

6

Bert

hold

Is

rael

18

68-

1935

Amy

Jose

fa

Solo

mon

Is

rael

18

72-

1954

Dav

id E

zra

1871

-194

7Ra

chel

Sa

ssoo

n Ez

ra

18

77-1

952

Moz

elle

Sa

ssoo

n 18

84-

1921

Dav

id S

alom

on

Sass

oon

18

80-1

942

Selin

a Pr

ins

Sass

oon

18

83-1

967

Osc

ar

Prin

s

1884

- 19

14

Hug

o Pr

ins

1886

-19

65

Lott

e (C

harlo

tte)

Ab

raha

m

Prin

s

1897

-197

5

Alfr

ed

Prin

s

18

88-1

957

Met

a Pr

ins

Pose

n

1890

-194

5 Be

rgen

-Be

lsen

Eli P

osen

18

86-1

945

Berg

en-

Bels

en

War

ner

Jaco

b Pr

ins

1901

-19

87

Ger

trud

e Bu

tten

wie

ser

Prin

s

1906

-198

7

Wilm

a M

alka

W

ilhel

min

a Ad

elai

da

Prin

s Fr

aenk

el

18

92-1

983

Abra

ham

Ad

olf

HaL

evi

Frae

nkel

1891

-196

5

Geo

rge

Prin

s

1889

-19

73

Viva

Is

rael

Pr

ins

18

96-

1920

Wilf

rid

Isra

el

1899

- 19

43

Her

bert

Is

rael

19

04-

1964

Flor

a Sa

ssoo

n Fe

ucht

wan

ger

1914

-200

0

Salo

mon

Sa

ssoo

n 19

15-1

985

Anne

ke

(Ilse

Lot

te

Ruth

) Pr

ins

Sim

ons

19

30-

Elle

n Pr

ins

Stra

us

1927

-20

02

Gee

rt C

aleb

Pr

ins

19

25-1

984

Kris

tofe

r Sc

hipp

er

1934

-

Phili

p Ra

fael

Po

sen

19

19-2

004

Bob

Jaco

b Po

sen

19

15-1

944

Berg

en-

Bels

en

Caro

l An

n Pr

ins

Patt

19

40-

Rahe

l Fr

aenk

el

Bloc

h

1921

-201

5

Benj

amin

Ze

ev

Frae

nkel

19

23-2

013

Tirz

a Fr

aenk

el

Cohe

n

19

25-2

013

Avie

zri

Frae

nkel

19

28-

Vivi

an

Prin

s 19

20-

1992

Not

e: T

he fa

mily

tree

is n

ot c

ompl

ete

and

was

des

igne

d m

erel

y to

illu

stra

te s

ome

of th

e fa

mily

con

nect

ions

am

ong

the

pers

ons

men

tione

d in

the

book

.c=

circ

ad=

died

(2)

(3)

(1)

Pri

ns F

amily

Tre

e

Glossary

Glossary of Jewish, Hebrew, Yiddish Terms1

Acharonim (¼the last ones) The leading Jewish exegetes and poskim (Jewish

legal decisors) of the later (Jewish) Middle Ages, from the sixteenth century

(specifically since the writing of the Shulkhan Arukh) to the present.

Adar Rishon The leap month, which is an extra (13th) month added to the Jewish

calendar in certain years in order to make the Jewish year (a lunar calendar)

maintain the seasons as in a solar calendar.

Adass Yisroel (¼congregation of Israel) Refers to the Adass Yisroel Israelite

Religious Congregation, the Orthodox secession congregation in Berlin,

founded in June 1869. Its first rabbi was Dr. Azriel Hildesheimer. As a result

of Edward Lasker’s Secession Law of 1876, Adass Yisroel was converted from a

“religious congregation” to a “synagogue congregation.”

Aggadah (¼tale or lore) The portion of the Talmud andMidrash that is not part ofthe Halacha and is thus not binding according to religious law. Aggadoth(plural): stories or sagas of the Talmudic and post-Talmudic period. Aggadic isthe adjectival form.

Agudath Israel (often referred to as Agudah) World Agudath Israel, founded in

May 1912 in Katowice as an organization of Orthodox Jews suspicious of

secular Zionists, which first became politically active in 1919.

Almemar (Arab. al-minbar ¼ pulpit, Hebr. bimah) Raised platform in a syna-

gogue (usually at the center) from which the Torah is read and some of the

prayers (according to Sephardic rites) are recited.

Amidah (“The Standing Prayer”) The central prayer of the Jewish liturgy.

Ashkenazim In a narrow sense German and Dutch Jews, but in its wider sense

commonly used today: Jews of Europe (except for southern Europe) and North

1Spelling generally follows the Sephardic pronunciation, except in cases such as Adass Yisroel, inwhich for historical reasons the Ashkenazi pronunciation was deemed more appropriate.

© Springer International Publishing Switzerland 2016

A.A. Fraenkel, Recollections of a Jewish Mathematician in Germany,DOI 10.1007/978-3-319-30847-0

207

America who are related by virtue of their rites and to some extent the use of the

Yiddish language (cf. Sephardim).Av The 11th month in the Jewish calendar, corresponding to July–August

(depending on its position in the leap year cycle). Tisha b’Av (lit: Ninth of

Av): a day of fasting and mourning in commemoration of the destruction of the

First and Second Temples in Jerusalem.

Bar Mitzvah (¼son of the commandment, subject to the commandments) A

boy after reaching the age of 13, when he assumes the duties and responsibilities

of an adult according to religious law. The ceremony and celebration of a boy

having reached this age is also referred to as a bar mitzvah.Baal koreh (leiner) The person who reads the Torah in synagogue as part of the

service.

Chaver (¼comrade, friend) Title that especially in Germany was conferred in

recognition of a person’s Talmudic study and knowledge or service to the

community. See: http://www.daat.ac.il/encyclopedia/value.asp?id1¼3145

Chazan Jewish prayer leader or cantor.

Chumash Pentateuch, or the Five Books of Moses.

Derashah (pl. derashot) (¼discourse, homily) Scholarly speech or sermon, usu-

ally preached by a rabbi or a bar mitzvah boy.

Derekh ha-Limmud Method of Talmud (etc.) study, as applied in the respective

country or school (usually used in masculine form, but feminine is more correct).

Emek Valley, wide plain.

Erev (¼evening, eve) Term referring to the day preceding a holiday or day of

fasting.

Gaon Exceptional scholar (Talmudist).

Gemara (from g’mor [Aramaic gamar] ¼ to learn, study) The more recent

portion of the Talmud (starting in the third century CE), which comprises analysis

of and commentary on the Mishnah; usually refers to the Babylonian Gemara.

Halacha The standard according to religious law; the subject matter of religious

law, particularly in the Talmud. Halachic is the adjectival form.

Haredim Orthodox Jews characterized by strict observance of Jewish law and

custom and often by rejection of secular culture.

Hasid (pl. hasidim) (¼pious) Follower of the doctrine and movement of tradi-

tional Orthodox Judaism founded by Rabbi Israel Baal Shem Tov (1699–1760),

which had spread among wide circles of Ashkenazi Jewry (especially in Poland

and Galicia) starting in the mid-eighteenth century.

Hoshana Rabbah The seventh and final day of Sukkot.Kaddish Aramaic prayer recited during religious services and by those in

mourning.

Kasher (verb) To render kosher; to boil, heat to glowing, etc. in order to make

kitchen and other appliances fit for ritual use.

Kashrut (noun) Observance of the ritual dietary laws; the state of being kosher.

Kibbutz (pl. kibbutzim) Collective settlement.

208 Glossary

Kol Nidre The prayer introducing the evening service of Yom Kippur according toAshkenazi tradition; often used to refer to the full evening service which starts

Yom Kippur.Kosher (adj) (kasher ¼ fit for use) Corresponding to the ritual dietary laws.

Leining (from Latin legere) Reading from the Torah (that is, the weekly para-

shah, or portion) in the synagogue, using traditional trop (Yiddish “cantillation”or “trope”).

Luach (¼tablet) The Jewish calendar.

Mahzor (¼cycle) Prayer book containing the prayers and piyyutim (see below) for

one or more holidays (cf. siddur).Matzoh Unleavened bread, as prescribed for Passover (Pesach).Megillat Esther The biblical Book of Esther, often in the form of a hand-written

scroll (Hebr. megillah).Midrash (pl. midrashim; adj. midrashic) An ancient manner of expounding the

Bible which includes interpretations and stories that add to and fill in gaps in the

original text.

Mincha Afternoon prayer service.

Minhag Liturgical ritual or religious custom.

Mishnah (pl. mishnayot) The older portion of the Talmud, written in the last two

centuries BCE and the first two centuries CE.

Mitzva (pl. mitzvot) A precept or commandment of which Judaism has 613.

Mizrachi Party (Organization) of Orthodox Zionists.

Musaf The “additional” prayer recited on the Sabbath, the new month (RoshChodesh), and on holidays.

Ner Tamid (¼eternal light) The permanently lit sanctuary lamp that hangs in all

synagogues in front of the Torah ark.

Neturei Karta (¼Guardians of the City) The ultra-Orthodox sect, mainly in

Jerusalem, New York, and London, which radically opposes Zionism and

refuses to recognize the existence or authority of the State of Israel.

Ohel Jakob (¼Jacob’s tent) Name of the Orthodox congregation in Munich

within the framework of the entire unified Jewish congregation.

Omer (counting of the Omer) Omer is a measure of volume, but also signifies the

sheaves of grain, for example, barley; the counting of the 49 days from the

second day of Passover (marking the ripening/harvesting and offering of the

barley) until Shavuot (Feast of Weeks).

Oriental Jews (Descendants of) Jews of North Africa and the Middle East.

Parashah (¼portion) Weekly portion of the Pentateuch that is read from the

Torah in the synagogue on Shabbat, so that the Pentateuch is completed on

Simchat Torah and started anew from the beginning the following Shabbat.

Pesach (¼passing over) Passover, the seven-day festival commemorating the

liberation and exodus of the Jews from Egyptian slavery, beginning on the

15th of Nissan, usually starting in the week preceding the Christian Easter

celebration, cf. Seder.

Glossary 209

Piyyut (pl. piyyutim, from the Greek poietes) Liturgical poems that extend the

regular prayers on holidays, written from approximately the eighth century until

the late Middle Ages.

Purim (¼lots) The joyous festival commemorating the survival of the Jews of

Persia (see Megillat Esther), celebrated one month before Passover.

Rashi (acronym for Rabbi Shlomo Yitzchaki, died 1105) The traditional exe-

gete of the Bible, especially the Pentateuch, and the classic commentator of the

Talmud.

Rebbe A Yiddish word derived from the word rabbi, which means “master,

teacher, or mentor.” It refers to teachers of Torah.

Rosh Hashanah (¼beginning of the year) The first and second day of the month

of Tishrei, in September or early October; a biblical holiday, later celebrated as

the Jewish New Year.

Seder (¼order) The first evening (in the Diaspora the first two evenings) of the

Passover celebration, characterized by a lengthy festival liturgy and feast, which

commemorates the exodus of the Jews from Egypt, which took place on that day,

cf. Pesach.Seder Mo’ed (¼festival order) The second of six sections of the Mishnah or

Talmud, which deals primarily with Shabbat and the holidays.

Selichot (¼forgiveness) Prayers and poems of repentance for the Day of Atone-

ment (Yom Kippur) and the preceding weeks, as well as for other days of fasting.Sephardim In a narrow sense descendants of the Jews expelled from Spain and

Portugal in the late fifteenth century, but in its wider sense Oriental (and

southern European) Jews, except for Yemenite Jews (cf. Ashkenazim, Oriental).Shabbat (Sabbath) Saturday. The seventh day of the week, celebrated as a day

of rest.

Shabbat HaChodesh The Sabbath between 14 and 19 days before Passover,

characterized by an additional Torah reading (Exodus 12:1–20) that deals with

the festival.

Shacharit Morning prayer service.

Shemini Atzeret The eighth day of the Sukkot festival, and also an individual

holiday in its own right.

Shivah The traditional seven-day period of mourning following the funeral of a

close relative.

Shochet A professional ritual (kosher) slaughterer of animals.

Shul (Yiddish; from German: Schule, school) Synagogue; Bachurim Shul: Syn-agogue of the students.

Siddur (¼ order) Prayer book for every day and Saturdays (cf. mahzor).Simchat Torah (¼rejoicing in the Torah) The holiday following Shemini

Atzeret. In Israel, Shemini Atzeret and Simchat Torah are celebrated together.

Sukkot The Feast of Booths (Tabernacles), starting on the 15th of Tishrei. Sukkah(sing.) ¼ booth.

Talmud The major compendium of Oral Law (as opposed to the written law

contained in the Bible), written partly in the Land of Israel and partly in Babylon

from the second century BCE to the fifth century CE (cf. Mishnah and Gemara).

210 Glossary

Tefillin Phylacteries; leather boxes containing scriptural verses tied onto the left

arm and forehead by Jewish men during weekday morning prayers.

“Three weeks” The three weeks from the day of fasting on the 17th of Tammuz,

marking the day the Babylonian army stormed Jerusalem’s city walls, until the

particularly solemn day of fasting on Tisha b’Av (destruction of the First and

Second Temples by the Babylonians and the Romans); traditional weeks of

mourning.

Tiferet Yisrael Commentary on the Mishnah written by Israel ben Gedalia

Lipschitz (1782–1860).

Torah (¼instruction) In a narrow sense, the Pentateuch (Five Books of Moses); in

a broader sense, Jewish religious teachings in general.

Tosafot (¼additions, i.e. to Rashi; sing. tosafa) Commentaries to the Talmud

written by scholars in France and Germany in the twelfth and thirteenth

centuries.

Trop Yiddish word for the musical cantillation marks for the ritual chanting of the

Torah in the synagogue, often called “trope” in English; cf. leining.Yekke Derogatory or humorous term for Jews from Germany.

Yeshiva (¼sitting) High (or middle) school for Talmudic study; the term is also

used for the institutions in which adults study Jewish texts as their main

vocation.

Yishuv The body of Jewish residents in Palestine/Land of Israel prior to the

establishment of the State of Israel.

Yom Kippur The Jewish Day of Atonement, on the 10th of Tishrei.

Yom Tov (¼“good day”) Holiday or festival.

Glossary of German Educational Terms: School Level

Abitur The university entrance qualification examination after completion of

secondary school.

H€ohere T€ochterschule Girls’ secondary school.

Gymnasium Academic (university-track) secondary school, usually with a specific

focus, either in the humanities or natural sciences.

Mittelschule Secondary schools in Bavaria.

Oberrealschule Natural science-oriented secondary school.

Realgymnasium Secondary school that focused on mathematics and modern lan-

guages rather than Greek and Latin.

Simultaneous school Public school in Germany that was not associated with a

specific religious denomination, attended by both Catholic and Protestant

students.

Volksschule Regular primary school.

Vorschule Preparatory school affiliated with the secondary school.

Glossary 211

Glossary of German Educational Terms: University Level

(descriptions are only approximate equivalents to English-languageuniversity teaching positions)

Extraordinarius Non-tenured associate professor.

Habilitation Postdoctoral professorial qualification, granting the person the venialegendi (permission to lecture/teach) as a full professor at a university.

Ordinarius Full professor or department chair.

Privatdozent Unsalaried, adjunct professor; has completed the postdoctoral pro-

fessorial qualification and must teach each year to retain the status; does not (yet)

have a paid position as a full professor.

Professor ad personam Professor with a personal chair established specifically for

that person.

212 Glossary

Bibliography2,3

Fraenkel AA (1908) Bestimmung des Datums des j€udischen Osterfestes f€ur die Zeitrechnung der

Mohammedaner. Zeitschrift f€ur Mathematik und Naturwissenschaft Unterricht 39(6):598–606

Fraenkel A (1909) Eine Formel zur Verwandlung j€udischer Daten in mohammedanische.

Monatsschrift f€ur Geschichte und Wissenschaft des Judentums 53:70–79, Also printed in

Jeder Bundesbruder bezieht seine B€ucher vom hebraischen Verlag Menorah. Berlin, no. 6,

pp. 736–743. Also printed in Munich 1910 by Dreck von Adolf Alkalay & Sohn, Pressburg, pp.

1–10. http://sammlungen.ub.uni-frankfurt.de/cm/periodical/pageview/2889720 (German)

Fraenkel AA (1910) Die Berechnung des Osterfestes. Journal f€ur die reine und angewandte

Mathematik 138:133–146 (German)

Fraenkel AA (1911) L€osung einer Aufgabe von P. Wolfskehl. Archiv der Math u Phys 17(3):92–

94

Fraenkel AA (1911) Le calcul de la date de Paques. Bologna, N. Zanichelli. 7p. Estratto da

‘Scientia’ rivista di scienza, vol IX, anno V

Fraenkel AA (1912) Axiomatische Begrundung von Hensels p-adischen Zahlen. Journal f€ur diereine und angewandte Mathematik 141:43–76

Fraenkel AA (1914) Uber die Teiler der Null und die Zerlegung von Ringen: Inaugural-Disserta-

tion zur Erlangung der Doktorwurde der hohen philosophischen Fakultat der Universitat

Marburg. Marburg (Georg Reimer, Berlin) 42, [41] p. J f Math 145(1915):139–176

Fraenkel AA (1915) Uber die Osterrechnung. Quelle & Meyer, Leipzig, pp 264–272

Fraenkel AA (1916) J€udische Eindr€ucke im Felde (Jewish impressions from the field). Frankfurter

Israelitisches Familienblatt (FIFB) 14(12):1–2. http://sammlungen.ub.uni-frankfurt.de/cm/peri

odical/pageview/2704603

Fraenkel AA (1914–1919) Gedanken €uber k€unftige Entwicklung und Aufgaben der Agudas Jisroel(Thoughts on future developments and tasks of the Agudas Yisroel) in an unknown source in

the Agudist and/or Zionist press in Germany

Fraenkel AA (1916) Thoratreues Judentum und zionistische Organisation (Torah-faithful Judaism

and Zionist organization). Der Israelit 44:1f

2This bibliography was not included in the original autobiography. Rather, it was compiled from

multiple sources. Although references were checked whenever possible, the bibliography should

not be considered comprehensive, as it was impossible to locate all articles written by Fraenkel.3Writings for which a copy exists in Fraenkel’s archive at the National Library of Israel ARC 4#

1621 AC2060 are marked with a hash sign (#). Those which are in Fraenkel’s archive at the

National Library of Israel ARC 4# 1621 AC-2054 are marked with two hash signs (##).

© Springer International Publishing Switzerland 2016

A.A. Fraenkel, Recollections of a Jewish Mathematician in Germany,DOI 10.1007/978-3-319-30847-0

213

Fraenkel AA (1916) Uber gewisse Teilbereiche und Erweiterungen von Ringen. B.G. Teubner

Verlag, Leipzig, 64pp. Also in Monatshefte f€ur Mathematik, 28, no. 1, Dec 1917, p.A29(1)Fraenkel AA (1918) Praktisches zur Universitatsgr€undung in Jerusalem. Der Jude 3:404–414.

http://sammlungen.ub.uni-frankfurt.de/cm/periodical/titleinfo/3103705

Fraenkel AA (1918) Kursberechnung f€ur Flugzeuge. Grosses Hauptquartier, 15ppFraenkel AA (1918) Mathematik und Apologie. Jeschurun 5:112–126

Fraenkel AA (1919) Einleitung in die Mengenlehre: eine gemeinverstandliche Einf€uhrung in das

Reich der unendlichen Gr€ossen. Springer, Berlin. Book. 156ppFraenkel A (1919) Von Nah und Fern [From near and far] (German). Die J€udische Presse, Berlin,

11 July 1919

Fraenkel AA (1919) Die sexuelle Frage im k€unftigen Palastina (The question of sex in the future

Palestine). J€udische Rundschau 24(19):142–143. Also published in J€udische Presse. http://sammlungen.ub.uni-frankfurt.de/cm/periodical/pageview/2669686

Fraenkel AA (1920) Zahlbegriff und Algebra bei Gauss. 1. Teil. Mit einem Anhang von A.

Ostrowski. Materialien fur eine wiss. Biographie von Gauss, No. VIII. Also in Nachrichten

von K€oniglichen Gesellschaft der Wissenschaften zu G€ottingen, Math-Phys. Kl. G€ottingen,59pp (Appeared also in B.G. Teubner, Leipzig)

Fraenkel A (1920) Das Erziehungswesen in לארשיץרא u. der Misrachi [The educational system in

the land of Israel and the Mizrachi movement]. Die J€udische Presse, Nr 9, Berlin, 27 Feb 1920(German) #

Fraenkel A (1920) Von Amsterdam nach London [From Amsterdam to London]. Die J€udischePresse, Nr 46, Berlin, 12 Nov 1920 (German) #

Fraenkel AA (1921) Uber einfache Erweiterungen zerlegbarer Ringe. Journal f€ur die reine und

angewandte Mathematik 151:121–167

Fraenkel AA (1921) Uber die Zermelosche Begr€undung der Mengenlehre. Jahresbericht der

Deutschen Mathematikervereinigung 30:97–98

Fraenkel A (1921) Zur Politik des Misrachi. Die J€udische Presse, Berlin, 29 July 1921 (German) #

Fraenkel A (1922) Axiomatische Begr€undung der transfiniten Kardinalzahlen I. Mathematische

Zeitschrift 13:153–188

Fraenkel AA (1922) Den Begriff “definit” und die Unabhangigkeit des Auswahlaxioms. Sitzungsb

d Preuβ Akad d Wiss, Physik-math. Klasse, pp 253–257. (Abstract in Jahresb. D. M. V. 31(1922), 101–102 ital.) see also http://biodiversitylibrary.org/page/29207376#page/276/mode/

1upFraenkel AA (1922) The notion of “definite” and the independence of the axiom of choice.

Translated by Beverly Woodward. Harvard University Press, Cambridge, MA, pp 284–289

Fraenkel AA (1922) Der Zusammenhang zwischen dem ersten und dem dritten Gausschen Beweis

des Fundamentalsatzes der Algebra. Jahresb D M V 31:234–238

Fraenkel A (1922) Zu den Grundlagen der Cantor-Zermeloschen Mengenlehre (On the founda-

tions of the Cantor-Zermelo set theory). Mathematische Annalen 86:230–237 (Abstract in

Jahresber. D.M.V. vol 30, p. 97–98 ital., 1921)

Fraenkel AA (1923) Einleitung in die Mengenlehre: eine elementare Enf€uhrung in das Reich des

Unendlichgrossen, 2nd ed. Springer, Berlin, Book. 251pp (Die Grundlehren der Math

Wissenschaften, vol IX)

Fraenkel AA (1924) Die neueren Ideen zur Grundlegung der Analysis und Mengenlehre.

Jahresbericht der Deutschen Mathematiker-Vereinigung 33:97–103 (Cf. Scientia, vol. 38,141–152, 209–218, 1925. Also in French)

Fraenkel AA (1924) The Jewish University in Jerusalem (From the viewpoint of orthodoxy).

Jewish Forum VII(1):27–31

Fraenkel AA (1924) The Jewish University in Jerusalem (From the viewpoint of orthodoxy).

Jewish Forum VII(5):299–302

Fraenkel A (1924) Die j€udische Universitat in Jerusalem. J€udische Wochenschrift, Nr 16/17,

Vienna, 18 Apr 1924 (German) #

214 Bibliography

Fraenkel AA (1924) .םלשוריבםירפסהתיבוהטיסרבינואהיבתכ:ךותב.םיצובקהתרותלשתומויסכאה. הרימאןימינבםגרת.ד"פרתה.'אךרכ.ןייטשניא.אךרוע The Axioms of set theory. In: Einstein A (ed)

The texts of the University and the Library in Jerusalem. Mathematics and Physics vol 1.

Scripta Universitatis Atique Bibliothecae Hierosolymitanarum : Mathematica et Physica vol 1.

Parallel Hebrew title: Kitve ha-Universitah u-Vet ha-Sefarim bi-Yerushalayim : Matimatikah

u-Fisikah. Fraenkel articles in both Hebrew and German. Hebrew is on pages: 1–5, German is

on pages 1–8. In both languages it is listed as article VI. German article is titled: Die Axiome

der Mengenlehre; Hebrew title is: ha-Aksiyomot shel torat ha-kabutsim

Fraenkel AA (1924?) Vom Misrachi in Wiesbaden. J€udisches Wochenblatt 2:15. (German) #

[Question mark after the year in references was copied from Fraenkel’s note on the article.]

Fraenkel AA (1924) Das neunte Gebot (The ninth commandment). J€udisches Wochenblatt 13:115

(German) #

Fraenkel AA (1925) Die hebraische Universitat, der ‘Israelit’ und הרותהדובכ , (The Hebrew

University, the “Israelit” and the honor of the Torah). J€udisches Wochenblatt 6:60–61. http://

archive.org/stream/jdischeswochenblreel01#page/n246/mode/1up/search/fraenkel

Fraenkel AA (1925) Uber die gegenwartige Grundlagenkrise der Mathematik. Koch, 10p

Fraenkel AA (1925) Untersuchungen €uber die Grundlagen der Mengenlehre. Mathematische

Zeitschrift 22:250–273

Fraenkel A (1925) Leben, Natur, Religion. Jeschurun 12:337–348 (German). Also as a separate

monograph, pp 1–12. #

Fraenkel A (1925) Bemerkung zum Begriff der geordneten Mengen. Fund Math 7:308–310

(Enlarged in Sitzungsber. der Berliner Math. Gesellschaft. 24, 29–37)Fraenkel A (1926) Axiomatische Theorie der geordneten Mengen. Journal f€ur die reine und

angewandte Mathematik 155:129–158

Fraenkel A, Vieler H (1926) Untersuchungen €uber Unabhangigkeit und Tragweite der Axiome der

Mengenlehre in der Axiomatik Zermelos und Fraenkels. (G€ottingen, Dieterich). 41p 8˚. Diss,

Marburg

Fraenkel A (1926?) Briefe an die Redaktion [Letter to the editor.] An unknown Jewish newspaper.

N63, p 22 (German) #

Fraenkel A (1926) Von j€udischen Reisen, Einige praktische Erfahrungen einer Palastinareise.

J€udisches Wochenblatt, Nr 17 May 1926, p 157 (German) #

Fraenkel AA (1927) Zehn Vorlesungen €uber die Grundlegung der Mengenlehre. Wissensch Und

Hypothese, vol 31. B.G. Teubner Verlag, Leipzig, Book 182pp

Fraenkel A (1927) Die Gleichheitsbeziehung in der Mengenlehre. Journal fur die reine und

angewandte Mathematik 157:79–81

Fraenkel A (1927) Rabbiner Dr. H. Eherentreu. J€udischer Wochenblatt 1:5 (German) #

Fraenkel A (1927) Letter to the editor from Marburg, 30th November. Section: Ferienrabatt f€uralle! In: Beilage zur Vossischen Zeitung (German) #

Fraenkel A (1927) Warum nicht mehr Schlafwagen 3. Klasse? [Why are there no more third class

sleeping cars (on the train). 31 Mar 1927 (German) #

Fraenkel A (1928) Zusatz zu vorstehendem Aufsatz Herrn v. Neumanns. Mathematische Annalen

99:392–393

Fraenkel AA (1928) Einleitung in die Mengenlehre, 3rd ed. Springer, Berlin, 424pp. Book

Fraenkel A (1928) Uber die Ordnungsfahigkeit beliebiger Mengen. Sitzungsber d Preuß Ak d

Wiss, Phys-math, Berlin, pp 90–91

Fraenkel A (1928) Gel€oste und ungel€oste Probleme im Umkreis des Auswahlprinzips. Bologna,

Zanichelli. (Estratto dagli Atti del Congresso intemazionale dei matematici, Bologna, vol

VI:255–259, 1930)

Fraenkel A (1929) Mathematics and philosophy. Opening Address 18th November 1929, HUA,

EIM files, Stencil, 4p [Hebrew]

Fraenkel A (1929) Misrachisten in der Agudah? [Mizrachi Members in the Agudah?]. Der Israelit

Blatter 12:3 (German) #

Bibliography 215

Fraenkel A (1929) Der Sinn des Delegiertentages des Misrachi. J€udisches Wochenblatt 7/8:472.

Berlin, 22 Feb 1929 (German) #

Fraenkel A (1929) Sprechsaal. Zweierlei Misrachismus [Two types of Mizrachi movement]. Der

Israelit. 8 Aug 1929 (German) #

Fraenkel AA (1930) Georg Cantor. Jahresbericht der Deutschen Mathematiker-Vereinigung

39:189–266. Also appeared separately asGeorg Cantor Leipzig: B. G. Teubner and is abridgedin Cantor’s Gesammelte Abhandlungen (Cf. Scientia, vol 48, 361–370, 1930; also appeared in

French)

Fraenkel AA (ed) (1930) Sigmund Fraenkel: Aufsatze und Reden; ein Spiegelbild deutsch-

j€udischer Geschichte aus dem Beginn des zwanzigsten Jahrhunderts. B. Heller, Munich,

343pp (German)

Fraenkel AA (1930) Die heutigen Gegensatze in der Grundlegung der Mathematik. In: Erkenntnis,

vol 1, pp 286–302 (Cf. Ztschr. F. math. Und naturwiss. Unterricht, vol. 61, p. 35, 1930; Blatter

f. Deutsche Philos., vol. 4, 279–297, 1930; Scr. Math., vol. 1, 222–227, 1934)

Fraenkel A (1930) Das Werden der hebraischen Universitat in Jerusalem [The formation and

development of the Hebrew University in Jerusalem]. Unterhaltungsblatt K€olnische Zeitung,

22 July 1930 (German) #

Fraenkel A (1930) תירבעההטיסרבינואב [At the Hebrew University]. ןוילגןושחרמא"כץראה issue 3428.

Ha’aretz 12 Nov 1930 (Hebrew) #

Fraenkel AH (1930–1931) (5691) " עבטהיעדמרואלתועדותונומא " [Beliefs and opinions in light of the

sciences]. Part 1 inHaHed דהה VI(8):16–19, part 2 in דהה HaHed VI(9). Reprinted together as amonograph by HaHed דהה in 1930 15 א"צרת pp. םילשורירפסהסופד HaSefer Printing Press

Jerusalem (Hebrew) #. Reprinted in 1987–1988. (Hebrew). Translated into English by Mark

Zelcer in Hakirah the Flatbush Journal of Jewish Law and Thought, 2011, vol 12:220–229

Fraenkel A (1931) Introduction to W.M. Feldman. Rabbinical mathematics and astronomy, 3rd

corrected edition. Hermon Press, New York, NY. Also 1965 and 1978

Fraenkel A (1931) Beschrankung f€ordert Durchf€uhrung. [Restriction promotes implementation].

Die Br€ucke. Des Berliner Tageblatts, Nr 51, 27 Dec 1931 (German) ##

Fraenkel A (1931) Austauschstudium an der hebraischen Universitat [Exchange studies at the

Hebrew University]. J€udische Rundschau, Nr 88, 13.XI.1931 (German) #

Fraenkel A (1931) Ein Vorschlag [A suggestion]. Israelitisches Familienblatt, vol 33. Hamburg, 10

Dec 1931 (German) #

Fraenkel AA (1932) Axiomatische Theorie der Wohlordnung. Journal f€ur die reine und

angewandte Mathematik 167:1–11. http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=

PPN243919689_0167&DMDID=DMDLOG_0006&LOGID=LOG_0006&PHYSID=PHYS_

0008

Fraenkel AA (1932) Das Leben Georg Cantors. In: Ernst Zermelo (Ed). Georg Cantors Gesammelte

Abhandlungen, Berlin, pp 452–483

Fraenkel A (1932) Bei den palastinensischen Studenten in Jerusalem [The Palestinian students in

Jerusalem]. Neues Wiener Journal. Vienna, 10 Mar 1932 #

Fraenkel A (1932) Die Orthodoxie und der Aufbau Palastinas. J€udische Presszentrale 712:13

(German) #

Barth A, Wolfsberg O, Fraenkel AH, Struck H, Shapira Y (1933) . תונרקהיניינעבתעדיולג [Opinion

regarding the funds]. רבד Davar, p 5. 11 Dec 1933

Fraenkel AA (1933) On modern problems in the foundations of mathematics. Scripta Math I:222–

227

Fraenkel A (1934) An den Gestaden des toten Meeres [On the shores of the Dead Sea]. J€udischeRundschau, Nr 96, 30.XI.1934 (German)

Fraenkel A (1934) Palastina Probleme. J€udische Presszentrale 803:9 (German) #

Fraenkel A (1935) Sur l’axiome du choix. Fondation L’Enseignement Mathematique. 34me annee,

pp 32–51 (Cf. Kongr. Zurich 1932, vol. II, 341 f., 1933; Revue Philos. De Louvain, vol. 50,

429–459. 1952. http://retro.seals.ch/digbib/view?pid=ensmat-001:1935:34::193)

216 Bibliography

Fraenkel AA (1935) Sur la notion d’existence dans les mathematiques : sur l’axiome du choix.

Gauthier-Villars, Paris

Fraenkel AA (1935) Zum Diagonalverfahren Cantors. Fund Math 25:45–50

Fraenkel AA (1935) Concerning the method of number pairs. Philos Sci 2(1):104–108

Fraenkel A (1935) Sur la Notion d’Existence dans les Mathematiques’. L’Enseignement

Mathematique 34:18–32

Fraenkel A (1935) " הנוכתהו'רובעהדוס'הדשבם"במרהלשותדובעלע " [on the Rambam’s work on the

topics of the secret of leap months and in astronomy]. In: “ תואמהנומשתואלמלןומיימןבהשמונברותדלוהלהנש ” [Our Rabbi Moshe ben Maimon. 800 years from his birth]. Ha’aretz (4788):111–

114. Tel Aviv (Hebrew)

Fraenkel A (1936) ל"זןושש)הרולפ(החרפ [Farcha (Flora) Sassoon]. ץראה Ha’aretz, 24 Jan 1936

(Hebrew) #

Fraenkel A (1936) . קורטשןמרה [Hermann Struck]. ץראה Ha’aretz, 6 Mar 1936 (Hebrew) #

Fraenkel AA (1937) Uber eine abgeschwachte Fassung des Auswahlaxioms. J Symb Logic 2(I):1–

25 (Abstract in C.R. de l’acad. Des Sc. Paris, vol. 192, (1931) p. 1072; Jahresb. D.M.V., vol 41,

p. 38, 1932?)

Fraenkel A (1937) Rudolf Otto Eulogy. Ha’aretz, 7 Mar 1937

Fraenkel A (1937) Science at the Hebrew University “An aid to national development”. The

Jewish Chronicle, 29 Oct 1937, p 29 (English) #

Fraenkel A (1937) Discontinu et continu (IXme Congres Intern. de Philosophie). Actualites

Scientif et lndustr 535:193–200 (Cf. Ztschr. F. Freie Deutsche Forschung, vol. 2, 1–14,

1939; Scr. Math., vol. 13, 17–36, 1947)

Fraenkel AH (1937) " חולהלעהמרופירל"םידוהיהתדמע The Jews’ position regarding the “Calendar

Reform”. ץראה Ha’aretz, 11 June 1937 (Hebrew) #

Fraenkel AH (1937) Letter to the editor of םעלוננושל Leshonenu Le’Am [Our language for the

people]. 8 Oct 1937 (Hebrew) #

Fraenkel AH (1937) Letter to the editor [concerning the Mizrachi and the Poel HaMizrachi

movements]. הביתנ Netiva. 19ח"צשתולסכבו"ט Nov 1937 (Hebrew) #

Fraenkel AA (1938) Alfred Loewy (1873–1935). Scripta Math V(1):17–22

Fraenkel AH (1938) ל"זואדנל)דנומדא(יולהלאקזחי [Eulogy] Yehezqel Ha-Levi (Edmund) Landau of

Blessed Memory. ץראה Ha’aretz, 4 Mar 1938 (Hebrew) #

Fraenkel AH (1938) . לארשיתרותותירבעההטיסרבינואבעבטהידומיל [The study of science at the Hebrew

University and Jewish religious teachings]. הפוצה Ha’Tzofe, 10 Apr 1938 (Hebrew) #

Fraenkel AA (1939) Address of the rector of the Hebrew University, A.H. Fraenkel: graduation

ceremony 22 Nissan 5699. Azriel Press, Jerusalem, 11p

Fraenkel AA, Bar-Hillel J (1939) Le Probleme des antinomies et ses developpements recents.

Revue de Metaphysique et de Morale 46:225–242

Fraenkel AA (1939) Natural numbers as cardinals. Scripta Math VI(2)

Fraenkel A (1939) Review: Adolf Lindenbaum, Andrzej Mostowski, Uber die Unabhangigkeit des

Auswahlaxioms und einiger seiner Folgerungen. J Symb Logic 4(1):30–31

Fraenkel AH (1939) ש"תןושחרמ-ירשת’אי-יםידומעדהה.?אוההרקמה . [Is it by chance?] HaHed

15(1–2):10–11 (Hebrew)

Fraenkel AH (1939) " לוכשאהרפס"ןינעב [Concerning “Sefer HaEshkol”] ץראה Ha’aretz, 31 Jan 1939(Hebrew) #

Fraenkel AH (1939) . לקנרפיולהםהרבא.רוספורפרוטקירהםואנ.תירבעההטיסרבינואבםויסהסקט[Graduation ceremony at the Hebrew University. The Rector’s address]. הפוצה . Ha’Tzofe, 13Apr 1939 (Hebrew) #

Fraenkel AH (1939) תירבעהתוברתהלשהתנקתל [Enhancing Hebrew culture]. ץראה Ha’aretz, 28 May

1939 (Hebrew) #

Fraenkel AH (1939) . ויתודלות.ותריטפלהנשהרשעשמחןאלפאקוהילאםהרבאברה [Rabbi Abraham

Eliyahu Kaplan, 15 years after his passing]. הפוצה Ha’Tzofe, 5ט"צרת,רייאבז"י May 1939

(Hebrew) #

Bibliography 217

Fraenkel AH (1939) עדמבתוכפהמ [Revolutions in science]. הפוצה Ha’Tzofe, 14 Apr 1939

(Hebrew) #

Fraenkel AA (1940) Review: Josef Schachter, H. Bergmann, Brief introduction to logistic. J Symb

Logic 5(1):43

Fraenkel AA (1940) Natural numbers as ordinals. Scripta Math VII(1–4):9–20

Fraenkel AH (1940) ל"זרגרבדרפלאלשותוישיא [The late Alfred Berger]. ש"תטבשח"ר.ץראה Ha’aretz,11 Jan 1940, p 3 (Hebrew) #

Fraenkel AH (1940) Science at Hebrew University. The Australian Jewish News. Melbourne, 31

May 1940 (English) #

Fraenkel AH (1940) . םויסהסכטבלקנרפ.ה.א'פורפ,הטיסרבינואהרוטקרםואנ [The address of the

University Rector, Prof. A.H. Fraenkel in the graduation ceremony]. Ha’Tzofe, 5 May 1940

(Hebrew)

Fraenkel AH (1940) " תכרעמלבתכמ ". Letter to the editor [concerning reciting of Selichot]. הפוצהHa’Tzofe, 7 Oct 1940, p 2 (Hebrew) #

Fraenkel AH (1941) " תכרעמלבתכמ ". [Letter to the editor concerning the date for Yom Kippur in the

far east]. הפוצה Ha’Tzofe, 12 Sept, p 8 (Hebrew)

Fraenkel AH (1941) קיודמהעדמבתורשפאיאלשתוחכוה [Proving impossibility in exact sciences].

. הלכשהלוישומישעדמלןוחרי.עדמוהקינכט Tech Sci. Appl Pure Sci Month 5(2):1–2 (Hebrew) #

Fraenkel AH (1942) תאצוה.םירמאמותואצרהץבוק.הירטמואגהוהקימתיראהןיינבב'תושירד'בשומישה. ב"שת.י"אבםירומהתורדתסה . [The use of ‘requirements’ in developing arithmetics and geometry.

Lectures and articles. The teachers’ association in the land of Israel publishing]. (Hebrew)

Fraenkel AA (1942) . היצקנופהורפסמה.השדחההקיטמתמהןמתוטישותויעב:הקיטמתמלאובמ [Introduction to

Mathematics: vol 1. Problems and methods of modern mathematics. Number and function].

Masada Publishing, Ramat Gan and then Hebrew University Press Association, Jerusalem.

381pp (Hebrew)

Fraenkel AH (1942) ןוששדוד [David Sassoon]. הפוצה Ha’Tzofe 6.ב"שתלולאבד"כ Sept 1942

(Hebrew) #

Fraenkel AH (1942) תוחילסהתרימאלע . [The recitation of Selichot]. הפוצה Ha’Tzofe ירשתב'ט.ב"שת[note a mistake in the Hebrew date]. 20 Sept 1942 (Hebrew) #

Fraenkel A (1943) היתויעבובושיבהדוליה . [The birthrate in the Jewish population and its problems].

D. B. Aaronson, Jerusalem, 46pp. Series for current challenges (Hebrew)

Fraenkel AH (1943) . דמלתמהרעונלהקיסיפלוהקיטמתמלםיפדךותמירבעהחולהלשיטמתמההנבמהלע.' התרבוחג"שתתבט [The mathematical structure of the Jewish calendar]. Dapim LeMatematica

UlePhysica. [Pages in Mathematics and Physics for Youth]. Ch 1 and Ch 2. 5th booklet

(Hebrew)

Fraenkel AH (1943) …לקנרפ.ה.א,…,סנגאמ.ל.יר"דידי-לעורמאנשםירבד:1642–1942ןוטוינקחצי:םילשורי.]1943[ג"שתרדא’גםויב,םילשוריבתירבעההטיסרבינואבהכרענשןוטוינתגיגחב…חקר.י

תירבעההטיסרבינואהדי-לעםירפסתאצוהלהרבח Isaac Newton: 1642–1942; at the IsaacNewton celebration held at the Hebrew University in Jerusalem on the tenth of March1943, University Press

Fraenkel AA (1943) Problems and methods in modern mathematics – 1. Scripta Math IX(1):81–84

Fraenkel AA (1943) Problems and methods in modern mathematics – 2. Scripta Math IX(2):162–

168

Fraenkel AA (1943) Problems and methods in modern mathematics – 3. Scripta Math IX(3):245–

255

Fraenkel AA (1943) Problems and methods in modern mathematics – 4. Scripta Math IX(4):5–18

Fraenkel AH (1943) . בושיבתימינפההילעה [Internal immigration in the yishuv] . םילשורי-דה.ועקןוילגHed-Yerusahlayim. Issue 176. 1 Jan 1943 (Hebrew) #. Also reprint of unknown origin. pp 1–12.

(Hebrew) ##

Fraenkel AH (1943) . ארקמהימעטבורהזה [Pay attention to the leining marks] טבשבב"יץראהג"שתHa’aretz, 18 Jan 1943. (A response to this article is inHa’aretz 31st January 1943 under the title‘ םיניינע ’ [issues]#)

218 Bibliography

Fraenkel AH (1944) Introduction in: Adult education: extension lectures and courses of the

Hebrew University, Jerusalem 1943–1944. Achva Coop. Printing Press, Jerusalem, 19pp

(Copy exists in Bivliotheek Universiteit van Amsterdam. Item 0150000448)

Fraenkel AH (1944) [Manners in the land]. B’nai Brit newsletter, 5. . בושיבםיסומנתועידי"ךותמדחוימסיפדת.ד"שתןויס"םילשורי"תכשלתפסאבלקנרפה"א'פורפחאהי"עורמאנשםירבדךותמ

. ד"שתבאםילשורי,ד"י'סמהלודגהלילגהתכשלי"ערואלאצוי.ד"שתזומת,'התרבוח"תירבינב(Hebrew)

Fraenkel AH (1944) הקיסיפלוהקיטמתמלםיפדךותמ.ימילשומהחולבירבעהחולהתאתרשקמההחסונ. ד"שתרייא'יתרבוח.דמלתמהרעונל [A formula relating the Jewish calendar to theMoslemcalendar].

Dapim LeMatematica UlePhysica. [Pages in Mathematics and Physics for Youth]. (Hebrew) 4–6

Fraenkel AH (1944) The University and adult education. Davar, 10 Feb 1944. (Hebrew)

Fraenkel AH (1944) ל"זיירטנרהאןהכהךונחר"דברה [Rabbi Dr. Chanoch HaCohen Ehrentreu]. הפוצהHa’Tzofe, 5 Mar 1944, p 3 (Hebrew) #

Fraenkel, A.H. (1944) תבשהתיעבל [On the problem of the Sabbath.] רבד Davar 26th May 1944.

(Hebrew) #

Fraenkel AH (1944) ל"זןוסלנצכלרבלשותומדל [A eulogy for Berl Katznelson]. . הפוצה Ha’Tzofe, 18Aug 1944 (Hebrew) #

Fraenkel AA (1944) Problems and methods in modern mathematics – 5. Scripta Math X(3–4)

Fraenkel AH (1945) " תורבועמהםינשלט"זדאח"וגרדסהלשוו"דאתייחדלשםהיקומינלע ". [On the reasons

for delaying Rosh HaShana on Sundays, Wednesdays and Fridays, and on the order of leap

years]. In Fishman YL (ed) ,ותריטפלםינשרשעתואלמלקוקןהכהקחציםהרבאברהתמשנלןורכזיעדמ-ינרותץבוק . Jerusalem Mossad HaRav Kook, pp 180–185 (Hebrew)

Fraenkel AA (1945) Introduction, revision and annotation of " הקיטמתמהלשהיפוסוליפ ." “Philosophy

of mathematics (Hebrew)” by Weyl H. Translated by D. Meuhad (Klinghofer). The Hebrew

University Press Association, Jerusalem

Fraenkel AH (1945) . תירבעההטיסרבינואהוןוסלנצכ.בןיב Berl Katznelson and the Hebrew University.

Davar, 3רבדה"שתבאבד"כ Aug 1945 (Hebrew) #

Fraenkel AH (1945) . לקנרפיולהםהרבא’פורפהלשותאצרהתיצמת.םיסומינלךוניחהותינפוגההרשכהה Physical

training and an education in manners. A summary of Prof. Fraenkel’s lecture. ינפוגהךוניחהPhysical Education (4):3–4 (Hebrew) #

Fraenkel AH (1945) ך"נתהלאונלשרעונהסחי [Our youth’s attitudes towards the Bible]. In a section

ךונחתולאשלרודמ [Section on educational matters] ה"שתבאתירבינבתועידי B’nai Brit News,pp 18–20 (Hebrew) #

Fraenkel AH (1946) Address by Abraham A. Fraenkel. In: Founder’s Day: The Dropsie Collegefor Hebrew and Cognate learning. Addresses: The Honorable Herbert H. Lehman, Professor

Abraham Fraenkel. Dropsie College, Philadelphia, PA, pp 9–12 (English)

Fraenkel AA (1946) Einleitung in die Mengenlehre. Dover Publications, New York, NY, 424p

Fraenkel AA (1947) The recent controversies about the foundations of mathematics. Scripta Math

XIII(4):17–36

Fraenkel AH (1947) The Hebrew University and the regulation of secondary education in

Palestine. Jewish Education 18:2

Fraenkel AH (1947) . תואיצמהןמתוקוחרתואוושה . [Far-fetched comparisons]. A letter to the editor.

Ha’aretz, 9 Nov 1947 (Hebrew) #

Fraenkel AH (1948) The relation of equality in deductive systems. Library of the Xth Intern.

Congr. of Philosophy, Proceedings of the Congress, vol I, Amsterdam, pp 752–755 (published

1949)

Fraenkel A (1948) Principia Mathematica. In the section titled, ‘Readers’ Letters’. Letter to the

editor. Palestine Post, 27 Jan 1948 (English) #

Fraenkel AH (1948). היפוסוליפלירישעהימואלניבהסרגנוקהןמםימשר.היפוסוליפבםישדחםימרז . [New

currents in Philosophy. Impressions from the 10th International Congress on Philosophy]. . רודהHa’Dor, ט"שתןושח Nov 1948 (Hebrew) #

Fraenkel AH (1948) . הנושארהחיש.ירבעהחולהתודוסילע . [The basis of the Hebrew Calendar. First

conversation]. . 392דומע22.4.48,ח"שתןסינבג"י,33-32תרבוח'בךרכםידלילהפוצה Ha’Tzofe for

Children, vol 2, issue 32–33, 22 Apr 1948, p 392 (Hebrew)

Bibliography 219

Fraenkel AH (1948) . היינשהחיש.ירבעהחולהתודוסילע . [The basis of the Hebrew Calendar. Second

conversation]. 14-15דומע3.9.1948ט"שת,1תרבוח,'גךרכםידלילהפוצה Ha’Tzofe for Children, vol3, issue 1, 3 Sept 1948, pp 14–15 (Hebrew)

Fraenkel AH (1949) . תישילשהחיש.ירבעהחולהתודוסילע . [The basis of the Hebrew Calendar. Third

conversation]. םידלילהפוצה Ha’Tzofe for Children, 27 Jan 1949, pp 204–205 (Hebrew) ##

Fraenkel AH (1949) Problems and methods in modern mathematics. Scripta Math XV:169–182

Fraenkel AH (1949) 60ןב–ףסאהחמשברה [Rav Simcha Assaf – at age 60]. Ha’aretz זומתב'א.ט"שת28 June 1949 (Hebrew) #

Fraenkel AH (1949) וננמזבוונצראבםיטויפהותוליפתה [The prayers and the liturgical poems (piyyutim)in our land and in our time]. הפוצה Ha’Tzofe. ט"שתןסינבד"י a13 Apr 1949 (Hebrew) #

Fraenkel AH (1949) לארשיב"תירבינב"רדסמ [B’nai Brit Order in Israel]. רבד Davar י"שתירשתבב"י5 Oct 1949 )Hebrew) #

Fraenkel AH (1949) םינטקםיכפ [Notes]. רודה Ha’Dor ט"שתתבטב'י a11 Jan 1949 (Hebrew) #

Fraenkel AH (1949–1968) Editor for mathematics for the Encyclopedia Hebraica and author of

multiple entries, vols 1–19. Encyclopedia Publishing Co., Jerusalem (Hebrew)

Fraenkel AH (1950) הקיטאמיתאמבףוסניאה [Infinity in mathematics]. Entry in the Encyclopedia

Hebraica, vol 2, pp 959–960. Encyclopedia Publishing Co., Jerusalem (Hebrew)

Fraenkel AH (1950) " הקיתעהותורפסתנבהלךירדמכלארשיץראלשהמילקאוהפונ " [“The Landscape

and Climate of Israel as a Guide to Understanding its Ancient Literature”]. In: Asaf S,

Even Shmuel Y, Benjamin R, (eds) " הדוהילהחנמ " [“A present to Yehudah”], Jerusalem,

Rabbi Kook Institute and the Hebrew Association in South Africa (Hebrew)

Fraenkel AH (1950) ירבעהחולבתוערואמ [Events in the Hebrew Calendar]. Unknown journal, around

end of March or beginning of April 1950 (Hebrew) #

Fraenkel AH (1950) םלועהלכבחספברעתבשוםילשוריב"שלושמםירופ " [A three day Purim in Jerusalem

and a Sabbath on Erev Passover in the whole world]. חכ-זכםידומעי"שתרדאדהה Ha’Hed, March

1950, pp 27–28 (Hebrew) ##

Fraenkel AH (1950) Influencing secondary education. In: Spiegel M (ed) The Hebrew University

of Jerusalem 1925–1950, Semi-Jubilee Volume, 1950. Goldberg Press, Jerusalem, pp 108–110.

(English) Note: It seems like the following chapter, entitled ‘Adult Education’ (pp 111–114)

was also written by Fraenkel, but the authorship is not given

Fraenkel AH (1950) The commission for secondary education. In: Toren H (ed) The Hebrew

University of Jerusalem 1925–1950 הטיסרבינואה:רפסבקרפ.םיינוכיתרפסיתבלהדעווה.לקנרפ.ה.אי"שתםילשורי,85–83’מעןרותםייח:ךרוע,י"שת–ה"פרתהנשהכ-םילשוריבתירבעה. (Hebrew)

Note: It seems like the chapter entitled ‘Adult Education’ pp 97–99 was also written by

Fraenkel, but the authorship is not given

Fraenkel AH (1951) On the crisis of the principle of excluded middle. Scripta Math XV(1–2):5–16

Fraenkel AA (1952) L’axiome du Choix. Revue philosophique de Louvain 50(27):439–459 (Cf.

L’Enseignement Math. 34 (1935), 32–51)

Fraenkel AH (1952) תירבעההטיסרבינואבעבטהיעדמוןמצייוםייח . [ChaimWeizmann and the sciences at

the Hebrew University.] רבד Davar, 10 Dec 1952 (Hebrew) ##

Fraenkel AH (1952) אישנהרבד [Word of the President]. .ד"י’סמלארשילהלודגהלילגהתכשלתירבינבןיעידומןולע . Alon Modiin of B’nai Brit Large Lodge number 14, vol 6, May 1952 (Hebrew) ##

Fraenkel A (1953) . הרבגלאוהקיטמתירא:השידחההקיטמתמהןמתוטישותויעב:הקיטמתמלאובמ . [Introduction

to Mathematics: Problems and methods of modern mathematics: arithmetic and algebra].

Masada Publishing, Ramat Gan, Book (Hebrew)

Fraenkel AA (1953) Abstract Set Theory, 1st ed, Studies in logic and the foundations of mathe-

matics. North-Holland, Amsterdam, 479pp

Fraenkel AH (1953) Archimedes. Entry in the Encyclopedia Hebraica, vol 5, pp 926–929.

Encyclopedia Publishing Co., Jerusalem (Hebrew)

Fraenkel AH (1953) With tribulations, signs and wonders, and in war and in great terror.

( ד״ישתירשת(ב,אןייעמה.םילודגםיארומבוהמחלמבוםיתפומבותותואבתוסמב HaMaayan 1(2):7–11

(Hebrew)

220 Bibliography

Fraenkel A (1953) . תוצובקהתרות.בחרמהוףוסניאה:השידחההקיטמתמהןמתוטישותויעב:הקיטמתמלאובמ .[Introduction to Mathematics: Problems and methods of modern mathematics, vol 2. Infinity

and space. Set theory]. Magnes Press/Masada Publishing, Jerusalem/Ramat Gan. Book. 463pp

(Hebrew)

Fraenkel AH (1953) םינשוםימילע . [On days and years]. רבד Davar, 23 Oct 1953 (Hebrew) ##

Fraenkel A (1954) The intuitionistic revolution in mathematics and logic. J Bull Res Council Israel

3:283–289

Fraenkel AH (1954) " םירצונהלשאחספלחספןיבתודכלתה " [The convergence of passover with the

Christian holiday of Easter] רבד Davar, 16 Apr 1954 (Hebrew) ##

Fraenkel AH (1954) Issues of continuing education among workers. In: Banaari N (ed)

Orot – On questions of culture and education. Tel-Aviv, pp 84–87. תובשיתהבהלכשההתויעב87–84’מע,1954ביבא–לת,יראנבםוחנךרוע,'בץבוקךוניחהותוברתהתולאשל–תורוא.תדבועה

(Hebrew)

Fraenkel AH (1954) תבשבחספברעושלושמםירופ [A three day Purim and Erev Passover on the

Sabbath]. רקחמותורפס,תוברתוךונחיניינעלחיכתרבחןואטבתרבחמ . Les Cahiers de l’Alliance IsraeliteUniverselle. Issue 1–2, year 3, April 1954, pp 14–15 (Hebrew) ##

Fraenkel AA (1954) Pesach and Easter coincidence. The Jewish Chronicle, 9 Apr 1954, p 21

(English) ##

Fraenkel AH (1955)." יתדהץוביקבתוליפתהרדסלע " [On the order of prayers in the religious kibbutz] In:

Tirosh Y (ed) םיששהןבגרבספלוווהיעשי'רללבוירפס:היעשיליש Merkaz LeTarbut Shel HaPoelMizrahi,

Tel Aviv, pp 193–194

Fraenkel AA (1955) Integers and theory of numbers. Problems and methods in modern mathe-

matics. The Scripta Mathematica Studies Number 5 (dedicated to the memory of Chaim

Weizmann). Mack Printing, Easton, PA. Book. 102pp

Fraenkel AH (1955) Topography of Eretz Israel, vol 21, no 5. The Synagogue Light, New York,

NY

Fraenkel AA (1955) . הזילנא.השדחההקיטמתמהןמתוטישותויעב:הקיטמתמלאובמ [Introduction to

Mathematics: Problems and methods of modern mathematics. The number and the function,

analysis]. Masada Publishing, Ramat Gan and then Hebrew University Press Association,

Jerusalem (Hebrew)

Fraenkel AH (1955) Geometry. Entry in the Encyclopedia Hebraica, vol 10. Encyclopedia

Publishing Co., Jerusalem, pp 106–109 (Hebrew)

Fraenkel AH (1955) Non-Euclidian Geometry. Entry in the Encyclopedia Hebraica, vol 10.

Encyclopedia Publishing Co., Jerusalem, pp 118–121 (Hebrew)

Fraenkel AH (1955) Synthetic geometry. Entry in the Encyclopedia Hebraica, vol 10. Encyclo-

pedia Publishing Co., Jerusalem, pp 121–122 (Hebrew)

Fraenkel AH (1955) Projective and affine geometry. Entry in the Encyclopedia Hebraica, vol 10.

Encyclopedia Publishing Co., Jerusalem, pp 122–126 (Hebrew)

Fraenkel AH (1955) ךרכ.םילשוריבתירבעההטיסרביניאהתועידי.הטיסרבינואבעבטהיעדמברקחמהלע3.דומע.'אתרבוח5 [On research in the sciences at the university]. Bulletin of the Hebrew

University 5(1):3 (Hebrew)

Fraenkel AH (1955) Multi-dimensional geometry. Entry in the Encyclopedia Hebraica, vol 10.

Encyclopedia Publishing Co., Jerusalem, pp 126–127 (Hebrew)

Fraenkel AH (1955) Gauss, Carl Friedrich. Entry in the Encyclopedia Hebraica, vol 10. Encyclo-

pedia Publishing Co., Jerusalem, pp 143–148 (Hebrew)

Fraenkel AH (1955) Galois Evariste. Entry in the Encyclopedia Hebraica, vol 10. Encyclopedia

Publishing Co., Jerusalem, pp 788–789 (Hebrew)

Fraenkel AH (1955) 10.3.1955ץראה)בתכמ(.ןוכיתהךוניחה . [Secondary education]. (Letter) Ha’aretz,10 Mar 1955 (Hebrew)

Fraenkel AH (1955) . ו"טשתרייאבא"כאשמ.ןייטשנייאטרבלא . [Albert Einstein] Masa, 13 May 1955

(Hebrew)

Fraenkel AA (1956) Review: Franz von Krbek, Wohlordnung. J Symb Logic 21(1):96–97

Bibliography 221

Fraenkel AH (1956) 6ןוילג.תוברתהוךוניחהדרשמ.תוברתבוךוניחב.ןוכיתהךוניחבתומגמהתויעבמ

. ביבא-לת.ו"עקתרבוח.םיבשומהתעונתןוחריםימלתב,’חוכיולתורעה’כספדנןכו.10-9םידומע.ינוי [Difficulties

in the trends of secondary education.] Education and Culture. Published by the Ministry of

Education and Culture. June, pp 9–10. Also published in Telamim, the monthly Journal of theMoshav Movement, #176. Publication of the Moshavim movement, Tel-Aviv. (This article is

followed by one by M. Ziv which discusses Fraenkel’s points of view regarding secondary

education - pp 10–12) (Hebrew)

Fraenkel AH (1956) . ץראה.יקציולבקעי . Jacob Levitzki. Ha’aretz, 28 Mar 1956

Fraenkel AH (1956) 1.2.56.םרטב.םיירמחהויאנתולארשיברקחמה . [Research in Israel and its practical

conditions.] Be’Terem, 1 Feb 1956. A similar article was published in Ha’aretz, 20 Jan 1956.

(Hebrew)

Fraenkel AH (1956) ל"זיקציולבקעי Jacob Levitzki. הקיסיפוהקיטמתמתונוילג . Gilyonot Matematika

UPhisica, vol 8. Apr 1956, pp 110–111

Fraenkel A (1954/1957) [two volumes]. : השידחההקיטמתמהןמתוטישותויעב:הקיטמתמלאובמ. הירטמואג.בחרמהוףוסניאה [Introduction to Mathematics: Problems and methods of

modern mathematics: Infinity and space. Geometry]. Masada Publishing, Ramat Gan

Fraenkel AA, Bar-Hillel Y (1958) Foundations of Set Theory. Studies in Logic and the Founda-

tions of Mathematics. North-Holland, Amsterdam. Book. 415pp

Fraenkel A (1958) Historical introduction. In: Bernays P (ed) Axiomatic Set Theory. Studies inlogic and the foundations of mathematics series 21: 1, pp 1–35. North-Holland, Amsterdam

Fraenkel AH (1958) " איתמםושמ-איקריםושמ ". [Because of the vegetables – because of the dead]

(explanations for determining changes of date in the Jewish calendar). In: Braunstein S,

Chorgon G (eds) יקסרימןמלקלאומשדובכללבוירפס . Vaad HaYovel, New York, NY, pp 248–

250 (Hebrew)

Fraenkel A (1958) Paul Bernays und die Begr€undung der Mengenlehre. Dialectica Int J Philos

12:274–279

Fraenkel AA (1959) Mengenlehre und Logik, Berlin (Erfahrung und Denken, vol 2). Duncker &

Humblot. Book. 110pp

Fraenkel AA (1959) Philosophie der Mathematik. In: Die Philosophie im XX. Jahrhundert,

herausg. v. F. Heinemann (Stuttgart), pp 334–359

Fraenkel AA (1959) Review: Katuzi Ono, A set theory founded on unique generating principle. J

Symb Logic 24(3):227

Fraenkel AH (1959) אחספוחספ . [Passover and Easter]. ץראה Ha’aretz, 3 June 1959 (Hebrew) ##

Fraenkel AH (1959) תכרעמלבתכמ.תוחילסהחסונלע . [On the rendition of the Selichot. Letter to the

editor]. םידומע Amudim לולא Sept 1959, pp 7–8 (Hebrew) ##

Fraenkel AA (1960) Epistemology and logic. Synthese 12(4):333–337

Fraenkel A (1960) Theory of sets. In: Encyclopedia Britannica

Fraenkel AA (1960) Jewish mathematics & astronomy. Scripta Mathematica: A Quarterly Journal

Devoted to the Philosophy, History, and Expository Treatment of Mathematics 25:33–47.

(English) (Appeared in Hebrew in Tekhnika Umada series 65, Tel Aviv, 1947. 30pp.

עדמוהקינכט',ביבא-לת.םידוהיהלצאימונורטסאהויטמתמהרקחמה '. Footnote 12 of the ScriptaMathematica version claims that the essay was written in the 1930s)

Fraenkel AA (1961) Abstract Set Theory, 2nd completely revised edition. Studies in logic and the

foundations of mathematics. North-Holland, Amsterdam. Book. 295pp

Fraenkel AA (1962) A biography of G. Cantor. In: Zermelo E (ed) Gesammelte Abhandlungen

mathematischen und philosophischen Inhalts. Mit erlauternden Anmerkungen sowie mit

Erganzungen aus dem Briefwechsel Cantor-Dedekind. G. Olms Publishing, Hildesheim

Fraenkel AA (1964) Extension of the number-concept: groups and fields, rational, real, complex,

hypercomplex numbers. The Scripta Mathematica Series Number 10. Yeshiva University, New

York, NY, 88p

Fraenkel AH (1964) ".( םואוניטנוקה(ףצרהתיעבוהריחבהןורקע " [The principle of choice and the

continuum problem.]. 2תרבוחןושארךרכ,םיעדמלתילארשיהתימואלההימדקאהרבד . Israel National

222 Bibliography

Academy of Sciences, 1(2) Magnes Press, Hebrew University. Central Press, Jerusalem,

pp 1–10. זכרמסופד (Hebrew)

Fraenkel AA (1966) Abstract Set Theory, 3rd revised edition. North-Holland, Amsterdam, 297pp

Fraenkel AA (1966) Logik und Mathematik. Studium generale 19:127–135

Fraenkel AA (1966) Set Theory and Logic. Addison-Wesley, Reading, MA. Book. 102pp

Fraenkel AH (1966) " שדוחהשודיקוםינשהרוביע " [Intercalation of years and sanctification of the

month]. In: עדמותד,הנומא . Misrad HaChinuch VeHaTarbut, Jerusalem, pp 61–70 (Hebrew)

Fraenkel AA, Bar-Hillel Y (1966) Foundations of Set Theory, 2nd revised edition with A. Levy as

co-author. North-Holland, Amsterdam

Fraenkel AA, Bar-Hillel Y (1966) Foundations of Set Theory. Osnovaniia teorii mnozhestv. Mir

Publishing, Moskva

Fraenkel AA (1966) Das Leben Georg Cantors. In: Cantor, Georg: Gesammelte Abhandlungen

mathematischen und philosophischen Inhalts/Georg Cantor. Mit erl. Anm. sowie mit

Erganzungen aus dem Briefwechsel Cantor - Dedekind. Hrsg. von Ernst Zermelo. Nebst

einem Lebenslauf Cantors von Adolf Fraenkel. - Reprografischer Nachdr. d. Ausg. Berlin

1932. - Hildesheim [u.a.]: Olms, 1966. – pp 452–483. (Olms-Paperbacks ; 24) [Sammlung]. -

Reprografischer Nachdr. d. Ausg. Berlin 1932

Fraenkel AA (1967) Lebenskreise: aus den Erinnerungen eines judischen Mathematikers.

Deutsche Verlags-Anstalt, Stuttgart, 207p

Fraenkel A (1967) The notion of ‘definite’ and the independence of the axiom of choice (1922).

Reprinted in van Heijenoort, From Frege to G€odel: a source book in mathematical logic, 1879–

1931, Harvard University Press

Fraenkel AA (1967) The principle of choice and the continuum problem. The Proceedings of the

Israel Academy of Sciences and Humanities, vol 1, Chap. 2. Central Press, Jerusalem (English)

Fraenkel AA (1968) Mengenlehre und Logik. Duncker & Humblot, Berlin, 110pp

Fraenkel AA (1968) Historical introduction. In: Bernays P (ed) Axiomatic Set Theory, 2nd ed.

Studies in logic and the foundations of mathematics. North-Holland, Amsterdam

Fraenkel AA (1968) Abstract Set Theory. 4. VIII. North-Holland, Amsterdam [u.a.], 297 S

(Studies in logic and the foundations of mathematics)

Fraenkel AH (1969) חול Calendar. Entry in the Encyclopedia Hebraica, vol 21. Encyclopedia

Publishing Co., Jerusalem, pp 335–353 (Hebrew)

Fraenkel AA (1970) Teoria degli insiemi e logica. Translated by Marfurt M. Ubaldini Editore,

Roma, 108pp (Italian)

Fraenkel AA (1971) Teorıa abstracta de conjuntos. Tarea, Revista de iniciacion filosofica.

Universidad Nacional de La Plata, Pertence, 137pp

Fraenkel AA (1972) Zehn Vorlesungen €uber die Grundlegung der Mengenlehre.

Wissenschaftliche Buchgesellschaft, Darmstadt. Book. 182pp

Fraenkel AA (1972) Einleitung in die Mengenlehre. Sandig publisher, Walluf (bei Wiesbaden),

424pp, 13 graph (German)

Fraenkel AA, Bar-Hillel Y, Levy A with the collaboration of Dirk van Dalen (1973) Foundations

of Set Theory, 2nd revised edition. Studies in logic and the foundations of mathematics, vol 67.

North-Holland, Amsterdam, 404pp

Fraenkel AA (1976) Teorıa de los conjuntos y logica. Universidad Nacional Autonoma, Mexico.

Instituto de Investigaciones Filosoficas, 136pp (Spanish)

Fraenkel AA, Levy A (1976) Abstract Set Theory, 4th revised edition. North-Holland, Amsterdam

Fraenkel AA, Bar-Hillel Y, Levy A (1984) Foundations of Set Theory, 2nd revised edition. Studies

in logic and the foundations of mathematics, vol 67. North-Holland, Amsterdam

Fraenkel AA (1991) Historical introduction. In: Bernays P (ed) Axiomatic Set Theory. Dover

Publications, New York, NY

Fraenkel AA (2004) Integers and theory of numbers, Dover Phoenix edition. Dover Publications,

Mineola, NY, 102pp

Fraenkel AH (unknown) ףוסניאהתלאשןיבלהניברשקהוםיליבקמהתייעב . [The problem of parallel lines

and its relation to the question of infinity]. Unknown journal, pp 2–3 (Hebrew) #

Bibliography 223

Fraenkel AH (unknown) לארשיבעדמהםודיקלדוגיאה [The Israel Society for the Advancement of

Science]. Unknown journal (Hebrew) ##

Fraenkel AH (unknown) . תבשבןשושוםירופ . [Purim and Shushan Purim on the Sabbath]. ץראהHa’aretz (Hebrew) ##

Fraenkel AH (unknown) Uber die praktische Arbeit des deutschen Misrachi in Eretz-Israel, 2p

(German) #

Fraenkel AH (unknown) הווצמ–תווצמהתריקח [Investigation of “The Commandments” is a

commandment]. Unknown Journal 9–10. (Hebrew)

Published Interviews with Fraenkel

(1936) 500 Studenter ved Jerusalems Universitet [500 students at Jerusalem University]

Studentenes ydelser gjennemgaende høiere enn i Europa.[Students’ performance better than

in Europe] En samtale med den palestinske regjerings representant ved matematiker-

kongressen, Professor Fraenkel. [A conversation with the Palestinian government representa-

tive at the Mathematical Congress, Professor Fraenkel.] Tidens Tegn tirsdag, 14 July 1936

Oslo 9 (Norwegian) #

(1951). לארשיבןוכיתה [Secondary education in Israel]. עובשהרבד . Dvar HaShavua 9:5. 1 Mar 1951

(Hebrew) #

(1955) . ו"טשתרדא,א"י.םינפלאםינפ.לארשילתישארהתונברהלע [On the Chief Rabbinate in Israel].

Panim el Panim 11:12. 2 Mar 1955 (Hebrew) #

(1960) ונימבדחוימדימלת [A unique student]. In the section טנדוטסהיהרוספורפהשכ [When the

Professor was a student] ןותאהיפ Pi Ha’Aton, 25 May 1960 (Hebrew) ##

(1961) ? תילרבילההגלפמליתפרטצהעודמ Why did I join the liberal party? Ha’Boker, 26 May 1961, p 3

(Hebrew) #

(1961) רוספורפהיהאלרוספורפהשכ [When the Professor had not been a professor] Pi Ha’Aton, 6 Dec1961 (Hebrew) ##

224 Bibliography

Index of Names

AAbel, Niels Henrik (1802-1829), 122

Abraham ben Isaac of Narbonne (Rabbi), 2

Adler-Rudel, Salomon (1894-1975), 30

Agnon, Shmuel Yoseph (1888-1970), 195

Alexander, James (1888-1971), 145

Alfred Bernheim (1885-1974), ii

Alter, Abraham Mordechai (Rabbi of Gur)

(1866-1948), 30, 191

Althoff, Friedrich (1839-1908), 66, 76

Amam, Sasson ben, 205

Amira, Benjamin (1896-1968), 130, 139

Archimedes (ca 287 BCE-ca 212 BCE),

77, 220

Aristotle (384-322 BC), 85, 136, 152

Asher, Siegfried (1877-1962), 4

Assaf, Simcha (Rabbi, Professor) (1889-1953),

151, 163, 191, 220

Auerbach, Abraham (1763-1845), 2, 204

Auerbach, Abraham (of Cologne)

(1853-1935), 6

Auerbach, Aviezri Zelig (1726-1767), 6, 204

Auerbach, Benjamin (Zvi) Hirsch (Rabbi)

(1808-1872), 1, 2, 6, 47, 204

Auerbach, Ester Rebecca nee Oppenheim

(1785-1864), 2, 204

Auerbach, Gittel Sinzheim, 204

Auerbach, Gutta (1837-1840), 204

Auerbach, Lea nee Fraenkel (1814-1884),

2, 204

Auerbach, Moses (1881-1976), 47, 48, 160,

162, 204

Auerbach, R€oschen Rosa nee Hirsch

(1843-1932), 13, 204

Auerbach, Selig Aviezri (Rabbi) (1840-1901),

12, 13, 28, 47, 155, 201, 204

Auerbach, Siegfried M. (1886-1971), 2

Auerbach, Toni nee Fraenkel (1865-1922),

6, 204

Aumann, Robert J. (Yisrael) (born 1930), 177

BBadt, Benno (1844-1909), 100

Badt Hermann (1887-1946), 100, 101

Badt, Martha (1858-1929), 100

Baeck, Leo (Rabbi) (1873-1956), 30, 151

Baeyer, Adolf von (1835-1917), 68

Ballin, Albert (1857-1918), 7

Baneth, Eduard (1855-1930), 93, 101

Bar-Hillel, Yehoshua (1915-1975), xi, xvii,

xix, xx, 111, 121, 127, 178

Barshai, B., 184

Barth, Aron (Arnold) (1890-1957), 71, 90, 93,

108, 155, 159, 160

Barth, Jakob (Privy Government Councilor,

Professor) (1851-1914), 92, 93,

155–156

Bato, Yomtov Ludwig (born 1895), 4

Becker, Carl Heinrich (1876-1933), 151

Beer-Hofmann, Richard (1866-1945), 16, 198

Bell, JohnLane (born 1945), 178

Ben Gurion, David (1886-1973), 190

Benari, Nahum (1893-1963), 181, 183

© Springer International Publishing Switzerland 2016

A.A. Fraenkel, Recollections of a Jewish Mathematician in Germany,DOI 10.1007/978-3-319-30847-0

225

Benayahu, Meir (1926-2009), 121

Bergen-Belsen, 118, 205

Bergmann, Hugo (1883-1975), 151, 171

Berlin (Bar-Ilan), Meir (1880-1949), 159

Bernays, Isaac (Chacham) (1792-1849),

135–136

Bernays, Paul (1888-1977), 127, 135, 144

Beseler, Hans Hartwig von (1850-1921), 31

Beth, Evert Willem (1908-1964), 168

Bialoblocki, Samuel (1893-1960), 155

Bieberbach, Ludwig (1886-1982), 61, 96, 126,

138, 140, 141, 148

Bismarck (F€urst), Otto von (1815-1898), 7, 40

Bjerknes, Vilhelm (1862-1951), 111

Blaschke, Wilhelm (1885-1962), 141

Bleichr€oder, Gerson (1822-1893), 7

Bloch, Henry Simon (1915-1988), 204

Bloch, Rahel nee Fraenkel (1921-2015), 117,

182, 197, 204, 205

Blumenfeld, Kurt (1884-1963), 147, 159

Blumenthal, Ludwig Otto (1876-1944

Theresienstadt concentration camp), 65

Bodenheim-Fraenkel, Daubchen, 2

Bodenheim-Fraenkel, Isaak Eisenmann, 2, 204

Bohr, Harald (1887-1951), 61, 138, 148

Bohr, Niels (1885-1962), 91, 134, 138, 146,

148, 149

Bondi, Samuel (1794-1877), 8, 205

Bondi, Sophie Epstein (d 1871), 8, 205

Born, Max (1882-1970), 146

Borries, Achim von, 84

Borst, Maximilian (1869-1946), 107

Brauer, Ludolph (1865-1951), 107

Braun, Otto (1872-1955), 101

Breuer, Else Lea nee Fraenkel (1896-1927), 15,

49, 196, 204

Breuer, family, 163

Breuer, Isaac (1883-1946), 26, 28, 80, 81, 204

Breuer, Jenny Esther Eisenmann (1892-1985),

204

Breuer, Salomon (Rabbi, Dr.) (1850-1926), 23,

28, 80, 204

Breuer, Samson (1891-1974), 193, 204

Breuer, Sophie Tzipporah Hirsch (1852-1921),

204

Brodetsky, Selig (1888-1959), 139, 167

Brouwer, Luitzen Egbertus Jan (1881-1966),

132, 134, 136, 137, 152, 154

Brusilov, Aleksei Alekseevich (1853-1926),

108

Buber, Martin (1878-1965), 84, 108, 109, 157,

159, 176

B€uchler, Adolf (1867-1939), 157Bultmann, Rudolf (1884-1976), 150

Burali Forti, Cesare (1861-1931), xi

CCahn, Lea Kober (1899-1981), 204

Cahn, Leo Yehuda (1889-1958), 204

Cantor, Georg (1845-1918), xi, xii, 65, 85, 95,

126, 135, 136, 144, 214, 216, 217, 222,

223

Cantor, Moritz (1829-1920), 135

Caratheodory, Constantin (1873-1950), 60

Carl Anderson (1905-1991), 91

Carlebach, Alexander (1908-1992), 30

Carlebach, Emanuel (Rabbi) (1874-1927), 30

Carlebach, Joseph (Rabbi) (1883-1942

murdered in Biıerniecki forest,Latvia),

30, 92

Carnap, Rudolf (1891-1970), 127, 129, 166

Cassirer, Ernst (1874-1945), 82, 86

Cauchy, Augustin Louis (1789-1857), 140

Chwolson (also Khvol’son), Daniel Joseph(1819-1911), 72

Chwolson, Orest Danilovich (1852-1934), 72

Cohen, Hermann (1842-1918), 76, 82, 84–86,

90, 151, 157

Cohen, Jacob Ze’ev (1924-1972), 192, 204

Cohen, Morris R. (1880-1947), 165

Cohen, Paul Joseph (1934-2007), xii, xiii, 126,

134

Cohen, Tirza, nee Fraenkel (1925-2013), 117,

190, 192, 197, 204, 205

Cohen, Uri, 184, 185, 187

Cohn, Hanna nee Auerbach (1879-1946), 155,

204

Cohn, Naphtali (Rabbi) (1873-1939), 155, 204

Cohn, Ruben, 194

Coppenhagen Philip (Rabbi) (1878-1944), 194

Courant, Richard (1888-1972), 110, 138, 140

DDarwin, Charles (1809-1882), 71

Da’ud Pasha (1767-1851), 119

Dehn, Max (1878-1952), 100, 101

Denjoy, Arnaud (1884-1974), 137

Dessau, Bernardo (1863-1950), 93

Dessau, Emma, nee Goitein (born 1877), 93Dessau, Hermann (1856-1931), 93

Dessauer, Friedrich (1881-1963), 157

Deutschlander, Leo (1889-1935), 162

226 Index of Names

Dickson, Leonard Eugene (1874-1954), 99

Dirichlet, Peter Gustav Lejeune (1805-1859),

57, 75

Dirichlet, Rebecka, nee Mendelssohn

(1811-1858), 75

Dohm, Ernst (1819-1883), 62

Dohm, Hedwig (1833-1919), 63

Dreyfus, Alfred (1859-1935), 18

Drori, Nathan, 4

Dubislav, Walter (1895-1937), 127

EEbert, Hermann (1861-1913), 84

Edel, Susan, 4

Ehrentreu, Heinrich (Chanoch) (Rabbi, Dr.)

(1854-1927), 8, 23, 24, 29, 38, 46, 47,

90, 91, 201, 204, 219

Ehrlich, Paul (1854-1915), 98, 138

Einstein, Albert (1879-1955), xiv, xv, 43, 61,

65, 66, 91, 123, 134, 139, 144–149, 165,

167, 171, 195, 221

Eisenhower, Dwight D, (1890-1969), 142

Eisenmann, Dientje Dinah Prins (1863-1944

Bergen Belsen), 204, 205

Eisenmann, Jacob (1860-1913), 204

Eisenstein, Ferdinand Gotthold Max

(1823-1852), 65, 122

Eisner, Kurt (1867-1919), 17, 115

Elijah ben Shlomo Zalman (Vilna Gaon)

(Rabbi) (1720-1797), 21

Eliner, Dora Dvora, nee Fraenkel (1904-1982),

15, 49, 204

Eliner, Eliezer (Urdang) (1904-1981), 204

Ellinger, Leo (Councilor of Commerce), 14

Epstein, Jenny (d. ca 1936), 205

Epstein, Paul S. (1883-1966), 91

Ettinghausen, Hedwig (Hedl) (1886-1965), 47

Ettinghausen, Maurice L. (1883-1974), 10, 47

Eytan, Walter (1910-2001), 10

Ezra, (Sir) David (1871-1947), 120, 205

Ezra, (Lady) Rachel nee Sassoon (1877-1952),

120, 205

FFajans, Kasimir (1887-1975), 158

Farbstein, Joshua Heschel (1870-1948), 133,

159

Farkas, Ladislaus (1904-1947), 144

Feist, Hannah Eisenmann (1960), 204

Feist, Louis (Councilor of Commerce)

(1875-1913), 14, 28

Feist, Philipp (1890-1943 Auschwitz), 92, 204

Fekete, Michael (1886-1957), xviii, 131, 132,

166, 173

Feller, Willy (1906-1970), 128, 129

Fermat, Pierre de (1601-1665), 59, 60, 94

Fermi, Enrico (1901-1954), 159

Fermi, Laura, nee Capon (1907-1977), 159

Fessler, Julius (1862-1937), 104

Feuchtwanger, August (1870-1938), 6, 35, 51,

204

Feuchtwanger, Berta nee Fraenkel

(1875-1961), 6, 204

Feuchtwanger, David (1832-1907), 4

Feuchtwanger, Elkan (1823-1902), 4

Feuchtwanger, Fanny, 4

Feuchtwanger, Flora Sassoon (1914-2000), 205

Feuchtwanger, Henriette, nee Schwarzschild

(1834-1903), 64

Feuchtwanger, Jacob Loew (1821-1890), 4, 6, 13

Feuchtwanger, Lion (1884-1958), 35

Feuchtwanger, Lothar (1856-1913), 13

Feuchtwanger, Ludwig (Ludschi) (1885-1947),

35

Feuchtwanger, Moritz (1828-1910), 4, 64

Feuchtwanger, Rebekka (Rivka), nee Gluskinos

(“Rhea Glus”) (1888-1972), 99

Feuchtwanger, Seligmann (1786-1852), 4

Feuchtwanger, Sigbert Aharon Meir

(1886-1956), 100

Feuchtwanger, Sigmund (1854-1916), 25, 35

Feuerstein, Joshua (born 1982), 182

Feuerstein, Miriam (Mimi), nee Bloch

(born 1956), 201

Fichte, Johann Gottlieb (1762-1814), 154

Fischer, Fritz (1908-1999), 19

Fishman (Maimon), Yehuda (Judah) Leib

(1876-1962), 159

Fraenckel, Jonas (Councilor of Commerce)

(1773-1846), 4

Fraenkel, Abraham (1792-1858), xix, xx, 1–5,

204

Fraenkel, Abraham Adolf HaLevi

(1891-1965), 204, 205

activities for the public, xviii, 100, 155,

180–189

childhood and adolescence, 1891-1910,

37–57, 68–69

end of life, xvii, 200

family and home life, 115–118, 130,

193–198

at Hebrew University 1929-1931, 165–166

at Hebrew University after 1933, 147–148,

169–177

Index of Names 227

Fraenkel (cont.)impact, ix–xv, xix–xx, 199–202

life, xvii–xx

military service in WWI, 1914-1918,

103–114

publications, 42, 55, 56, 59, 83, 88, 97,

109–111, 123–127, 132, 136, 154, 157,

160, 177–180, 213–224

religiosity and religious life, xviii–xx, 38,

43, 46–48, 54, 71–74, 90–94, 99, 103,

105, 108, 155, 157, 190–192, 201

teaching at universities in Germany,

1919-1929, 123–133, 139, 152, 154

at University of Kiel, 1931-1933, 166–168

university studies at Prussian Universities,

1910-1914, 74–75, 79–80, 84–101

zionist activity, 29, 108–109, 114, 159–163,

167, 187

Fraenkel, Abraham Halevi (1792-1858), 1–5,

56, 204

Fraenkel, Adolf Abraham (1859-1868), 6, 204

Fraenkel, Alfred Abraham (1894-1951), 204

Fraenkel, Aviezri Sigmund (born 1928), 117,

192, 197, 204, 205

Fraenkel, Benjamin Zeev (1923-2013), 204,

205

Fraenkel, Benjamin Ze’ev (Wolfgang)

(1923-2013), 117, 192, 197, 204, 205

Fraenkel, Bertha Ehrentreu (1895-1965), 204

Fraenkel, Charlotte (Chaya Sara), nee

Neuburger (1868-1965), 3, 5, 10, 11, 15,

17, 20, 29, 34, 35, 48, 50, 51, 54, 69,

129, 133, 201, 204

Fraenkel, David (1704-1762), 4

Fraenkel, Emil (1867-1942), 6, 204

Fraenkel, Eugen Joel (1892-1973), 12, 15, 19,

38–40, 44, 48–51, 54, 56, 71, 162, 204

Fraenkel, Fromet Kann (d. 1789), 204

Fraenkel, Heinrich (1862-1940), 6, 9, 15, 204

Fraenkel, Irene Guggenheim (1905-1925

Estella Esther Pineas Fraenkel), 204

Fraenkel, Israel ben Koppel Halevi

(ca. 1640-1700), 4

Fraenkel, Judith, nee Cahn (born 1929), 192,

204

Fraenkel, Koppel, 4

Fraenkel, Koppel Jacob (1833-1915), 2, 5, 204

Fraenkel, Nanette Perl, nee Neubauer

(1808-1881), 1–5, 204

Fraenkel, Rahel, nee Auerbach (1839-1915), 1,

6–10, 13, 48, 204

Fraenkel, Rosl, nee Neuburg (ca 1755-1838), 5,

204

Fraenkel, Sarah Jacqueline Masse

(1937-2009), 204

Fraenkel, Seckel (1748-1820), 204

Fraenkel, Sigmund Aviezri (Privy Councilor of

Commerce) (1860-1925), 1, 5–7, 9–29,

31–34, 38–40, 42, 43, 47, 48, 50, 56, 71,

73, 76, 79, 86, 94, 98, 100, 115, 117,

139, 155, 200, 201, 204, 216

Fraenkel, Wilhelm (Zechariah Benjamin Wolf)

(1830-1907), 1, 2, 5, 6, 9, 10, 14, 48, 50,

200, 204

Fraenkel, Wilhelmina (Wilma, Malka), nee

Prins (1892-1983), 47, 73, 76, 87, 115,

116, 118, 120, 129–131, 143, 150–152,

162, 163, 166, 167, 180, 197, 201, 204,

205

Fraenkel, Yitzhak Seckel Sigmund (born

1827), 2, 5, 204

Fraenkel, Zacharia (ca 1701-1781), 204

Franz Ferdinand, Archduke of Austria-Este,

Austro-Hungarian and Royal Prince of

Hungary and of Bohemia (1863-1914),

101

Franz Joseph (Emperor) (1830-1916), 143

Freimann, Aron (1871-1948), 23

Freudenberg, Ernst (1884-1967), 152

Friedman, H., 183

Frobenius, F. Georg (1849-1917), 94, 95

Fuchs, Lazarus (1833-1902), 55

Fuchs, Rudolf (Bible translator), 38, 46

GGabbai, Saleh ben, 205

Gaifmann, Haim (born 1934), xviii

Galois, Evariste (1811-1832), 122

Gauss, Carl Friedrich (1777-1855), 55, 56, 75,

94, 122, 123, 127, 137, 138, 141, 145

Gautsch (Privy Councilor), 34

Gawronsky, Dimitry (1883-ca 1950), 85, 86

Gesenius, Wilhelm (1786-1842), 46

G€odel, Kurt (1906-1978), xii, 144, 145Goethe, Johann Wolfgang von (1749-1832),

16, 72, 198

Goldschmidt, Victor M. (1888-1947), 158

Goldstein, Sydney (1903-1989), 165

Goldziher, Ignaz (Ignac) (1850-1921), 93

Gordan, Paul (1837-1912), 57

Gordon, Eliezer (1840-1910) of Telz, 90

Goursat, Edouard (1858-1936), 140

Gradenwitz, Rafael, 92

Graetz, Heinrich (1817-1891), 68

Graetz, Leo (1856-1941), 68

228 Index of Names

Grassmann, Hermann (1809-1877), 56

Gronemann, Sammy (1875-1952), 30, 31

Guggenheim, Sally, 92

Guggenheim, Toni Taubschen Auerbach

Guggenheim (1840-1920), 204

Gumpertz, Fritz (Friedrich) (1888-1968), 46,

47, 90

Gumpertz, Hermann (1851-1938), 155

Gumpertz, Simon, 47

G€unther, Siegmund (1848-1923), 14, 55, 111

Guttmann, Jakob (1845-1919), 99

Guttmann, Julius (1880-1950), 99

HHadamard, Jacques (1865-1963), 61, 139

Haeckel, Ernst (1834-1919), 71–73

Hahn, Dr. Georg, 76

Hahn, Martin (1865-ca 1940), 76, 107

Hahn, Otto (1879-1968), 96, 97

Halevi Gerondi, Zerahia (Baal Ha-Maor)

(1125-ca 1186), 191

Hamburger, Meyer (1838-1903), 55

Hardy, Godfrey Harold (G. H.) (1877-1947),

128, 138

Harnack, Adolf von (1851-1930), 153

Harris, Bruria nee Kaufman (1918-2010), 146

Harris, Bruria, nee Kaufman (1918-2010), 145

Harris, Zellig Sabbettai (1909-1992), 145

Hartmann, Nicolai (1882-1950), 86

Hasse, Helmut (1898-1979), 77, 127–129, 154

Hayman, Walter Kurt (born 1926), 76

Haymann, Franz (1874-1947), 76

Haymann, Ruth, nee Hensel (1888-1979), 76

Hegel, Georg Wilhelm Friedrich (1770-1831),

73, 157

Heidegger, Martin (1889-1976), 150

Heidenheim, Wolf (1757-1832), 4

Heiler, Friedrich (1892-1967), 150

Heimsoeth, Heinz (1886-1975), 86

Heisenberg, Werner (1901-1976), 146

Held, Heinrich (1868-1938), 17, 33

Hellinger, Ernst (1883-1950), 83, 89, 98, 110,

124

Hensel, Fanny, nee Mendelssohn (1805-1847),

75

Hensel, Gertrud, nee Hahn (1866-1954), 76

Hensel. Julie, nee von Adelson (1836-1901), 75

Hensel, Kurt (1861-1941), x, 74–77, 79, 81, 83,

86–89, 97, 98, 109, 117, 125, 127, 196

Hensel, Paul (1860-1930), 76

Hensel, Sebastian (1830-1898), 75

Hensel, Wilhelm (1794-1861), 75

Hermite, Charles (1822-1901), 58

Herr, Moshe David (born 1935), 173, 175, 192,

196, 198, 199

Hertling, Georg Freiherr von (1843-1919), 25, 31

Herzl, Theodor (1860-1904), 16

Herzog, Yitzhak HaLevi (Rabbi) (1888-1959),

8, 191

Hessenberg, Gerhard (1874-1925), 100

Heyting, Arend (1898-1980), 136

Hilbert, David (1862-1943), xii, xiv, 66, 82, 98,

101, 124, 127, 132, 134–138, 141, 144,

152

Hildesheimer, Azriel (Rabbi) (1820-1899), 2,

12, 13, 23, 93, 207

Hirsch, Abraham (1867-1920), 31

Hirsch, Aron (1783-1842), 13, 204

Hirsch, Aron (1858-1942), 12, 13, 204

Hirsch, Benjamin (Councilor of Commerce)

(1840-1911), 1, 2, 9, 12–14, 28, 31, 76,

204

Hirsch, Emil (1870-1938), 12, 94, 204

Hirsch, Josef (Councilor of Commerce)

(1809-1871), 13, 204

Hirsch, Joseph (Physician) (1876-1947), 13,

92, 204

Hirsch, Julie (Julchen), nee Auerbach

(1844-1916), 9, 13, 14, 204

Hirsch, Leah Cohn (C1820-1879), 204

Hirsch, Naftali (1743-1853), 204

Hirsch, Samson Raphael (Rabbi) (1808-1888),

2, 23, 28, 64, 80, 93, 204

Hitler, Adolf (1889-1945), 32, 33, 51, 61, 97,

128, 150, 159, 162

Hochschild, Zacharias (1854-1912), 14

Hoffmann, David (Rabbi) (1843-1921), 8, 46,

71, 92, 93, 95, 156, 161

Hoffmann, Ernst Theodor Amadeus (E. T. A.)

(1776-1822), 142

Hoffmann, Jakob (Rabbi) (1881-1956), 160

Homer, 42, 45, 49, 198

Horovitz, Josef (1874-1931), 98

Horovitz, Marcus (Rabbi) (1844-1910), 28

Hueck, Werner (1882-1962), 107

Hurwitz, Adolf (1859-1920), 135

Husserl, Edmund (1859-1938), 150

IIpfelkofer, Adalbert, 42

Israel Amy Josefa Solomon (1872-1954), 205

Israel ben Eliezer (Baal Shem Tov), 208

Index of Names 229

Israel, Berthold (1868-1935), 116, 205

Israel, Herbert (1904-1964), 205

Israel, Wilfrid (1899-1943), 116, 205

JJabotinsky, Ze’ev (1880-1940), xiv

Jacob d, 205

Jacobi, Carl Gustav Jacob (1804-1851), 56, 57, 65

Jacobsohn, Hermann (1879-1933), 152

Jacobson, Sara Abraham (1809-1864), 205

Jacobson, Yaacov Meir Levin (1807-1879),

205

Jaensch, Erich (1883-1940), 140

Jaensch, Erich Rudolf (1883-1940), 45, 82

Jellinek, Adolph (Rabbi) (1821-1893), 133

Jellinek, Georg (1851-1911), 133

Jellinek, Walter (1885-1955), 133

Joliot-Curie, Irene (1896-1956), 96

Jung, Leo (Rabbi, Dr.) (1892-1987), 94

Jung, Meir Moritz (Rabbi, Dr.) (1859-1921),

94

Jungk, Robert (1913-1994), 96, 142

KKahaneman, Yosef Shlomo (Rabbi)

(1886-1969), 156

Kan, Mietje nee Elias (1869-1943

Westerbork), 194

Kan, Roosje, 194

Kant, Immanuel (1724-1804), 68, 69, 72,

84, 85

Kaplan, Avraham Eliyahu (Elya) (Rabbi)

(1889-1924), 46, 156, 217

Karelitz, Avrohom Yeshaya (Chazon Ish)

(Rabbi) (1878-1953), 191

Karman, Theodore von (1881-1963), 61

Karpeles, Gustav (1848-1909), 87

Katznelson, Berl (1887-1944), 111, 219

Kauders, Ben-Zion (1907-1974), 188

Klausner, Joseph (1874-1958), 184

Kleene, Stephen Cole (1909-1994), 136

Klein, Arnold Abraham (ca 1880-1961), 24

Klein, Felix (1849-1925), 127, 138, 141

Kober, Aron (1864-1921), 99, 100, 204

Kober, Bertha, nee Auerbach (1874-1963),

100, 204

Kober, Joseph, 99

Kober, Wilhelm, 99

Kohn, Pinchas (Rabbi, Dr.) (1867-1941), 25,

26, 28, 30

K€onigsberger, Leo (1837-1921), 55

Konijn, Julie nee Prins (1883-1945

Bergen-Belsen), 194

Konjin, Soesman (1875-1945 Bergen-Belsen),

194

Kook, Abraham Isaac (Rabbi) (1865-1935),

156, 162

Korn, Arthur (1870-1945), 92

Kossel, Walter (1888-1956), 148

Kronecker, Leopold (1823-1891), 65, 76, 95

Kroner, Richard (1884-1974), 166

Kroner, Theodor (Rabbi) (1845-1923), 166

Kr€uger, Paul (Ohm) (1825-1904), 18

Krull, Wolfgang (1899-1971), 123

K€uhl, August (1885-1955), 113–114Kummer, Ernst Eduard (1810-1893), 94

Kun, Bela (1886-1938), 143

K€urschak, Jozsef (1864-1933), 88

LLandau, Edmund Jecheskel (1877-1938), xiv,

61, 66, 96, 98, 130, 131, 134, 135,

137–141, 148, 217

Landau, Leopold (1848-1920), 137

Landau, Yechezkel ben Yehuda (Rabbi)

(1713-1793), 130

Landauer, Abraham (1859-1925), 48

Landauer, Gustav (1870-1919), 32, 115

Landauer, Isidor, 48

Landauer, Rafael (ca 1850-1914), 48

Lange, Friedrich Albert (1828-1875), 82

Langevin, Paul (1872-1946), 145

Laplace, Pierre Simon (1749-1827), 72

Lasker, Eduard (1829-1884), 23

Lavsky, Hagit, 184

Lehmann Ascher Lamle (Lemuel)

(1769-1858), 205

Lehmann, Marcus Meir (Rabbi) (1831-1890),

116, 205

Lehmann, R€oschen Sussmann (1787-1858), 205

Lehmann, Roeschen Therese Bondi(1828-1901), 8, 205

Leibniz, Gottfried Wilehlm von (1646-1716),

65, 69, 85, 152

Leibowitz, Yeshayahu (1903-1994), 190

Lemuel, Ascher Lamle, 205

Lenard, Philipp (1862-1947), 146

Lenbach, Franz (1836-1904), 60

Leopold (Prince of Bavaria) (1846-1930), 31

Less, Emil (1855-1935), 111

Lessing, Gotthold Ephraim (1729-1781), 41

Lessing, Theodor (1872-1933 murdered by

Nazis in Marienbad), 127

230 Index of Names

Levi, Azriel (born 1934), 178

Levi-Civita, Tullio (1873-1941), 61, 158

Levin, Shmaryahu (1867-1935), 161

Levinger, Louis Elieser (1897-1979), 204

Levinger, Paula Perl Tirza, nee Fraenkel

(1901-1993), 15, 48, 49, 51, 204

Levitsky, Jacob (1904-1956), 132

Levy, Azriel (born 1934), ix, xi, xvii, xviii, 127

Lewy, Israel (1841-1917), 93, 99

Lichtenstein, Leon (1878-1933), 110

Liebig, Justus von (1803-1873), 43

Lindemann, Ferdinand E. von (Privy

councilor) (1852-1939), 54, 58–60

Lindenbaum, Adolf (1904-1941 killed by

Nazis in Paneriai), 126

Lipschitz, Israel (1782-1860), 54

Littlewood, John Edensor (1885-1977), 138

Lob, Sara (1858-ca 1903), 205

Loeb, Hannchen Auerbach (1842-1905), 204

Loewy, Alfred (1873-1935), 10, 54–56, 74, 80,

87, 88, 93, 193, 201, 204, 217

Loewy, Therese, nee Neuburger (1884-1940),

10, 11, 55, 193, 204

L€ow, Immanuel (Rabbi) (1854-1944), 157

Ludendorff, Erich (1865-1937), 19, 111

Ludendorff, Hans (1873-1941), 111

Ludwig III, King of Bavaria (1845-1921), 17

Luitzen Egbertus Jan (1881-1966), 137

Łukasiewicz, Jan (1878-1956), 153

L€uroth, Jacob (1844-1910), 54

MMagidor, Menachem (born 1946), xv, 184

Magnes, Judah Leon (1877-1948), xiv, 130,

147, 151, 168, 170, 171, 188, 199

Maimonides, Moshe ben Maimon (Rambam)

(1138-1204), 119, 120

Mainz, Emma (1868-1928), 6, 204

Mainz, Leo (1863-1920), 6

Mandelbrojt, Szolem (1899-1983), 139

Mann, Katia, nee Pringsheim (1883-1980), 62

Mann, Thomas (1875-1955), 62, 63, 198

Markhauser, Wolfgang (1830-1910), 41

Mayer, Leo Arie (1896-1959), 151

Mazar, Benjamin (1906-1995), 172, 173, 202

McNair, Arnold (1885-1975), 183

Meinel,WilhelmKarl Ritter von (1865-1927), 34

Meir, Jacob (1857-1939), 44, 94, 121, 159, 162

Meitner, Lise (1878-1968), 96

Meltzer, Yehuda (born 1940), 184

Mendelson, Elliott (born 1931), 126

Mendelssohn, Abraham (1776-1835), 75

Mendelssohn Bartholdy, Felix (1809-1847), 75

Mendelssohn, Moses (1729-1786), 4, 75, 87

Menger, Karl (1902-1985), 127

Merzbach, Julius (Rabbi) (1900-1980), 127

Merzbacher, Abraham (1812-1885), 23

Merzbacher, Eugen (1845-1903), 23

Merzbacher, Gottfried (1843-1926), 23

Meyer, Max (1856-1919), 25

Meyerhof, Max (1874-1945), 151

Michael, Max (born 1887), 47

Michelson, Albert Abraham (1852-1931), 146

Miller, Oskar von (1855-1934), 47

Millikan, Robert Andrews (1868-1953), 91

Minkowski, Hermann (1864-1909), 64–66,

135, 136, 138

Minkowski, Oskar (1858-1931), 65

Moore, Eliakim Hastings (1862-1932), 99

Mostowski, Andrzej (1913-1975), xiii, 126

M€uhsam, Erich (1878-1934), 32

Munk, Ezra (Rabbi) (1868-1940), 23, 103

Munk, Leo (Rabbi Dr.) (1851-1917), 79, 84

Mussolini, Benito (1883-1945), 159

NNatorp, Paul (1854-1924), 85, 86

Nebenzahl, Yitzhak (Ernst) (1907-1992), 167

Neubauer, Hirsch, 204

Neuburger, Albert (1878-1958), 10, 11, 204

Neuburger, Isidor (Israel Arjeh) (1837-1905),

2, 10, 17, 34, 48, 204

Neuburger, Jeanne, nee Offenbacher (ca 1884-

1956), 10

Neuburger, Joel, 2, 204

Neuburger, Rosa Rosl Rosalie, nee Fraenkel

(1843-1927), 1–3, 5, 10, 34, 201, 204

Neufeld, Sigbert (1891-1971), 3

Neumann, Carl Gottfried (1832-1925), 81

Neumann, Ernst Richard (1875-1955), 81–83, 89

Neumann, Franz Ernst (1798-1895), 81

Neumann, Johann (John) von (1903-1957), 65,

125, 134, 142–145

Neumann, Max von, 142–143

Neumeyer, Alfred (1867-1944), 28, 29

Neurath, Otto (1882-1945), 32

Newton, Isaac (1642-ca 1727), 77

Nobel, Nehemia Anton (Rabbi) (1871-1922),

28, 84, 160

Noddack, Ida (1896-1978), 96

Noether, Emmy (1882-1935), 57, 79, 127, 132,

135

Noether, Max (1844-1921), 57

N€oldeke, Theodor (1836-1930), 93

Index of Names 231

OOertel, Max (1835-1897), 10

Oppenheimer, Franz (1864-1943), 162

Oppenheimer, Robert (1904-1967), 145

Ornstein, Leonard Salomon (1880-1941), 140,

167, 168

Orterer, Georg von (1849-1916), 25, 41

Ostrowski, Alexander (1893-1986), 88, 89

Otto, Rudolf (1869-1937), 32, 82, 96, 97, 101,

129, 134, 149–153, 217

PPassfield (Lord) Sidney James Webb

(1859-1947), 25

Patt, Carol Ann Prins (1940), 205

Paulsen, Friedrich (1846-1908), 72

Pechmann, Wilhelm Freiherr von (1859-1948),

25

Perles, Josef (Rabbi) (1835-1894), 23

Perron, Oskar (1880-1975), 60, 63, 77

Persitz, Shoshana, nee Zlatopolski (1893-1969),

10

Pick, Hermann (1879-1952), 159, 162

Planck, Max (1858-1947), 96, 97, 145

Plato (ca 427 BC-ca 347 BC), 42

P€ohner, Ernst (1870-1925), 32Poincare, Henri (1854-1912), 134

Polak, Leo (1880-1941, Sachsenhausen

concentration camp), 152

Polo, Marco (1254-1324), 191

Posen, Bob Jacob (1915-1944 Bergen-Belsen),

194, 205

Posen, Eli (1886-1945 Bergen-Belsen), 194, 205

Posen, Meta, nee Prins (1890-1945 Bergen-

Belsen), 115, 163, 193, 194, 205

Posen, Philip Rafael (1919-2004), 194, 205

Poznanski, Edward I. J. (1901-1974), 172, 173,

202

Prager, Joseph (1885-1983), 101

Prager, Lotte, nee Badt (1891-1957), 100, 101

Preminger, Eliezer (1920-2001), 189

Pringsheim, Alfred (1850-1941), 58, 60–63

Prins, Alfred (1888-1957), 205

Prins, Avraham (1864-1936), 205

Prins, Benjamin (1860-1934), 205

Prins, Gertrude Buttenwieser (1906-1987), 205

Prins, Geert Caleb (1925-1984), 205

Prins, Elisha Eliezer (1866-1951), 205

Prins Emma, nee Lehmann (1860-1944

Bergen-Belsen), 118, 193, 205

Prins, Estella (1893-1969), 196, 205

Prins, Eustace (1875-1936), 205

Prins, George (1889-1973), 116, 205

Prins, Henrietta Jacobson (1836-1886), 204, 205

Prins, Hugo (1886-1965), 167, 205

Prins, Liepman Philip Eliezer (1835-1915),

116, 196, 204, 205

Prins, Lotte (Charlotte) Abraham (1897-1975),

205

Prins, Martha (1889-1937), 205

Prins, Maurits (Moshe Meir) (1858-1932),

118, 205

Prins, Mietje Mehrla Schaap (1800-1886), 205

Prins, Oscar (1884-1914), 205

Prins, Rafael Yehuda Ludvig (1897-1976), 205

Prins, Raphael Philip Liepman (1802-1869),

205

Prins, Viva, nee Israel (1896-1920), 116, 205

Prins, Vivian (1920-1992), 197, 205

Prins, Warner Jacob (1901-1987), 205

RRabin, Israel (1882-1951), 155

Rabin, Michael Oser (born 1931), xviii, 127,

172, 173, 202

Rabinkow, Salman Baruch (ca 1884-1942), 21,

46, 90, 91

Rade, Martin (1857-1940), 150

Rashi ( ¼ Rabbi Shlomo Yitzhaki)

(1040-1105), 38, 80, 210, 211

Rathenau, Walther (1867-1922), 150

Remak, Robert (1888-1942 Auschwitz), 89

Remmert, V.R., 175

Richarz, Franz (1860-1920), 97, 109

Richter, Eugen (1838-1906), 7

Riehl, Alois (1844-1924), 85

Riemann, Bernhard (1826-1866), 137, 145

Robinson, Abraham (1918-1974), xviii, 46, 85,

127, 176

Rommel, Erwin Johannes Eugen (1891-1944),

194

R€ontgen, Wilhelm Conrad von (1845-1923),

43, 66–68, 96

Rosen, Pinchas (Felix Rosenbl€uth)(1887-1978), 92

Rosenberg, Alfred (1893-1946), 146

Rosenbl€uth, Isidor, 92Rosenhead, Louis (1906-1984), 165

Rosenheim, Jacob (1870-1965), 29, 162

Rosenthal, Arthur (1887-1959), 63

Rosenthal, Ferdinand (1838-1921), 99

Rosenzweig, Franz (1886-1929), 84, 157

232 Index of Names

Rosskothen, 146

Rotter, Leopold Eliezer (Rabbi)

(ca 1870-1925), 38, 46–48, 201

Rubinstein, Sergei L. (1889-1960), 86

Rudder, Bernard de (1894-1962), 107

R€uhl, Alfred (1882-1935), 111

Russell, Bertrand (1872-1970), xi, 125, 152

Rust, Bernhard (1883-1945), 135

SSalomon, Sophie Prins (1892-1971), 205

Sambursky, Samuel ((1900-1990), 176

Sasson ben Saleh (1750-1830), 119, 205

Sassoon, David (1792-1864), 120, 205

Sassoon, David ben, 205

Sassoon, David Solomon (1880-1942), 47,

118–121, 205, 218

Sassoon, Flora (Farha), nee Gaubbay

(1859-1936), 10, 118, 120, 121, 205

Sassoon, Farha Flora Hayim (1812-1887), 205

Sassoon, Mozelle (1884-1921), 120, 205

Sassoon, (Sir) Philip (1888-1939), 120

Sassoon, Selina, nee Prins (1883-1967), 47,

118–121, 205

Sassoon, Siegfried (1886-1967), 120

Sassoon, Solomon (Silman) (Rabbi)

(1915-1985), 118, 205

Sassoon, Suleiman Solomon (1841-1894), 205

Sassoon, Suleiman (Solomon) (1842-1894),

120, 205

Schaefer, Clemens (1878-1968), 84

Schiller, Friedrich von (1759-1805), 16, 41, 198

Schipper, Kristofer (1934), 205

Schlick, Moritz (1882-1936), 133

Schmidt, Erhard (1876-1959), 96, 101, 124, 143

Schmidt, Robert (1898-1964), 132

Schocken, Salman (1877-1959), 83, 159

Scholem, Gershom (1897-1982), 46, 84, 151

Scholz, Heinrich (1884-1956), 127, 134, 149,

152–154, 166

Scholz, Hermann (Privy Consistorial

Counciilor), 153

Schopenhauer, Arthur (1788-1860), 72

Schottky, Friedrich (1851-1935), 94, 96

Sch€ucking, Walter (1875-1935), 89, 90

Schur, Issai (1875-1941), 79, 95, 96

Schur, Regina Malka, nee Frumkin, 95

Schwarz, Hermann A. (1843-1921), 94, 96

Schwarzschild, Emanuel, 64

Schwarzschild, Karl (1873-1916), 64, 65

Seeckt, Hans von (1866-1936), 147

Seeliger, Hugo von (1849-1924), 64, 65

Shamir, Eliyahu (born 1934), xviii, 177

Shimon bar Yitzhak (ca 950-ca1020), 198

Sichel, Don, 25

Silberg, Moses (1900-1975), 155

Simons, Anneke (Ilse Lotte Ruth) Prins (1930),

205

Skolem, Thoralf (1887-1963), xi, 125

Sobernheim, Moritz (1872-1933), 154, 155

Sommerfeld, Arnold (1868-1951), 65, 91, 92,

146, 149

Sondermayer (teacher), 43

Sonnenfeld, Chaim (Rabbi) (1849-1932), 162

Spektor, Yitzchak Elchanan (Rabbi)

(1817-1896), 12

Spiegel, M., 183

Spinoza, Baruch (1632-1677), 85, 146

Spranger, Eduard (1882-1963), 153

Stammler, Rudolf (1856-1938), 80

Stark, Johannes (1874-1957), 146

Stein, Shlomo, 186

Steinitz, Ernst (1871-1928), 77–79, 97, 99,

100, 129, 131, 132, 145, 154

Steinitz, Kurt (1873-1929), 78

Steinitz, Walter (1882-1963), 78

Steinitzer, Heinrich, 52

Stenzel, Julius (1883-1935), 166

Straus, Elias (1878-1933), 13, 16, 22, 29, 34,

93, 139, 145

Straus, Ellen Prins (1927-2002), 205

Straus, Rahel (1880-1963), 93

Straus, Samuel (1843-1904), 16

Strauss, Abraham (1865-1918), 84, 100

Strauss, Bertha, nee Badt (1885-1970), 100

Strauss, Bruno (1889-1969), 100

Strauss, Ernst (1922-1983), 145

Str€obel, Eduard (1860-1919), 42

Struck, Felix, 92

Struck, Hermann (1876-1944), 31, 109, 159,

160, 162, 195, 217

Study, Edward (1862-1930), 85, 96

Stumpf, Carl (1848-1892), 85

Sylvester, James Joseph (1814-1897), 65

TTietze, Heinrich (1880-1964), 60

Tirpitz, Alfred von (1849-1930), 19

Toeplitz, Emil (1852-1917), 83

Toeplitz, Julius (1825-1897), 83

Toeplitz, Otto (1881-1940), 83, 129, 154, 166

Toller, Ernst (1893-1939), 32

Tomaschek, Rudolf (1895-1966), 146

Torczyner, (Tur-Sinai) Harry (Naftali Herz)

(1886-1973), 109

Toren, Haim (1913-1988), 181, 184

Tornier, Erhard (1894-1982), 128, 129

Tramer, Hans, 147

Index of Names 233

Troeltsch, Ernst (1865-1923), 89

Troeltsch, Walter (1866-1933), 89, 97

Twersky, Isadore (1930-1997), 196

Tzipkin, Haya, 189

UUlam, Stanislaw Marcin (1909-1984), 142

VVahlen, Theodor (1869-1945), 141

Veblen, Oswald (1880-1960), 141, 145

Velikovsky, Immanuel (1895-1979), 61

Vitkon, Alfred (1910-1984), 189

Voss, Aurel (1845-1931), 58

Vries, de Simon Philip (Rabbi), (1870-1944

Bergen-Belsen), 194

WWadler, Arnold (1882-1951), 32

Wagner, Richard (1813-1883), 16, 60, 198

Weber, Max (1864-1920), 114

Weierstrass, Karl (1815-1897), 95

Weil, Nathan, 47

Weiler, Shimon, 108

Weiss, Paul (1901-2002), 165

Weizmann, Chaim (1874-1952), xiv, xv, 16,

25, 145, 147, 148, 158, 159, 161, 165,

167, 170, 171, 177

Weltsch, Robert (1891-1982), 159, 160

Wenger, Robert (1886-1922), 111

Wengeroff, Pauline (1833-1916), 87

Werner, Moses Cossmann (Rabbi)

(1854-1918), 20, 23, 43, 146

Wesle, Carl (1890-1950), 166

Weyl, Herman (1885-1955), 66, 135, 136, 145

Whitehead, Alfred North (1861-1947), 165

Wilhelm II (Kaiser-Emperor) (1859-1941), 7,

18, 19, 94, 101

Willstatter Richard Martin (1872-1942), 158

Wohlgemuth, Joseph (1867-1942), 92, 93

Wolff, Julius (1882-1945 Bergen-Belsen), 168

Wolfsberg, Oskae (Aviad) (1893-1957),

90, 190

Wolfsheimer (teacher of Jewish relgion), 9

Wolfskehl, Paul (1856-1906), 59

YYahuda, Abraham Schalom (1877-1951), 147,

167

Yellin, David (1864-1941), 162

ZZangwill, Israel (1864-1926), 21

Zelcer, M., 192

Zermelo, Ernst (1871-1953), xi, xii, 89,

124–126

Zola, Emile (1840-1902), 18

Zunz, Leopold (1794-1886), 21

Zweig, Arnold (1887-1968), 162

234 Index of Names


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