Badiou Being and Event 1988

8/9/2019 Badiou Being and Event 1988

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BENG AND EVET

Bdu

.


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n

Auhrs Prece x ss Prece xvruc

art Being: Multiple and Void. Plat/Cantor

he Oe he Mupe o cs y psse y 2 3

P 3 3 hery he Pre up: prxes

crc es 38

ecc e he cves wr 49 he Prper e e 52 he Mr 60

1 he se he her: he x

ees 602 The oetos de codton: aos of the

pwerse, ser repcee 62

3 he v, surcve sure e 66 Arse 70

art Being Excess, State of the Situain One/Multipe Wle/Parts or /?

7 e P xess 8 1

v


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BE IG AND EVENT

1 Be a s

2 he there the t excess

3 he v a te exess4 Oe ctas e icty a riit

e

8 he tate r Metastrctre the py

Be (raty sarty excrecece

9 he tate te strscia tati

10 pza

P Bein: Natre ad Innity HeiderGalile

8 1

84

8

89

9 3

1 04

1 1 2

1 1 te Pe r athee? 1 2 3

1 2 he Otca ce ta Mties a

the Nexistece tre 1 30

he cept raity rastve ses 1 30

2 tra tipes rias 1 323 he pay resetai ata tpes r

rias

4 Utate atr eeet e at

A ria s te er that wch it is

the ae

ate es t exis

1 3 Iity: te te e e the Othe

14 he Otca es here s se ty

ara tipes

n en ssae2 cess a i

3 e sec exsteti sea

4 Ity ay ee

he e sec pace

1 ee Th atee y evsie2 w ca a i ty e a

3 e et a te iti

4 he araa atty

Dct

1 34

1 38

1 39

1 40

42

1 0

14

1

1

1 9

1 1 1

4

1 7

1 9


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CONENTS

art V The vent Histo n Utra-oe

1 vet tes strc utis 1 73

he thee the vet 1 78

1 8 Bes Phti the et 1 84

he t sce strcty

stty 84

2 he x ut 1 8

3 he x ut s a ett

tess ty 87

4 Nture stry 1 87 he evet es t thtwhchste

uei 1 89

9 Mr 1 9

art The ven: nterventon an Fielity PasalChoie; Hlerli/Detio

20 he Iteret: Ie chce a e r theevet, c the tw, tepr ut 20

2 Psc 2 1 2

22 he Frutpe Itere: s there

e hce? 2 2 3 3 Fety et 2 324 Deuct s Opertr tc Fety 240

1 he r ccept euct 2422 es hypthess 2443 es v the sur 2474 rpe etert eucte ety 2 2

er 2

art Qantity an Knowlege The Disernible(or Constrtible) Leibniz/el

he ept Qutty a the Ipse Ot 21 he ttatve cprs te sets 272 atur uttte crrete utpe :

arty 293 he pre te rs 272


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BE ING AND EVET

4 e se u s uve rer

h he su e 2 7 3

Fs ex s here eesr sce e es , r he

seuece ephs 2 7

6 Se ex rs here w

esure r excess? 277

7 pee errcy he se su

s ere 279

27 Oc Desy rie huh 2 8

28 srucs hu e Kwee Be 286

29 he F Be e Sveey

Le 29

I suc e cep csrue e 296

2 he hyphess csrucy 299

3 Asueess 302

4 he sue e he ee 304 he ez erve 30

6 he rz excess 307

7 Scry scess s 309

30 Lez 3

The Generi Indiseible and ruthThe Eent J Chen

3 1 he hu e Geerc Be uh 327

I wee revse 328

2 re 2

3 u vercy 3 3 1

4 he eerc prceue 335

he eerc s he epe uh 338

6 D ruh exs 339

32 Russeu 3443 3 he hee he scere P J e s

srey 35 5

Fue uscpee su 38

2 e cs e sese 32

3 rec suse r p) he se cs 36


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OENTS

4 scere or eerc set 37

4 Exstece o the Iscere: te power o

naes 372 aner o extence 372

2 tooca o de thiUre te nscern

exsts 3 7 3

3 The oaton o te scee 37

4 reeret o a ae an exteso y thescre 378

Te unaeta stato s a art o aygeer exteso, an te nscere 2 s aeet o any eec extes 3 8 1

xporato o the eerc extso 384

7 Itrnsc or stuton scery 38

P V Foing Tuh and the ubjet Bendaan

3 eory o the Sjec 39 1

I jecvzato nterveto operao oatu conecto 392

2 ance ro whch ay trth s woen s the

atter o the s ject 394

3 jec a trth: scery a

nonato 39

4 eracty a truth ro the stapont o teath procre orcn 400

Sje ctve procto ecson a

ecae scaton pcpe o

exstets 4036 fo e nsee to e ecae 40

e technue o oc 4 1 2

2 enerc exteso o as coptestato s aso ts uacoete 4 1

3 Status o verca statets wtn a erc

etesn S( th ueca 4 1 74 Erracy o excess ( ) 420

sent a ateace o tnc

antt 42 3

ix


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BE ING AND EEN

Eany o exess ( 42 7 he inisern o e uneae 42

37 Desaes/Laan 43

AppeiesI Prpe o ia or ornas 44 12 A eao or a on is soey a pr

ipe 4433 eerogeey he ain s: rega n

siguar 448

4 Evey orina s osrie 43 O asoeness Priive sigs o ogi an reuene o he

egh o oras 4 5

7 og o equa naes o e oina ra 2

8 Evey geer eesion o a qaoee

son is ise qa oee 7 Copeion o e eonsraon o I I iin a geer exeson 7

0 Aeng o a aa o S n a geeeenso 73

I I Neessr oniio o a arina o e

asene n a gee eeson 7

12 Canaiy o he aias o oos 77

Noes 8 1


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Atr rac

oon i wi ave een twenty ears ne I puie this oo in Frne

t that oent I was uite aware o having ritte a geat oo o

osphy et tht I a atay aieve wht I ha set out to o No

tot pie I tough that ha insrie m nae in te hisory oosphy an in partiuar i te history o tse posopia syste

ih re the suet o inerpetatios an oenta ies thoughout te

enturies.

ha ao twenty yeas aer the oo is t o e pubise in Engish

ater having een puise in orguese Itain an Spnish a us

beore it is puishe in German is ertaiy no a proo o imotaiy

ut even so it is a pro o osisteny an resistane ar ore so an i ha een suet o ieiate trana tionwhih a aways e a ere

ee ashion

at a he time o its piaton ths o i not en tse timeiate preension. We were a the en o the eigties in u

neeua regresson. ha s asonbe was o phosopy is

use as poa posoy nywhee yo ue soeone ws ee

ing huan ights te espe or he oter a te return o ant.

Ingnant pests were ae aout tottarianis an a nite ront

as asee against raia Evi. A in o ay reationary phiosophy

sinuate ite everywere a opanion to the issuion o reau

rat sia is n e US he reane epanion o te o nane

are a e aos goa paysis o poia tinng o eaniptio

xi


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NG AN N

e stto ws ty qte proxc O oe , ot

pc opo oe a eocrac ts etrey corrpt represettve

eector o reeo rece t te reeo to tre coe ese costtte e trct vesty o or epoc ht s

ts e etee e are a paraetarswt a 'cp

topraetarsctoe s te oy posse octre, o

worwe scae . O te oter a , oe te wespre presece o

reavs Decartos were e to te eec tt ctre were o

te se ve, tt cotes eerte ves , t eer proc

to o te ary was at, tt a sea pctces were ors o ove,etc. sort, te cotext coe te voet ots o ercate

eocry wt toroo sceptcs c rece te eect o

trt to prtcr aropooc operatos Coseety, posopy

was ree to e eer a aoros tcto o te ves

ccter o emocrtc vaes or a s sopstry ett te

rt to ctr ferece ast ay versast preteso o te prt

o tts

y oo, owever y eas o a et eostratve apprts,ae o rtos tat wet etre aast te ow o ts orry

posopy

1 . Statos re ot ore, er e, pre eret

pctes. Coseety t s potes to serc ost er

eces or ayt tat t pa a oatve roe trs exst,

te re cert neret o eeces Cra evs

caot o eyo te trv stateet tt eret statos exstt oes ot te s aytn ot wat, ao e erees,

eaey atters t sects .2 e strctre o statos oes ot n tse ever y trts B y

coeqece otn oratve c e raw ro te spe

reas exaato o te eco o ts. partr, the

vctory o te ret ecooy over pe ecooes, te

proresso o paretars (hc act s qte or aoten ceve y en an rtca es) o no osttearens vor o oe r te oter A rh s sey nsey ptr wh he orer wc srs neer a a eet o

tat orer ave ae ts type o rre c opes p rhs

te evet Athetc posop es, ot strctr acts(cra t, costtto etc), t qey at taes


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AUTHORS PREAE

ce wt res te or o srcy cce eer

ece

3 sject s t oter t a ctve ety to te evet o trts es tt sject s a tt o trt posopce te oto o tt t te we te cosess w

tt y eeet o ts type w rcac. t oy ots oto, t csery ere t e tt o trt ot oy te potc t wor r te ecpto o

ty ts etrety He se s so te rtstcretr, te

scetst wo ope p ew teoretc e, or te over wose

wor s ecte

4 e e o tt , prov tse exceto to y precsttte pecte o the stao n w tt trt s eoye

to e ce eerc. ote wors, to t s stte awor, trt oes ot reta yt expesse ro t

stto A tt ccers eveyoe sc t s a tpcty

tt o prtcr precte cn rcscre e te wor o a

trt s ts t o eerc ocere to e S ject ( ot spe v ) s to e c ctve eo o

sc procere

ttepte to re or tese teses te toeter coeret

er: ts ch ve s t s ore, pce rter sopstcte tet c pps at ter servce o t te ty pre

tpes too toos o tor set teor. o t te eerccracer o trts tre to Ge Coes proo t owt a 'pr o a te s A sporte ts terveto otetc ors wt rca tess sr e, q e,

ot oter ta pre tpc t t s ette to sy tat otoo,

te scece o e q e s ot ter t tetcs tses ts os pe e prx posto t s e

ow tt or eces we e ve rtc opposto etweeoAerc posoy, wc ppsey rtonast, se te

r yss o e tetze oc cotetosopy, ppoey te ore o rrtos, se o

terry poetc sese o express Qte recety So tot tosse to sow tt 'cote rereces to cece, sc s tose o

c, Deeze, or eve ne, were ot ore t teepostres

x i i


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xv

AUTOR'S RE ACE

Hweve if use mateatics ad accord a fdamental roe as a

uber o Ameca atoalsts o aso us to te same exent te

resorces the poem as a mber of y cotnetal coeague do.n the end it ture out that e to my avig kept compny wth

iterature the represetatves of aaytc plsoph incdng those n

Frace atempted to dengrte my se of matematca forais. ow

ever due to that ver use te pure cotneals foud me opaque and

expected a terary trasaon of te maee

et tere s o dfferece between wat I ave one n wat such

pilsophers as Plato Descates Leinz or egel hve dne a dred

ties over sce he vey orgins of our dscipl: reorgaizing a thoroghif t creatve knowledge of atematcs by meas of ll te imagg

powers o anguage. To kow ow to ae toght pass trugh

deostrtons as throg plasog an ths to steep an ureceeted

thnig dsparate sprgs.

Fr wt I ant o epase ere s a I presen ong matematcs whic has ot been stased too some care o reproduce te demonstratos rer that t ot be toght tha I glossed frm

a stanc In the sam ner y recurse o the poets s basd on an

itenabe frequentt f te wrngs

Tus oe caot corner e n sme spposed gnorace neter the

mater o e foral cplextes I reque r Cator to Goeedick

or te atter of nvave wting fro alarm to Beckett

Bt t s re at ese sages c brea wth e hrrc acadec

destny of specazaton ewng te te to absote oeng wtut

wch plosopy s ot cod que easy ave bee srsg ithose tmes of recto ad ntelectu eess

Peraps oday we are eterng to ne ties. a case ts s oe ofte posse senes of te caton o y bo gs.

Ts pubcato owes eerytg t ust be sd t y prcipa

trasator Over elta and o is acae advsr Just Cles. t

s easy ater o tasr e apue at gve to Fen syaito the onc cocso of ter language. urthermore I tak thse

w have take te rs of dstrutg suc a singlar comodty

Cotnuu Boos.

ou e ts ubcatn o ar a obous fact te ullty of eopposo etween anytc ougt nd ctineta tgt. An

wld e ts oo o be ra apreted saed out a coteste as

mu by e neritors te formal d exermetal grade o the


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AUTHORS REAC

scieces o of he lw, s i i s by th esees of coempoy hiism

he eed ams o liey deoscio he wild milis of

de-iaed wol, d by tose wo ae elicisly isolaed by mooscosctions Filly, hey sy o emseles mig the ifc

effo o ead me h ma, i se h he ives is l of s a

oce

Ali Badio y 2005

x


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ranar rac

This rasion f L'tre et 'neent s one way of poogg hedyaic i ses i oo At he rce of ha dyaic we d wo

fdamea proposiios: he rs is ha aheaics is onogy d he

secod is h he new happens in big der e ae of e ev Thegoba coseeces of hese proposos re a expoaive dehronig f

phosoph he i flding f a maeais oogy ad he

devepe of ew hogh of praxis ad i is hese coseecs

which give Badio's phosophy s igr shae

Maea ngy

adio's ers he propoiio ahaics s ooogy is phio

sophica ide coniioned by n eve ad is cosee rh prcedre

i he doi of cience The even as aor's veion of se heory

ad e rh procedre is sbsee xioai by Zero ad

raee e r eem sd xaie here is codiioig

Badiou use ZFC axiomaizaion of e hory (erelo-Fraenkel wih hxio of hoi). Of coure, here re oer axoaiion of e heor

O Quine' bu th tipiy ily reve he ogeyof hiloophy oiining: a ondiionig ha a oly be orae b

eeloin anoer ooo o he o o oo e heory


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TRANSLATORS PRACE

wa des i ea fr pilspical ide b ciied' by a eve

i a eergees di?

diiig is a pilspcal pera aes a iks rprcedre wc cc se plspy Acdig Badi b e

exsece ad te ieliess f a ilspy eped p s ciclaibewee cre r pceres nd pilspy's cceps sc asse f r e sbec a appearig Bai des deiy ic

r prcee sld ccer ceprary pispysde is

eaplsb e de stplae ta ey ccr i f ais

ale a plitics scec ad ve He e assigs a eta as

pilsp i s k e comossbil f nepray prcedres i e fr dais a is i s csrc a ccepal space

wc s sc a ca acdae te iersiy f e varis r

prceres w beig eere ncsise i s a as kid f

clearig se fr rs. re s plspy s ne ad

cncepaly seie' cepay r cedres i e f dais

is is ccepa capre ic rasfs ese idepede r

prcedre i cdiis' f pilsy. Ben and ent Badiaes e Zerelraekel aiaiai f se ey as a rprcedre a fllws p e ar-eve'. e s asfrs i i

a cdii' f is pilspy. Te ilspica resl is se

ereical cdinig s wa Bad ers is eagy

Bdi's sepaai f pilspy fr is cdiis is esiged

preve wa e ers a saser. A dsase ccs in is eyes e

pilsp aps fse self wi e f is cii; a is we

psp es bece plcl sel scieic r re riallierare r ids ielf ard e peen f rasferece ve

bewee e aser ad e dsciple Tese aeps a fsi cnsie a

recrrig rbl a afcs pisy e bes w als

cncer pisy a plics a e icle Heidegger's iai

f e r f aial Sials pli s Recrsi Addess ad

Mas's eclara f e priacy f prlearia vewpi i

pilspy Oe sl als ei lgical psiivis's aeped fsi

bewee pilspy ad sciece eac f se disasers Bai wld

diagse e desire f pispy t prce e r f a da wc

is eerna it f e a ceai sres pese a's wr,

e ey ave eir srce a renuncaton is esire dea rii plspy. As Heir Mller sas fr seing ce se

ng as g F Badi e s aa a ccrs outde

xii


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TRNSLTOR'S REC

d deenenty f pispy Tis s y, n is es, piospy

isef is o geeic u pocedue, uh i hogh s

cdiioiiie ny feues f uh poedes Te coola ofis sicue is sc divsi is equed bewee philspy d is

sies'

We befoe Bdou cually elboed e ide he pacised philosophy

s ieseci is cnds. I hore du sujet, he developed lies ofgue fm e ikig of M, Malm, d Lcn. divid

eics e cspicusy bse fo s is d kig bck

Bdi's ely ok, e cn sy e poc codiio f Mois

Leiis poics doied is piso. n e bsis f s owpeseio of e develpmen f s g e dci Benand ent, s cey ossible o sek of hemicl u' i hisou. Oe sld e oeve is un is cel scbed, f

Bdio, w e eduig obleic f inig e elio bewee

chge d bei! ndeed my be ued i is e subseque

ednce f he sciec cdiio f se e saves Bdio's

w losopy fo e us i pics. Tee is e e beweeiking w is ske n c codio d egg

cdo d his is why Bdiou ses pospy mus ean obile by

cicuig beween puly of s codiios n is hisoy.

Te geel csequece of s deo posphy ems f

h is coiis and is soy s h ilosoh s deoned fom isclssicl posio of soveegy ve oe iscouses wthout beenslved u ocedes. T is, by miig efeece o

iosopy's ow sy and cceps Bd edes piospy fuly bu arally depede o e ccuece eves i heeogeneouss. e wods, posp n loge opee deemes i

objecs; e ccep of geec Uipe, fo expe s ly dee

ied i memcs s disceible se, e, houg Bdou'

2 As he notes in T Deo of Pilosopy' n A Badiou, Inte g

r an te Retn y (J Cemens Fea es rans);Loon: ninum 203 165-83 Se P. Hwar Ba: A Sbjec t t (Minneos Unvesi o

ineso Press 20 3 49 runo osees aso oens on is i o

emical urn in e Sbjec of e Diecic in P Hawar e

k Aga1 Aa Ba a1 te Ftre y Lono Coinum

204 15164

xx


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xx

N AN NT

wor coes hosohc cocet O corse hosohy s othery rece to he roe sve recece oes re choce

ovr whc trth rocres t es s th coos or ts cocetcosrcto s coscto s r cosset osohythus res ctve rtr e r

s the cto o osoys cts wc ows o o

he c rc o r he tss scoe o osohy-o

t occrrecs o toht otcs scec ove-whou

crcscr re ss t set roer ojecs oher

wors o es o rew r e secy o hosohy

wtot yg ts e tuth roceres co e sse to ye toy cot ther rtcry e rcte ths e

For exe thoh h roosto tetcs s tooy y

hv e soe o sectve ethyscs t s osectve recsyecs t sjes hosoy to uorseee ohsoc co

strts tose heret to xote se teoy ts eterto o

osse hoh o csstt tcty c ters t sjets

hsoh o t rea o thetcs two ors rs tht o easses-such s Rses rowch orce te xoto o

set eory tere s sh eco the or o rete tr evets the o tetcs tt y e ctosor te eooc tus et out Beng and vent

os rose rto etwe osohy ts otos hs

crty ve rs to cotrorsy ee o ess objece tt os

so ws ote y oc th t s tht ers ts w srctures the scvers the ose se e

re o oter scorss sor s os etotooy s tocontuc ooca conc wc a a o ucu of

toy th o es eg c t o

4 See Quei Mei laoux wo arge ha hee impicaio clue obole

cece i hi Nouveau e veme' i C Rmo e) Aa Bar m Pai Hara 2002) 2

aiou ime repo hi obecio i Dz La amr /r' Pai

achee 99 o he clere xpoon o eleze ciique oaalogica hogh ee he ir cper Image o hough' o hi rc

a R P Po ra) New York Col ubi Uivery Pre

995)


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TRANSAORS PRA

hinking means machig reaionships eee aleay existin eemensin he phiosophica omain o reaionships eeen eemens in he

mahemaica omainh I 2 a I a2hen Baio is innocen ascharge sine he nroces ne eleents no piosophy o he basis ofhe mahemaics, sch as he coeps of eena sie, generic mipe an

nara siaion No ony a he subetion of phiosophy o isondiions esults in new elatonship eng consrced eeen areayexisig phiosopca onces on he asis of exising maheaica

eemes a reaionships, sch as Baos arcaio o sjec and

rh n he asis of Coens peraion of forcig

n genera ojeions o a spposed phiosophia imperiaism presen i

coniioning may e me ih he rep ha in Bados conepio,

phiosophy eray engages n he consrcio of is own onceps, does s on he bass of s enconers ih he sigar eal o heteogeneosproceres sc as Caoria se heory an aarms poery ore

imporany, he acsaon of mperiasm s ise anaogica a spposes

a ransiiy eeen e phiosophca a he poia ream; ha s, i

presposes ha o oy are he same srcres presen in oh reams,b ere is an in mixing of hese srcres sch ha aions in one ream

may ae effecs n he oher Hee i irs ih isaser, aos fsing

phiosphy o poiics Baio, on he oher han, as menioe aoe, is

caref o mainain he ifferece eee he phiosophica an oiica

reams The spposiio of rasiy ca ony eai he aaemyo

piey respe or ner ifferees), inacie acism, an he posre of

he radca rofessor

f e se Baios on caegories o ea h proems aron he

phiosphy-onios reaioship, e an sa ha he aer is a

exame of he fragh reaioship eeen represenaion an presena

ion I oher ors, hen hilosophy ames for exampe, ermeo

raene se heor as oe of s odos, i paes isef he poso

f phosopica represeng se heor Therefore, acordg o he

schema of he exess of e poerse oer s se and Easons heorem, he

mer of ays one a phiosophicay represen a se heoreicareseaon imeasray exeeds he nmer of eemens i he origna

reseaio Bado erms s mmeasrae excess he passe of

beng an arges ha hog fae h his mpasse, has hsoria

sre sef o for grand oreaios hh ea aemp o rdge

r ad hs impasse e raseena he csris, he ener

an he praxiooga Badio hampions e forh orienaon, ch e

xxi


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x

TRASATORS PRA

laims is operaive Marx a reu's houh: he orieaion whh

saes ha here is o uique respose bu a praiy of resposes o he

gap beee represeaon ad preseio ad he oly plae hey areo be foud is n praie videy e an adopt his oreatio of

hoh in regar o he queion of he ap bewee Badio's sese-lae

meaoolgy ad se heory's seseless insrpios of mUlipliiy he

resul of or adopion s ha he oly resposes o hs quesi o be

fod are hose i he phiosophial praie of odiionig; a is i

othe phiosophia resoses o eves mahemais other philosophialas of omiai

Now ha we ave examed he aue of ondiioig we may re

o e saus of the proposiio mahemais oology' i s a omia

io a hilosoh ial idea; ha s is a eiio a priple a a hypoheisFirst alhough the prposo s philosophally opreensible give

he armes o being as osise ulipliy it is a decision i ha idoe requre a erai leap from her onlusiosoherwise wold

merely be a alulaed or deived esu7 Seod i is a rncile i ha i

opes up ew ealms for ough. eads to he osruo of ewoeps uh a a geer h poee' ad o e elaboraon of ew

relaoshps bewee lassal onlogal aeores sh as he Oe ad

he May fouaio ad alterity epreseat ad preseaio Third

i is a hyothesis b o in he sese ha t be esed by physiaexperime or ay apeal o exeriene s iself a expeiee of

hoh o be raversed util t reaks or s errped by oher sh

deisions

f ondioi wors as a enuer hen hlosphy s opeed u ootgent raformaon and eorkig. For milenia philosophy has

ateped o grou iself o One Eeal eessity su as e prie

6 oiqe DavdMeard arms relato this qestio o codtog,

tat Te jucio o the dcorse to the matheme is ethe themtize or

tascedetaly determe . . t is ths excess o the ractice o thoght oer

te rues that t dees whh ge it ts scope See he tre et existece asl pese ' Aai aiou Ram Aan Ba ner e mUte.

7 e ca trace leaes, albeit twted, om he thess beig s iosstetultiplcty bck to he wok o phlosophers sch as eieger (the task i to

ame bg wthou objecyg ), Derida there i s o ouideothetet)

d Deeuze the plae o mmecead all ths wito te mate

atics


20/524

RANSARS PRA

over or te diaectic f istry. ere t onscisy chooses to rond

tef on te shiftg sans of emerent rths.

Wt an ed to ntooica secation via one ast secative popoiion te abadonent f any singe ground of ecessty hlosopy t

bdicates v its own aisteria gesture of aing ts conditos a

bjeci tef both o ter neceties and thei mpossbiesc a

he sistece of ove wihi the mposibility of te sexal reaton

adio te n ear f hlsophy but Lear ho rtans a part a art

o which oe my retrn after vyan throgh te derse ream

pened p y new artistic politcal scenc an amorous rocedres

Phsop is ths dehroned a it wanders over he eath open to

he trms of evental eworin t at te ame time the en

ticato and dynasm f ts domains amonts to a seene afrma

on o the eedo and powe of thogt

f matemats s ontolog what nd of ontoloy s t

adio names Cantors inveto of set theoy as an eent nd t

ereloFreel axoatizton as conditiog trth procedre for i

iosphy he rest i materialt nonrepresntatonal bt schematic

togy an otogy tat does ot ca t reeset or exress being a

extrnal bstatiat or chos bt rther to nfod ben as it nscrbet beg as cosstent Ulticity subtanta eqaent to othg.

y ufodg ea tat Bad's readng te etensn of te set

theortical uivere is stic eqvalet to he atual wrtin o each o itoras does not preexst set theory sef.

The mateas of set thery ontoog s achored n te axo of

eparatio whch stae tha a et crrepndn to forlasa

tes wich corresnd to the mts of agagepresme te pror

sce o a ndne sea t xcss o agage Bg a

conste multlcty s ts bot n excess o he ower o aguage

o dene a derentae t ad t s be presupposd as uch order

or aguag to dfferetate ay tle watsoever8 Bado tudentes ths axo as nscrg a crtca delitato of te poers of

ae wich aows m to couer what he ees a the cnteporar

orm f deaism phlsop the riacy accrded to laage.

8 Bdio Inte gt 77

xx


21/524

xxi

N AN N

Se heory ooogy s onrepreeaoal ha oes o posi beig

ose isef b eains hi is iscripo oher ors i nfos

beig performavey i he eaboraio of is foras a her pespposios avoi posting beig asmch as here is o expcieiio of ses ermeoraene se theory s ober ach arges

axioaic sysems copor implci eiios hereby he eiio

arises as he goba resl of a eres of regae operaios hs oheic

reaio o beig ay aso be uersoo i a pragmaic sese eirce roe

Cosier ha effecs ha migh coceivaby ave pracca bearigs e

coceve e objec of or cocepion o have he or cocepo of

hese effecs s he hoe of our cocepo of he objec n hese erms is he effecs ha ses ave trough her aipaio by e axioms ahe rea s ha ses impoe o ch anipuaio ha eermie r

cocepio of ncosse pliciy a h of preseebeig hese

effecs a heir is ave o oer place ha he aos heorems an

formas o se heory an so hs s ho se eory ooogy may e sa o

be a oology of immanece reaii bei wthn is iscripios

oher ors ao asme he riga armeea ispesaio schha se eory i s maerias eersprees eig as pre

mipic ao saes: n aeaics beng hogh a c

sisecy are oe a he same hing

oher ay of dersaing hs manen foig of beng as

icosise mpcy s o characerze se heory onology as perfora

ive ha i enacts ha i speaks of Ceraily oe ay objec ha h isa acie phioophica faasy o o wha oe s akig of o esre a

perfec equivaece beee aco a iscose pracice a eory, obecome e phosopherkig oeve le Derra's exs hich

ecosrc oher exs as ey speak of ecosrcio e egel orca aceves asoe oee as e reeses s sorca

progress ay e Deleze who ses o moon s ow

omaic war machie as e extos e vres theref he perfomavy

of se eory is not selfreexve se heory oes o reec is owperformace s on efcacy i s so for wo reasos: rs aks o

9 R Blnh Latq (Pri Qrg/PU 955 3 S P c w k Or Cl n pa Wrtg f r

Bchlr ( w rk Dvr Pblic 955 S A. io Plni n Mhc Onology in R Br A.

Tno ( rn rta rtg (Lonon Conum 04


22/524

TRASATORS PRA

Gde's icpeeness ere w w e ca prve i

cnsisecyis efcacy ec set thery can reresen itse is

taiy becase that wd reqire a e f ses e ae a scha se is sricly nexise ere is Wle in se hery Se ery

y is s a erfraive ye nonspecar fdig bei

Agh se heory ng is nnrepesentina i i reai

beig adi de cai ha i is cheic a is ny des i

prese incsise iici b i als resens he strucure f ca sais Bdi disces ee basic srcres f sia

tiara histrica and erand eah is deeried by a

paricar reisip beween a se's eees ad is sses These

srces re said gicaly differenie gic sitais

sch as fress ad ains Ths is pecisey ere he absrci f se

ery gy riss beig ee nte a sc eshing is i

fc aive se ery i a y ber f es' f i can be creaed

by ssig xed vae its ariabes weer whe i ces

adis etangica esig e peraes i e ppsie

ireci seecing a gica siai nd he ryig deerine i seereica scea A cerai ehd s h reired ae

e psage r cree naysis f si a gica

escripti he exisence f sch a ehd higes n wheer ne ca

secre idenify eeasies egardless he ccrrece f a eve

snce i is sch sie hic differeniae isrca fr ar siais

ever Bai stipaes ha an evease ricly speaing i ny

evena inasc as a een ccrs is ocai Thi sggess ha i is

deciabe wheer a ie is even i he absece f a ee Theehd fr he gica aais f siains h ca fw a

ericiis de we s ccep ha i i be herisic ad prag

aic aner cex ave arged ha idies piics i

straia cies a generic r prcedre n he idigens pepeseseves cosie an evea sie i e sii f sralian pi

cs I raian gerea discre he idigens pepes are

aways sad be eher excesive r acig excessive i teir piicaeads heir drain n he pbic rse heir very acig i heir

recgi f e gvere's gd itenins' i heir cniy

See e gury Po he org Te Ey err97 i e) Mae Hape (Cmmat a gt, VoL7

xxv


23/524

xx

RANSAORS PRA

heth stndrds n her spr o enterprse nd nvdua responsibity

etc t is possibe to generaze tese structura caracteriscs of excess and

ac by agn tat inasmuc as the stte as no easre of te contentsof an event ste te site tsef wi ontinay appe to be raday

insufcient or in excess of ay reasonabe measure One cn thus adopt te

crieri for te exstence of n eventste tat t s te pace of

ncceptabe ecess or ac n the eyes of the stte

he tiate res of Badous structra differetato of satos is

tht e s abe to ncho his oncepton of prxisof generc trt

procedresin partiar tpes of stton. That is on tose poitica

scentic artstc nd interperson sittions which coport eventasitesmay gve rise to a sitatiotransforg trth procedre. Ths is one of

the sgncant stratec adantages set teor ontoogy possesses raher

thn ocating peranent soure o potenta chnge a genera and

onpresent ctegory (sc s Negr ad Hadt' itudes') t snges

o a particuar type of sttion s a potenta site of transformation. ny

theory of praxis reqres soe fo of stctr diferentiaton to anhor

the practca aayses ade by he sbects invoed hether tey bepoitica (the concrete anaysis of a conunctre) artistc (the nomnation

of he avntgarde) r psycoanaytic (iagnstic ctegories) or Badio

it i the strcture of histoica statons aone tht proides possibe

oction for an event nd tus for the unfoding of prxs Bt the

exstence of an eventsite is not enou to ensre the deveopment of

praxs; for that an eent st ocur.

Te new apen n being uer e ne f he even

Events happen n certan tmes and paces whih unke te mnor

cotngecies o everday e ruptre it the estashed order of thigs.

f tey are recognie as arbouring ipcatns or tt order ten a

trasforaton of the sitton in whic tey occur may e initted or

Bado, tere is no ground o tee evets they have no ssignabe case

no do they emerge fo ay other sitton ence their beonging to the

category of whtisotbengqabeg' Ts is ow Bdio paces te

abslute contngn o evets: the ost iportnt featre of is ewtheory o prxis wi regrd to the whered arxs ode and ts

deterns.


24/524

TRASL ATOR'S PRE ACE

Ths second fnamena proposton of Bao's phosop ke the

rs s not te rest o a posopca decon oeer there s

certan a posohca ontet for t an ts place n Bao's toghtte enconter between epsteoog pscoanass n Marxs that

ocrre n Los Athsser's work an n tat of he rcle d 'pistm% giegop at the coe ormale Suprere n te m 1 960's " Moreover the

concept of a rptre an n ensng srctra chnge o staton co

be compare to the oton of n epstemoogca bre rawn fro the

neage of Bahear Kor Cngem n Focalt Te probem of

fferetatng praxs fro te epetton of soca strcture can be dent

e as emergng from the enconter eteen strctrasm a Marxsm

Fna te probeatc of te emergence of a sbect separate fro the

ego an ts erests wthn a prxs s proper Lcana probematc the

sbect of esre eerges n resonse o the ct' of anatc terpretaton

hch so proes te easre of conscous strctue Yet n Be anent none o these scorses or ators are prvege the emergenceof the togt of the evet nste Bo trns to Malarm s aass

of the strctre of te eent s contoe te oem A as of c an t s n ts poe tat he ns te Maarma nme of the event tenqe nmer wc cnot e nother'

The ropoton te new appens n beng' terefoe oes not reslt

fom a phosopcl ecton bt rther fo a cononng of poso

p a as wt contonng ts restng sats s nal that of a

phosophca ea a otess a prncple an a ecson The conse

ences of enng ts potess re as cear s te re nesrabe

ne co en for examle b argng tat Bado's posophere presents sopstcate tke on the omanc cocepton of

oerns wth ts aantgare eroes n ts rupres of the status 4

he fnamenta posto unerng sch n argment s tht nae n

ccesstes tere s otng e ner the sn Bt rater tn repeatng

1 3 Te esnse f te n aer anaye

14 B sef s ell e f te s f rntcs; te nt f n st esets te j se f sc t td ee s

Pls n Mtetcs In n te En nc n

B n eetca tng, 21 -3 8 e s gs eltn fe frges ntcs c en neen Bd t cn

e fnd Jsn lees e Rantc ntea e

nttn Aeec N (n: Ase 203.

x


25/524

TRANSATORS PRA

he ma ep f mede ve d dems

e he e f speave efsm d s dem f bse

begg Wha he pese he y s deed dy f he ongsow rocss of sementaon may fl e ee f ee

p m ths ee dffeee he gb seqees f

phsphy f e Eesses ps s be med mysef hd ese

seqees be hee a y y f deses f psphy:

shas spea phlspy as csa eapy ad ly

phsphy s fsh hlphy f use des ee gus yss

edge des pe ffe d mdfy he sbe ad eseqe a e h s e ed b e f hese

eqemes vy detemes s esy f phsphy edes sh

va deema spea epy fashn es

eve ge f etay fm s pce b ls de e

deh hee s f me m be fd ds ep f

psphy embaces ea aey bsess d ese he

m h fels s beee he hsy f phsphy heyf he sje h ad apeang d empay h pedes

teo of raxs

a's hey f pa s mely M f emy a phls

phy ves se e a he pbema f pas pesely bese

su phlsph aempts aly delm psm ad def hse

aes th epe he d le egs a e h fDed's a e ye f fh e-L Ns de f g

f e g f my d Fuls e ep f he sefty o ubjc. cc of Bdou cocto tt

mages deep ractcal mdel pas s s e leadydefy emples f as a te d e fdael

se f he y' f d's he f ps s hs lg

e he sgs f psby ad ey: hee may be ee se a st a eve may hpe ha se smee may eveea ame ha eve he may dety ea f dely see fees may deve ad ly glbal leve hese enqes may begee e as udesad e py f ds cep s

he es f hs sb f ps m ay fm f he Oes

epeg he fudme gese f hs lgy: he Oe f hs

xxvii i


26/524

TRASATORS PRA

minsm h iai f as sgg); h n f shaty

th ia ga f a assss siy) an h n f a prvg an

nssay agn plaia as te sbj f hisy) h ss fs h sbains f h n a: s, a gnri h

s may ak any nmb f sa frs; sn, ha hy a

nni an nt psss a ingl ga r lim an na ha any

subj wha may ary h wk f h nis

What svs is ss f sbain is angag hi is anh

sgnian srngh f Bais nn f prais; bas i n a

rain s angagfingi i transmssbe between subjects h isha aws Ba, wn rmvng h rmins f th axs ai mbrang sm fm f yssm a pnans

aan in th n th pa f an ina ny s a gni

rh r a mnny praal affa whih tas m, b i

nf aring t prinipsan pa f iy, h nam gn

a y th nqswhh an b ranmi fr sbj ubj

an h ain h ry f n n n artila hs rasiby

f prinpl rm any sa fr h nstin f hrarh wihin haxis in Bai args ha qaity, j as nivraliy i an

immann am f r rrs

Ba hs vs rying frm is ml f praxi ha u

ih giv i gmais r an assmins ab shap ha

isy ra hstrisigh tak Hw, a bm

hih i f mntin in th mnay n Bais wr, a bm

ab if ain, an as: namh as a sb rravly assignssns h vn, and h a n jiv ria rminng wh

h prr sbj ivv in s gnri r n hr is n

iintin bwn bjivzain in a u pr an gia

ipan n fa Badu ha bi in n afga vn h

nfn o trh rdr a dg, ad ha ha th frm

a by rn f an n at a eental ste H rgnizs haany raa rrs ur whih inv a rain dhi

xam s azimb argu ta y nhr rgina frm annal si, nr a hy gnri, bng fuly rn by ing

5 Te most eelpe rm o ts objecon may be on n S Zize,

Psyoanalyss i Postarxs T ase o Aa Bao' n St tantc

Qate 97 (Srng 998 3561 wch s ewore n S . Ziz e

ck Sect (Lnon : Verso 1 999


27/524

x

EG A N T

knoede oeer Badi as says that here s no arantee that a

procedre is eneric and o e do not possess a srere ethod or

identiy een tal stes Conseqenty te only anser to hether aneen ta ste s at the orin o a procedure or not s lcal: tat s t depends

on a concrete anays o he ocaity the procere he distinction

eteen enerc trt procdre and ieooies s hus a ractial matter,to e deat t y those ocaly enae n the procedre here is no

oa arantee o te asnce ideooy.

erhaps the ost qestonae positin here s that o the phlosophers

in their astract ear o ideoy et's tke t or ranted that e the daiyin deooy ony at the lee o oeyi the perative avoj Ziek

ooin aca dentie as njoy Accrdn to Badio the ony

arantee o orkin aanst sch ieoloy is not to e ond n an

astract ear o arness t rather n the princpe enaement in

particuar praxes hich ma e enerc

A eneric trth procedure s ths praxs hch slly tansors

an sppemens a hitorc staton y eans o separain ot those o

its eeents ch are conecte to te nae o te eent rom those

hch are not Ts s n nte proces a it ha o asinae oera

nction or o sa the transrato o the staton acordin to

immanent ipeates derid ro the operator o elty and the acta

eniries

ch is the eslt Baou's seco dameta poposionthe

ne happens i ein uner the nae o the een'a renoaed theory

o praxs Bt Badio des not rest there or then he od rskreitrodcn a as etee the statc onoca ree o the

mUtple, an te dyaic practca ree trt prcedures Baou

os the to rees y setchin th ontolgical chem o a stuationtrasormn paxs nd s n the en is the ost astonishn con

seuence o Bao's dentcato o ateatcs s ontloy hanks to

te eenttn athetcs aul Chen's rk n the cntnum

hyothess it is posse to atheatcay rte a eneric or inscerneset n other rs ohe deeops a rors omalation hat s

aue, neteate an anyth-htsoeer s posse t spea o

s srt dscerbe tot dscg Sme reers ay aeen strck y Bao's ste or har an ast cateoresphlosohy

is ot a rth procedre tths take pace or oains a appeas

to a One are telocalu it s here that Bao ny paces a ea


28/524

TRANSATOR'S PRAE

dfclty wt categorzig: te eeric set iscrbes te eergece f te

w isofar a t s tricty categorabe

Badi is ts abl to jo s togt of beg to s togt of cocretecage va te ateatcal ccept of te geerc ltiple Ts s te

gad syteis a callge f Bado's pilospy ystalized te

tle of tis wrk beig and evet; te task s to tik beig and evet otte beig of te evet or te evet of beg Te cocepts Bado

eploy to tik ts syess of beig a eve are tose f a geeric

tiple' a forcg', ad e raws e rom te wok of a atea

tia, al oe owever, tese atematal cocepts te leadBado to a classcal ploopcal coept te sbject e reaso fr this

tr te aret s tat fo Bado te ly way to develop a der

d-sbstatalzed oreectve coept of te sbject is to restrc t to

tat of a sbect o praxs Coseqetly e ad' of bei ad vet

ally aes te space te sbject te sbject of te ork of cage

fraget of trt procedrete e wo folds e srctes of

bg ad ts ts the et to beg

Bads sbject f praxs s ot etca to a dval perso; svew, sbjects are csttted by works of art scetc teores politca

csos, a proofs of love espte tis, a sbject' s ot a abstract

oerator ay dvdal ay o par of s a sbject y ther pripled

atios sbseet to a ve

Te ad' o beg a evet s ts p o te sbjet: t's ope. Alai

Bado's psop certaly akes a cal po eot leat to der

stad se set teya te call s ade trog a forcefl afrato

o eveye's apacty for r e ca always as Cea says, cast oeself

ot of e's tsde, ad recoze a evet

Notes n th translaion

tis rasato ave tr to reta soe eces of the partclartes

o Bad's stax wtot losg idty Te reao bed ts cce s

tat, as Los Brl reark traslator of Badio's e/eue Badosstax s ot oet t oes se plosopcl work saly ts work

Ts e s dele n O. Fel An en n ee n . ls n nn' The Philosophy of Alan Badiou Polgraph 005

xxi


29/524

NG AN NT

sipy aots o esabsg hiecy of mpoace betwee e

es in a seece ece te ecess of dig some eqivae is

sya i ngish e synacic sce i paica is wo meoig Bado ofe sepaaes e sbjec of e senece fo he ai veb

o the obec of he veb b nsetig og sodinae phrases e cld

sa hese phases inept e sa' of e seece mc ie a

eve w fo specic tes

Bengs/existens, beng qua beng. ave anslaed ant as beig' obegs' ad ocasionay avoi cofsio e onogic sense of

beig as esens' L'tanentotat i edeed by beg-inoaly' hae asated 'tren tatqu 'tre as beig-qa-beig' athe ha asbeng as beig' sice te lae s a ie a Copicaos ise

occasioly sc as i Metato 20 wi fomaos sch as /'treonat asated as o-esebeig' ater a as -beig-beig'Te te 'tann tanqu tan is asate as beigs-qa-beigs' toavid cofsio begq-beng' Te ma pobems esde

pasages i Mediais 2 d 1 3 were Bao epois he disco

bewee tan ad r Fo exame Medio 1 he aly foms hee 'etantde/'un Tg he tem egs' is eaed fo tanogot e eie passage, fd yself blged o sae he le

as e beig-eisen-ofheoe'

Eventa se aslas te techica tem ste nmenti. The adjeiveevef s appopae e to s cooaions o acviy a bsyess

an so ave doped etr alad's eologsm asao of Badi's

thics)

Fidety aslaes te tecica em de which is aw fom hedoan f e o esgae all genec roedres n a sbect

coms i or heself to working o e oseqeces of e occece

of n evet in siaon f e asfao of a saon

Thht Te Frec sbsnte pese refes o e acty a roessof thiig wheeas og' geeally efes o a sigle dea or oio I

hae asaed ense w ogh' o kng' becase eihe hey'or acco o phlosoy' ae deqae oeove te eeggeea

ecoes of e em sold e eed

Th errancy of the voi trasles 'erac du d chse eacy erwadeg deming te ltte o roic ad em for a rech

stacte ology

xi i


30/524

TRASLATOS PREACE

Unpresentaon Bado uses te eogs mresetaton or chupresetalty, cootg a lac o maers or ress, s etely usut

ae, ece te eologs upresetato

Veracy/verdca. Baou eploys a dscto etwee e erquerdct ad e ra Vercty, erdcty d verdcal are eployed, asdstct ro ruth, despte ot eg curret usage.

What s presented/what presents itsef These sytagms re use to

taslate ce q se rsente Sce t ca e traslate th te actve adte passve voce, t sgests te mddle oceuavlale Elsh

whc possesses te adatage o avodg ay sggesto o a eeral

aet o the er.

anstor'S Acknowegemnts

I woul le to st th Ala Badou or rovdg me wt the

estmle oportty t traslate ts wr and or s patece. I am

also very grateul to reds, amly ad colleagues or ther coual

ecorgeet, eusm a sssace aso Barer, Bro Besa,

Ray Brsser, Crs, Va Lex a Bryoy Fetham, Peter Hallward, om

e Hoes, Sg ottadt, Alerto Tocao, a Be ustall. o people

deserve specl meto or ter atet to etal ad merale

sggestos whe readg the rats, ust Clemes ad saelle odoz.

Lstly, ta Barar Forsa rue prter the daly practce o

taslato.


31/524


32/524

2

BE IG AND EVENT

a languag ga Mar anouncs th nd o philosophy ad its raliza

tio in practic. Laca spas of antipiosopy' and rgats sculativ

totalizatin to t imagiar.n th othr and t disparity btw s statmnts is obvious

T paradigmaic position of scic, such as it organizs nglo Saon

thought (up to ad including its anarchistc dia) s idtid by

Hidgg as th ultiat ad iiistic ffct of th tapysical disposi

tio, wist Frd and Mar consrv its idas and acan isf rbuids

a asis for athms by using logic and topology. T ida of an

mancipation or of a salvati s proposd by ar and Lni i th gisof social rvolutio ut considd by Frud or Laca with pssimstic

scticis ad visagd b Hidggr in th rtroactiv aticipatio f a

rturn of t gods', wilst t ricans grsso mdo ma do with thcosnsus surroudig t procdurs of rprsntativ ocracy.

Tus, tr is a gra agrnt tat spculativ syss ar icon

ciabl and that th poc as assd in wich a doctri of th ot

begnonbengthought (if o allows that tis not sc armnis, has

bn th rigi of hat is calld phiosophy') can b proposd i th formof a coplt dscours T ti of thougt is op to a diffrnt rgm

of ndrstandig.

Thr s disagrt ovr owing whthr is opnigwhos

ssc is to clos th mtaphysical agaifsts itslf as a reoluto areturn or a crtque

My ow itrvntion in tis cojunctur consists in drawing a diagonal

through it: t trajcory of thought tat I attmpt hr passs throghthr sutrd points, on i ac of t thr placs dsignatd by th

abov stamts

log wt ggr, t w aaid ta piosopy as sc

can only rassignd on t basis of t otoogica qustio

log wit aaltic pilosopy it il b l tat t atatico

logical rvoltio of rgCantor sts nw orntations for

tougt.

Finally, it wi b agrd tat o onctual apparatus is adquat

ulss it is homognous wit th thoricopactica oritation of

th odr doctrin of t subjct itslf itral to practical pro

csss (cliical or potical).

Tis trajectory lads to so tangld priodizaios whos uicatio in y ys would b arbitrary, ncssitaig t uilatral coic of


33/524

TRODT O

e of e ree orenos over e oers We ve compe, eed

cofsed, epoc: e rres nd cones rom wc s wove

cno be cred der oe term. Tere s o revoon toy (or rer, r ' crtqe wold smrze e sote epor

ple wc ornzes or ste te folow mner

1 We re te coemporres of hrd eoch of scece, fter e Greekn e Gllen. e cesr wc pens ts trd epc s no (s w

te Greek n ventont of dmonstrtve mtemtcsnr s

(lke te Ge brek wc tezed e scourse of

yscs s splt tr wch e very nre of te bse of

ec roy reves tself s oes e crcer of e ecso

f o wc esbses

2 We re eql e coneporres of second epoch of e ocrne ofte ect t s n onger e fondg sbec, cenered d relexve,

wose teme rns from escrtes o eel wc rems eble n

rx n Frd (n fct n sser n rtre . Te contemprry ubec

s vo, cleved, -sbstntl nd rreeve. oreoer, oe cn oy

sppose s exstence n te cotex f prclr proceses wose coos re roros

3 Fy, e re contemporres f new deprture n te octrne ofr, ollow e dsslo o s reton o ornc conecon o

knowee s notcebe, fer e c, tt o ts dy erac, s clt, s reged wtot qrer owever strge m see, s qe

proprte to sy t tr s ne word n Erope (nd elsewere.

oreoer, ts tee of trt crosses te pts of edeger ( o ws te

rst to brc t rm owege, e mtemtcs (wo broe we obec t e ed f ls cenry, st s ey broke w

deqto , nd e moder eores of te subct ( wc dspce r

from s sbctve ronucn.

Te tl ess of y enterrseo te bss wc ts entnle

et o perodztns s rne y extrctn te sese of ecs te

llow t scence of eng q ben hs exste sce te Geekssc

s e sense nd stts of metc. owever, t s oly ody tt weve e mens to now ts. follos fro ts tess t osoy sno cetred on ontologwc exsts s serte d exct ds

cperer, cculte between ts ontlogy (s, emtcs, eodern teores o e sbec nd ts own story e cotemporr

cplex of te codons of plosopy ncldes vertng referre to n

y rs ree steets te story f Western tog postCtor


34/524

NG AND N

mathematis psyhoanayss otempoay at an poitis. iosophy

does not oinie it any o these oditios o does it ma ot the

totaity to hich tey beong. hat iosopy mst o is opose aonepa ameo in ih te ontempoay ompossibiit o these

onitions an be gaspe. hiosophy an ony do thisan ths is what

ees it om an odatioa ambition in ih it o ose itseby

desgnatig amongst its ow onditions as a snga dissve sitatio

ontoogy itse n the om o pe matemats. his is peisey what

deives phiosoy a oains it to the ae o tts.

he ategoies tat ths book epoys om the pe mtie to the

sbet onstitte te genea ode o a thogt ih is sh that it an

be ractsd aoss te entety o the ontemoa system o eeee.hese ategoies ae avaiabe o te sevie o sienti poedes jst as

the ae o tose o poits o at. hey attempt to ogaize a abstat

vision o the eiements o te epoh.

2

e (hiosopha) satement that matematis s ontoogyte sieneo being a beings the tae o ight w iminates te seative

see te see ih had esticted i my Thoe du sujet, bypespposing pey and sipy tat thee as some sbjetivization. The

ompatibity o tis tesis ith ontoogy peoied me bease the

ocea absote eaknesso te od axsm o diaetia matei

aism ha ain n its ostation o st s a compatibiit in the shape o

the geneaity o the as o te diaeti i is to sa the isomophy

betee te ialet o nate ad the iaeti o histoy. is (Hegea)

isoopy as o se sti-bn en one sti battes today ang

sie igogine a itin atomi pyss seahig o aectia o

ses ne is o me tan a svivo o a batte i nev seiousy

tok ae sav nde te bta injnctions o te Stainist stae. Nate

an its aetic ave notng to do wt a tat. Bt tat te poesssbjet be opatibe it wat is ooneabeo ononedo

being tee is a seios ity o yo one moeoe tat pointed otin e esto ose iety to aa by aqesAai ie in 1 6

at is y otoo?' iy maste esponed it an asio to

nobeg h was el jdge bt ie. aan ose obsession it

mathematis did noting bt go it time aso iniate that pe ogi


35/524

I TRODCT IO

was th scc of th ra\'. Yt th ra rais a catgor of th

sbjct.

grop ro for svra ars agst h pass of lgicvlong os xgs o th thos of G Tarski a

Lwkolwhot srpasig t fra of heore du sujet sav

i tchical sbtlt. Wtot otcig t a b caght i th grip of

a ogicst thsis wch hos that t csst of logoathatcal

statnts s foral to tir cmpt raicato of a fct of

ss an tat i a cas thr s o cas t ivstgat what ths

statnts accot for ots thr ow csstc. was tag t cosiratio that if o spposs tha thr is a frt of logicoathatica scors hn o caot cap th altrav of hik

ig of t thr as a objct' obtain b abstracto (pirics) or as a

spr-ssbl a (Patos) This s th sa ia whch o s

trapp b t vrsal rcgz Agloao sticio btw

orma' a pircal' scics. o of ths was cosstt with car

Lacaia octr accorig to whc th ra s th pass of fora

atio ha stak t rot

was nal ow to th cnc o bibographc a tchca rsarch th scrt/cotnos cop that cam to thk ta t wascssr to shit gro a forat a raica thsis cocrig

athatcs. Wha sm to to ostt t ssc of th faos

rob of h cot was tha it o toch po a bstaeitrisic to athatcal thoght whc th vr possblt hch

fs th latr's oai s sa. Aftr stng th appart araoxs ofrct nvstgatios of tis rlatio twn a tipl a h s o its

arts ca to th cocso tat th so ar i whc tligib

grs co b fo wt was f o rst accpt that t Mtip

fr athaics was ot a (fora) ccp traspart a ostrct

t a ra os ntra gp an iass wr po t

tor.

th arrv at th crtant tat t was cssar to post that

athatcs wrts that whch of big itsf s proocabl i th

f a pr thor of th tpl. Th t hisor of ratioal thoght

appar to to b llmina oc o ass t hothss that

athatcs far ro big a ga withot objct raws th xctioa

svrit of its aw fro big b to spt t scors of ntolog

a rvrsa f th ata sto it was o logr a mattr of askg:


36/524

6

BE IG AND EVEN

ow pre mahetc pble? a repog ha o a trae

deta ect ahe: pre athematcs beg the scece of beg ow

a ubje posbe?

3

The procte coecy te tght te fral cao e

erely ue to logcal fraework I otexactlya for or a

epsteme or a mehd t a sular cece Ths a re t obeg od) te po at wc maeac deache elf from pre

logc he po hc estable sorcy sccesve mpases t

petacar plts a t foeerecogzed uty th repect for theploper e decse brak whch athematc bly ro

oces t w eeces Caor' creato t s ere aoe tha t

ally decaed despte e prdgo arety f maemacal

oecs ad rcte they ca all be deged a pre mlplce

b a rglaed aer o he bas of he vodet aloe hequesto of te exact ae f he rao of maheacs beg

theefore erely ccetraedfor he epch wch we d

orelve e axmatc dcso wch aore et heory

Tat t aoatc ye a bee elf crss eer ce Cohe

eablshed tat the ermeloraek ye cod t determe the

ye of ltplcy o e ctum oly ered harpe y coc

o ha oehg crcal yet cmpletely tced was at ake there

cocerg te powe of lagage w regard to hat cld be mahemacally expred o beg qua beg I fond t rc ta hor dusuet I had sed the seteoretal' ogeety of ahematcal lagage a a mere pradg f te cegore of materal I saw

moreover sme qt welcoe coseuece of the asero mahe

acs logy'

r aserto ree fro he veerae seach f the fodato

of aheac ce te podec are f th dcpe s wagereddrecly by beg te whc t proouce

Scod t spos of the slarly ace proble f the atre of

aematca oects deal bect Platsm? Obect rawn by absac

o from seble sace Artole)? ate dea Dcare? Objec

cotrcte pre tto Kat? I a e operatoal tto

ruwer? Coveto of wrg forma? Crco rae


37/524

TRODUCTIO

to pure lo tautloes (los f e aren preset er olds

p te tru s a thee ae o aecal obects. Strc spea

atematcs pesets oh to constt for all at an eptyae becase not av an o prese besdes preseato

tselfwc s to sa te upead tereb never adop te form

f te obet suc s certanl a condto o al dscorse on ben quae

Trd ters o te acatn' o atmats to e socale

atura sceces (tose seces wc perdcal nspre an enur nt

e foundao o ter success or Desartes and ewton Gd was

equrd fo Kant te rascenal suec fter whc te esto

as n loner serousl practsed save by Bacelard a son wc

eaed consttuve ad by te Aercan partsans te stratcato

anaes e arcato s edate event f atmacs s te

scenc an case o evern at s soa as t s Pscs tsefters to resentaton. t rres more or rather sometn else but s

ompatbl w matemas s a ater of prncple

atra ts s o ne to plosopersta tere must be a lewen t estnce of aeacs ad e questo o ben. Te

aradat fncon of mateatcs rus ro Plato (dobtless from

Parmendes to ant w w ts sae reaced boh ts est po

d va te Copercan revluto a ts consequences eusted

at salutes n t rt of aeatcs dexed to Thales a savator

vent or all uat (ts was also Spnoa's opno owver s te

losue of all access to bentsef wc ouds e (ua l toma unersat of ateacs ro at pot owads w th

xcepton o Husserwo s reat class a ttle lateoer (ts

sa post-Katan posop as o loer aunted b a arad

xcept ta of stor a part fro so eraled bu represse

cepons avals an Lat t abaoe aeacs noaxon lnustc sosr. Ts as te case n rance t ust e sa unl

acan

Te reas or ts s tat losoperswo n at e alone seut te eld n wc e uston of ben es seseave laced

ateacs ever sce Pat s a ode o certant or as a eape o

dentt te subseuenl orr about e seal posto of te bectrtculte b ts certde r b se eale Hee a rlato bo

en nd b, b so a aac orersclla s evaluaton te later btwee e ne o

7


38/524

B N AN N

te ratoa paradgm ad a dstrust wc te sgicace of ts

objects' ere eld at vaue coul umbers ad gures ave

categores of matematcal objectivty' for twetytree cetrescomparso to ature the Good od or Man? Wa value save tat the

maner of tg' wc tese meagre objects soe wt deo

stratve asurace appeare to ope te way to ess recaous certtues

cocerg te terwse gorous ettes of secato

A bes f oe maages to carfy wa Arstotle says of te matter Pato

imaged matematcal arteture of beg a transceeta fuctio

of eal bes He also rcomposed cosos o te bass of reguar

poygos tis muc may be ead te maeu. But ths eterpre wcbs beg as otaty te fatasy of te Wor to a gve state f

matematcs ca oy geeate pershabe mages artes pyscs met

te ame ed

e tess ta I spport does ot ay way ecare tat beg s

matematcal wc to sa comos of mahemacal objectvtes It s

o a thess about te wor but bout dscorse afrms tat mate

matcs trougout e etrety f ts strcal becomg proouesw s xpresble of beng qua bg Far from reducg tself to

tautologe beg s tat wc s) or to mysteres a perpetuay

postpoed approxmato f a Pesec otoogy s a rc omex

usabe scece submtted o te dfcut cstrait of a deldeuctve ety this cae A suc merey tryng to organize e

discourse of wat subtracts tself fro a resetato oe faces a

ite ad rgorous task

e posopca racour orignates quely te fowg f i is

correct tat te osoper ave formlated the qesto of beg te

s esees b e amacas o ave come u wt haswer to at qeston A at w kow, ad ca ever kow of beg qua

beg s st ou trog te mediato of a teory of the pure utpe

b te stoical discursivty of matematcs

ussell sawtot beevg t of course o e trut as ever

beed save te gor ad use cetay wast suctatmatemaics is a discorse whc oe oes ot kow wat oe s talg

abo o weter wat oe s sayig s true Matematcs s rater e

sodscose c ows absot a s akng b beng assc desite te fac that tere is o eed for ts kowege to be

reected a tramatematical sese because beg o a objec

ad or oes t geeate objects Matematc s aso te soe dscourse


39/524

TROUTO

d his is e i hih e hs mpee ee d

iei f he h f h e sy e pi h his h is iqe

ismh s i is e y e eve hve ee enneed hih is ysissie

4

The hesis he deiy f heis d gy is diseee

h mhemiis d hisphesCempy hisphi y' is eiey dmined y he

me eiee eidegge see m hih mhemis is

disingishe sies he d eel mephysis ismch s i

ls he ae i he ey ss f h fein i hih mehysis

sie P hs fde he nee s jes: he ei

ei he piipa si f mde nihiis d he eiy f h

is he ehi mipesene f seehe sciee hi isls he

ei he fein is heee syg mh sy h mhemaishih my

lede e meis leyis n f eidee ph hi

pes he iil ei n he psie e f en

s dissped pesee N mhemis is he idess isef he

ge e f he Nhn h ese hgh y edge is

eve sympmi h he Pn isii f mephysis is

pie y e isi f mahemais s pdim As sh

eidegge i my e mies m e se h memis is e

he e ' hh mplished eee Pmees P

e his h hih s i psii f eig d veiig

ee xe d he pie f fgen is insmile

h f f h dThe dee ih edegge l heefe e simlesly n

ly e esee f mhems hen nseqeny h

siged by he sie f phisphy ein giy ee he deec e peed he flig y

1 . eidege si emis esved, eve i he dcie f he ih

l nd he -vei h side f y p e he

essee f ephysis h is he ge f beig s ende d gif

s pee d ig d h g f gy s he ffi f

jey pxmiy ill ll is ype f ly p nl


40/524

1

E N AN EEN

haued by e disspao of Presece and he oss of he ori We ko

wha oe e oes ay fro amedes o Re Car passn y

Hder ad Tak i e Hideerean xeess I aemped o olo his foosesw enrey dfer sakes hre d sujet we Icovked eschus ad Soocles Malarm Hder ad Ribaud o

he iricacy of he alyss

o o e seduion o pec promI ad arey escapediI wi ppse he rdca subacv dmeo o be frecosed

o oy fom reeseao bu fom a peseaon I wl say a be

qua be does no ay anne e sef e apoced bu soeyaows isef o be suured s vod o e bruai f a deducvecosse ou aua ein oes o diffuse isef ryhm and

imae i does no ein over eapor s e u sovee of iferece

Fo oec oooy wchike Hsornds se n an mpasse o a

excess of resece one hch e coces sef s ecessay o

subsue maemaicl oooy wc dsuaca o ad upe

seo ae reaized rou wri Whaever he sbjecve prce may

be hosop mus desae nsofa as s a aer of be qua behe eeaoy o e discourse n beia e reeco o is possie

essecein Cao Gde and Coe aer an Hler Trak and

Cean

3 Thee is we ad ruy a Gree hscy o he bi of posophy

ad whou doub a hisorcy can be assed o e quesio of

be Hoever is no i e ema d he poeic frame ha e

orn ay be epreed Siar seences roouced o bei and

obei i he eso o he poe ca be deied js as eas i

di Pesa or Cha I phiosophch is e disosiio fo desa

ng exac ere he ess f ng a of whens are asakas bor Geece s becaus is ere ha ooo esab

shed w e s deducte eics e ecessary fo of sdscourse I s he posohco-aeaic nexusebe eve i

Paedes' pom n s usae of apaoic easonwhch akes

Gece he oria s o piosoy ad hic dees u a hecassc' doan f is objecs

base afr ha aeacs ccompses onloy sees

phosophrs beause hs ess absoey schaes hem o wha

emed e cee f ravy of her scouse he umae efue of

ei dey Ineed ahemacs oda has o eed of osoy and

hus oe ca say a he dscourse o be coiues a by isef'


41/524

TRODUTO

oreover s characterstc tat th toa' s eterme te creato

of set theor of aheatze ogc and ten the heory of categories

and of topoi Tese efforts th reexve and tra-atheatca sfcent asse aematcs o ts engthogh st qte ndyto

eceforth rode for its avnc

e anger s th f hosopers are tte chaged to earn tht

otoogy hs ad te form o a separate iscipne sce te Greeks the

mathematcans ae o a overjoye. I ave met ith septicism and

need it amse dstrst o te art of atmatans fced t ths

ype of reeaon cocernng ter discpne his s ot ffroting not

east ecas I pa on esabng n ts very ook e fog tat t

s of te essence of toogy to be crred ot the reexie forecose

of its deny Fo smeone o actay nows ha t s fro beng qa

eng that he trt of matemats proceeds ong matematsanespecay vete mathemacsemans tat ths oee e at no

pot repreeted Is represett pacng beg n e geera ostion

of an ojec od edate corpt te neessity for a otoogc

operaon of de-ojectcao Hece of corse the tttde of tose te

Amercans a woring athaticias: tey aays n genera cosderons aot ter scipne van a obsoee Tey oy trst homever

ork han n ha it te grdng a t the atest athematc

roem. Bt hs rstc s the ractcoontoogc sbectvytsefs n prnce nproctv e coes to ay rgoros escri

ton of the generic essence f the opertios t is entrey eote o

partar oaos.

Ericy he atetcn ays sspes te phosoer of otnog eog ao ateas to ae earne te rg to spea

o-oe s ore rereeate f ts state d n Frane hn

ean Dieonn Here s a atatc mosy no for hsecyopaec asery of aeacs ad for s cocern to cotinay

foregond te ost rdca rekings of crent esearh Moreover

Jean De s a partcry e-nformed soran of athematcs.

er debate ocernig the phosopy of h dcpne reqes hi.

oeer e tess e coa aaces (a s eey correct n

e fcts s tha f the terrb bcarss of osper i eato o

1 1


42/524

2

NG AN N

iving maemaics a in rm which e iners ha wha ey d have

say ab i is devd cnerary reevance e eseciay has i in

r se (lie e) wse ineres lies rinciay i lgic and se heryFr im hese are ised heries whc can e rened he nh degreewih gaig ay re ineres r cseence ha ha be ad in

jgging wh e rbems eemenary gemery or devg nese

caclains wih mrces ( se absrd caclais wi mrices' e

remars)

en Ded herere cncdes ne se rescri tha ne

ms mase e acive mdern ahemaca crs e assres a his

as is ssibe becse ber Laman bere beig assassinaed by e

Nazs y aained ths masery enetraed rher n e

are eadig matemaca esearch an a gd mber his

atemaicancnerares

Yet e sri aradx i Diedn's rase aman is a i is

absey cear wheher e arves Lam's hlosohal saemens ay mre an hse he ignran lsers a e

dences The esn r is s a Lamans saemens are a grearadiaism Laman daws exames rm e ms rece maemcs

nd aces em in he service a ranslans visn heir scemas

Matemacs r him reazes n hg he desce he rcessi

dialecca Ideas wich rm e rzn bein r all ssible rainaiy

Laa dd n hesiae rm 1 9 3 9 nwards, t reae hs rcess e

edeggerean daecic being ad begs s Diedn reared

vadae Lamas high seclains raer an se he crre'

eisemiss w are a cery end e es sa is

as e wa gd is exhasviy n mahemaical wlede

cerail wrwhile n ise weve dclt t cqerr heose n e ees e maeacas does even serve as

a arca garanee e vadity s sca cncsns

A b, Diedns rase Lan is a arscrac rcedre

a ghin Latman is recgnzed s belngng e bherd o

genne scars B a e hisy wich s at sae remas adwil always reman in excess a recgii

Mahemaicis el s be maemaicians Ad we are we re

hnored a a wut avg advaced ne se cvncig

em e essence e sie maemacal gh e

anayss, a wse ateaical reere n e tque Pur easndid g mc rer an e amus 7 1 2 eeed on


43/524

I TRODUCT IO

te pat o Poina matematia gant), om moe hoohca

eogition tan Lautm, wo eeed to te n s utr o s te,

eeved o iedon and is lleagues.We tus nd oselves, o ou at, opeled to suspet aema

tiian o beng as emading onning ateatia knowledge as they

ae la we it oes to te piosopa deignation o te essene

tat knowledge

et in a ense, ey e opleely igt. matemati s otology,thee is no ote olti o ose ho wat to patiipate in te ata

developmet o ontology: tey mt stuy te matematians o te

time te eel o phlsopy' is ontology, te detve be a matem

tiian is oet. e new teses o being a eng ae indeed otng

ote tan te new theoies an e new teoem to wi oingmathatiinsntologists wtot kowing sodeote temsees btthis ak o nowedge is te ey to te tt.

t s teeoe esentia n oe to od a easoed debate ve te sage

ade hee matemats to assume a ual nsequene o te dentity

o maematis ad ontoogy i is ta phoohy s orgay saratedfrom ntolog ot as a van ita knoledge wold hae us eievebeause otoogy does ot est, bt ate bese i eis ly to te

degee tat wt s sayaeand saido eg a being des no in any

manne aie o te disouse o losophy

Cosently, ou goa is nt a tologal esenaton, a tetise on

eing whi is eve nytg ote than a atheatil teaise

eae, te odable ntroution to Ani n nine vomes y ean

ieuonn. nly a wll to pesntaton wold ee oe to dvanento the naow) be o te ost eent matematial pblem

Failing tat one is a onle o ontoogy, an not ontogst.

u goal is to establis te metontogial tesis hat ateatis s

the isoiy o te disose on bing q being And te goal o tis goal

s to assg ilosopy te nkale atlaon o wo dsoes and

aes w not t meats, ene o beng, nd e e

vening doines o the eve, w, pesely, desgnate haws-not beng qaeng

Te tes ontlogy = matmats is eta-oologial ts exludes it

beng mathematal, o ontologial. e statiation o disoses st be

admitted ee. Te deonstation o the tesis pesibes te sage o

etan ateatal gens, ye tey ae oaned by pioopia

les, and ot y tose o otepoay matemat. n ot, the pat

1


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14

BE ING AND EVENT

o ateatcs at stake s tat n c t s storcally pronounce tat

every objec' recble to a pure ultly, self bul on e

upesentato f te vo te ar called set eory atraly, tesefragets an be rea as a partcula ype o ontologcal arkng o eta

onology an nex of a sursve desatcaton, ee as a evetaloccurrence en. Tee pot wl be scusse n a ollow Al enee o know o te oent s tat t s oncontradctor to old tese

morels of aematcs as alos nacveas eetcal evce e

developent of oology, n wc t s rate algebrac opology fuc

onal analyss, ereal geoey, etc, wc regna, a te same

tme o coer at ey rean nglar an necesary suports or e

eses of ea-nology

Lets ereore atept to dssate te undesnng a not

preteng n any ay tat e teatcal oas ento are emost nteestng' or gnca n e current tate of ateatcs Tat

ontology as ollowe s corse well beyon te s obvous or a sayg at tese oans are n a ounatonal poson for amatcal

dscrsv, even f ey generally ccur a e begng o everysystematc treatse To begn s not o fou My problem s no, s ave

sa, tat of ouatons, for at woul be to advace wn te nera

acecture of ontology wereas y task s solely to ndcate s ste

However, at do afr s tat torcally tese oan are smptoswose nterpretaton valdaes te tess tat ateatcs s only assure

o ts trut nsofar as t organzes wat, o beng ua beg, llows tsel to

be nscrbe

f oer ore acve ymptoms ae nteprete ten so c te beter,

or t wll ten be possble to organze te metaontologcal debae wn

a recognzble ramework t peraps, peraps a kgng by e

ateatans

Tus, to te losopers, t s be sa tat t s o e bass of a

denve ul o e ontologcal ueon a te reeo o er

genunely pecc prceres ay be ere today A to e matea

tcas, ta te onologca gnty of te researc, espte begconstrae o bnness wt resec o sel, oe not xclue, oe

unboun om te beng of te orkn mathematcan er becogterste wt s apeng n e ology, accorng o or rules,

an toars oer end n any case, t oes not exclude e ro beng

persae a e rut s at sae ere, an urterore tat t s e

act o trustng te or ever te care o beng' wc separates tru


45/524

TRODCT IO

from nowedge ad opens t t te vet tot an ote ope ut it

is eog, tan tt of ateatica infrrng stc

6

If te stabliet of te teis mtetcs s ontog s te basis o

tis oo, t s n wa ts go Hoever raca ts tess gt be, a

it does is delmt te propr spac of piosop Crtinl, t s tslf a metantooca or pilsopca tsis ecessitted b te urret cumlativ

tate f atemacs (ater Ctor, Gdel an Coe an pisop

after Heideger But ts futio is to introce peci tees o

oder psop, partclarecause ateatic s te guaria o

beig ua begte pobl of at-i-not-begua-bng More

ver, t is bo too soon n qite uprodcte to sa tat te ater is

uestin of on-eig s sgested t tpoog wt wc egan

tis trouction, te oa (wc s not a domin t rater a

ncisio, or, s we sall see, a sppleent f wat-s-nt-beig-qua-beis orgaiz around two afiated ad essntal ew concpts, tose o

trut n sect

Of curse, te l betee trut d t subct apears ancen, or i

case to ave eae te st of t rst pilosopc moernit

wose augural name Descrtes Howeer, I am clamg to reactvate

tese terms wti a entrel diffeet perspectve ts boo fonds

octrine wc s effectve post-artesin, o eve postLacaia,

octrie of at, fr togt, bot ubinds te edegere connectioetwen eng a trut an nsttutes te suect, not a support o

rigi, ut a frament of te process of a tutf oe catgor ad t be dsigated as an eblem of m togt, i

woud e nter Cantors pure ute, r Gdls costructe, or t

oid, wc g s naed, or even te evnt, w te

uppeent of wat-s-ot-eng-qa-beg orgnates t oul e te

enercTis ver ord geerc wa of a d of fronter effct in whicatematics oud is foudationa arrogance orrowe it rom

ateatcan, Paul Coe t oen dscveries ( 1 96 3 , t great

ouet f tugt begun Cator a rge at te end of t

eten ury bam mp Ta b by ry prov

inadequate or te tas of stematical depog te entre o


46/524


47/524

TROTO

Wa apens i a in sciece in e ae) oiics and in oe (f i

iss) is comng o ig f an disci of e ims wic as

c is neie a known o ecgnizd mtipe o an ineffae sigaiy t a wic deais in is mipe-eng a e commo ais of

coece in esin in is sense i is of e coecie's eg

e ysey of ese poceds as geeay ben efeed ee o ei

epesna condiions (e knowedge o e cnica of e socia o

te sea) to te ansceden beyond of ei ne (oioay

ope te oes fsio oeic c-sais ) n e caegoy of e eneic

popse a conepoay tiing of es pocedes wic sows atey ae simaneosy indeeminate ad compee; ecas in occpy

ig gaps f aaiabe encycpaedias y maifes e comoeig

te mipeessence of te pace in wic tey poceed

A sjec s e a nie ome of sc a manifesaion A sjec

anft loall s soy sppoed y a geneic poced Teefoe

tto nsu tee is no sbject sae e aisic amoos scienc o

oiica

To ik aenticay a as een pesented ee eey in e fo

f a g kec st ing to desad is o ing a

sppeend. T eisnce of a is sspended fm occenc

an een sice een is ony as sc i e eoacion o

a ienon wat nay ests is a come ajecoy wic is

econstcted y e oganizaon of e ok as foos

1 eing ie and oid o ao/Cano ediaions 1 to 6. eing ecess sa o a siaion ne/ip woe/pas o

/ ? ediations 7 o 1 0 .

eing nau and nnity o eidege/Gaieo edtation 1 1 t1 5

Te een so nd ul-one W-s-no-ben-qubengditaions 1 6 o 9.

5 n inteetion and diy Pasca/aio of cice de

i/deducion ediaios 20 5.

6 Qanty and knoedge Te discenie (o conscbe) Liz/

de ediations 6 o 30

7. e geneic discni and e een P. J. oen

ediaios o 4

8 Focn u n bj ec Bynd cn eons 3 o 37

7


48/524

BE IG AD EVE

is cear he necessry ssae hroh res o athecs isreire orer o set wh pn o excess ha sypoc

orsio o en whch s r wiin he perpeuy o we owees. Ths e e ersoo y scorse s ever episeo

oc r s ph soph ahecs ha were the case wou

have scsse e rea oer sch s o episeooy rs

os is ec Mahecs s ctd here o e s ooocessece ecoe nies. s s he ooes resence ce

coe upon he re poes o ern a Cean a o e

s aer or conesao he poec ex en hs sprea ou

ssece here ne s aow e wihou ippn he eerrse overin epseooy ore h h o eieers eerprse t

sie aestheics he rh ce a ssec e aheaica ex For

wh oe expecs ro sc n opern is ess nowee he

cs hn a eerinaon o e pon a whc he say o eoccrs a epr excess er se s a rhways arsicscienc o a r oros .

s prescron he es he pssy o c ahecs sue sch ha r a he sje e ne e r ein ow e

to ay h ese caos a ns nsere re re versy

accesse an nvoca ha hose the poes

8

Ths oo n cnory he scre ysery o e Triy s 'hreee . s p o rysee eos is r recs hecaaeisics Desaes exhe e eas ( cncepanae s rreverse ) he ea ano ac eepe aa eho o exs wc avs pss e rean es

se r vers ocres orr o se s own rh hereaer w so rear hwever h there are ree ere ypes o

eia. Ceran eaos expose n an o he rnc

coceps he roose rajecry o h es ca e e pureycnca es. Or eans nerr snar ponexs ro he rea hsory o phsopy ( rer eeve aes aoArsoe pnoa ee Mar asca ern Lez ousseescars n can) . e s c ese exa e aions . ny ere


49/524


50/524

0

G AN NT

trsport toht tt is se eyon te ct proo, procee orter wt te eostration Te ve eatic wrs e

here re te oowin

Te xios o set teory, intoce, expie an accopie y

piosophic oetry prts n , te n ) Tere is

rey no icty ee or nyone, sve tat wich enveops ny

conetrte tot

Te teory orin ers part Te ae ppies

A ew ictions concerni cri ners Me ittio 2 ) o

it icer hee, spposin prctice in everyhin wic preceestis sectio Appenix copetes tese iniatio oeover in

y eyes, it is o re t ntrisic interest

Te costctie Meittio 29

Te enerc n orcin Meittions 33 3 3

These st two expoitions re ot eisive n oe intricte B t tey

are wort the eort ave trie to se oe o presettio ope to

eorts My o te eic ets re pce i n ppenix orpse over

have noe he syste o contrinin, nere otote i

yo interpt te rein ner, wy ot pt into te ct text

wtever yo re invtin te reer to perse the reer ss i or

here a estion, e or se cn o to te en o te oo to see i ve

iven response t wont e tei t, or av in isse ootnote, t

rter ie or avin isppointe teir en

At te en o the oo ictiony o concepts y e on


51/524

ng : i nd Vo i d o/anor


52/524

T n nd i : r cond i ion ony o ib ono ogy

nc s arna oranzao onooy ha u h portco o tsr p ou o th oown xprc wha presents t ssnay tp what prss s s sna y on. Th rcprocty

o h on an n s crany nauura ax o phoophyzs oruao s xnt Wha s not n s ot an y s aso s pass an pass n wch h rvovn oorso Pats Parendes n rouc s o h suar joy o vr s hon o concuso arv. For n s on tn o us pos ha

ha s no on h up not Bu hs s accpa or houhcaus wha s pr s p an o cano s how thr cou

a acss t n outs a prsao . I prsntao s not os

s a ss to sa wa prsts ts as h othrhan prsnaon s hn th p ncssary s. It oows thatn s no or rcproa w h on an hus s o or ncssaryo consr as on hat psn s nasuch as t s Ths concon s

ay unacpa o ouh cas prsaon s oy hs pasuch as wha prsns can ou as n an so

W n osv n th r o a cson a cs o to ra wh th

arcana h on a h n hch phosphy s orn an urphon o own ophsc cospon Th s cson can a o ohror an h oow h o s ot It s no a uon howr oaanonn h prncp Lacan assn o th syoc ha tere snns . Erythn turs on asrn h ap wn h prsupos o a s r ) o a n o th on a th hs o ts thr . Wha cou hr whc s no rcy span s aray too

3


53/524

B G A T

ch o sy here s Oneness ecaue he here, en s n errn

oizain, concee pon o bein o he one.

Wh as o e ecre is ha he one, hich is no soe exss sopraton In oer wrs ere is no one, on he oun sone. The ne,ein n operon, is neer a preseio. I so e en uie

seriosy ha he oe is ner n ye excp i we pyhorize,

ere is no cause o pos a ein eing is n er oes h is en

ha ein is n pe er Sricy speain yes, becase ei is

ony ipe nsc as occrs in preseion.

In s he ipe s e reie o resenion he ne, in respe o

presenaon, is n operin res; bein s wha presens se. On

hi s s en is neiher oe euse ny presenion se is perien

o he cnasone, nor pe becas he ipe is solely hereie o presenin

Les x he erinoo I er staton any presene ipiiyrne he eeciveness he preseon, siio is he pce o

npace, whaever he ers o e ipiciy in esin. Every

siion ais is on prcr operaor o e coun s one. This is hes enera enion o strctre; i wh prescries, or a preseeipe he reie o is ns one.

When anyhn is con as one in siaon, a his ens is h i

ens o he siuion e oe prcr o he ees o he

siaion srure.

srure ows uer o ocur wihn he presene uipe oes

his e h he ipe, s re presaio s no ye anuer One s no re h every siin is srcre The

ip e s rerocivey eie herein as anteor o he oe, insor s hecn- n i l resl he c n i an eraon lls o say ha e oain he peraon s no one or he one s ot n ha herere hs oan s ipe sce, wthn pesentaton his o on is necessariy ipe In ohe wors, he conasone he

srcure inss he nivers perinece o he one/ipe oupe or

an siion .

Wha wi have een cone s one, on e asis o o ain een

one, urns o o e ipe.

I is hereore wys n e aeree o e coun h presenion is

niey hine as e, he neric ini he siion

is se o Ye here is no siin wihou he eec o he cn, an


54/524

TH O N AN TH U T P

theree it is crrect t state tt presetti s suc i rear t

ne is tipe

here i s anter ay ptti tis te tie is e iertia icc e etractivey scee starti r the act tt te perati

te cutas e st eective perate i rer r tere t e Oeess

e tipe s te ievitae peicte at is strcture ecaue te

structutii ter wrs te cutneis n eect e e

ic i t cant preset ise i t a y perate s such it s ein i ts perati te stat preseatiit i s te rer tetipe

e mtipe eviety spits apar ere 'utipe is iee sai

pesetti i ta it is etrctvey appreene s e a s s

eine is a rest et 'tipe is s sai te cpsiti te

cnt tat is te utie as seveanes cte y te actin

structe ere is te utipici ieria tat resentati there is a s the tipicity cpsiti wich is ta t nuer ate eect structre

Lets aree t ter the rst incosisten mltplici te seccnsistet mltplici

A sitatin wi es a trctre pesentti) is reative tese ters teir ue tipicit ncsistent a cistent is

ity is estaise i e istiuti the cta se incnsitecy

ere an csistecy terwars Sructue is t t ies us t

cnsier via etrati tat pesett in i a tipe icnsisten ) a

a atres s via aicipa t cpse the terms the presenta

tin as uits a utipe cnsitent) t is ceary recizae t tsistriti ati a authrizati akes the e-wic is

nt-int a lw. t i te sae thin t say te e tt it is nt tsy ta te ne i s a aw te tipe i the e sese ei watcnsrans e i anes se as sc an wa res tssructue cpsi

Wha r wu a iscse n ei-ua eite in eepi

ith h has ee saiere is nti apa r situatis Onty i it exsts is astati We ieiate n rseves ct a ue icty

O te ne a a sitti s a resentain De tis mean at apresetati ei as c necessary It ses rter tat 'e isnc a y resenan rsns n cann s h ce presete qu ing

2


55/524

6

NG AN T

t ter a i te iscrse ei qa e iis a

stat it st ai a e te case that is a strctre

Bt t e ctae f ein ea s staht ac it thsearias wi sistr ser the recirct te e a e? I

th e is t e i se te erati te ct stt e ait

tat ei is no one? i tis case is t tracte r evr ct?Besies is is exact a e are sai e e ecare it etere

es t te st te e a te tie

his a as e s s there is strtre ei

t s a tis it tha Great etati arises a tetat cishica ties istricay ave t resiste: it cssts i

rmv te sace s i that t is t ac ta a sitat

sa tat t s a s iat is t sii tat ei cat e

siie ithi a strctre t e a a y a exeriece situte

a strctre i ar us a access t e vi eis

rsce st astic r tis cvcti is t atic

staeet acci ic te Iea e G esie ai ei

as eisremee te iteie rei i s r a tt E7XHVa

TS ovuta, e ssae tat s resetae iti te ra

t taticisataietere It is a e ic is t a Iea

ist i hat e ass hc te ver ieait te ea

atais its i la) a i terere t ai tse t e

iti e aricats te ace a e see r cte

ate a aze i is te rest a itiatr re

te c acrs is at tt t is e tat t aconeptua eve e i eatv eies r ich theexteriritstati ei is revae its etereeit t ayprestaton a to an pcaton tat s , n ts aca ate to ot

the tie siatis a te ree te ct as e

atrit c stites e i tr r te ti

ae excsive s ase er F te i vi

eprience his at csecates itse t ystic a iat a a iat i ic e asis a iterrti a reseative sitatis

a at te e a ave srita exercse a resece is aie aesece c s exact tat of e e te e as o tst aet a cts te t Fia i ters

lanuae tis a t ses at i is te tic resrce aae ae t ts sae t e a its hic s


56/524

TH ON E ND TE U T PE

capae rmin an excepinwihin e ii e pssie e

crren reie siuais

e cpivain ane h e eecs is ice i s precisey whacas me refse cee n wa cnraics i ru a ru I w mainai an i is he waer is ha ontlogy i a sita tion I whus hae esve e w ar icuies esuin r is pin

a e presenain wii wi ei ua ein can e rainay

se an a e na s neraher n ain he vanis

in e prise an excepin I I sucee i is as I wi reue pin

pi e cnseuences wha I wi name r ere n enes resencer presence i e exac cnrary pesenain Cnceptally i is wiin e piive eie peicain an even raiain a I wi esi e eisence n ny Te

eperiene wi e e ecve ineni were e resu ar rein he aue sinuariy saininess wi e y ransissie

iin nwee inay e langage repeain any pe wi pssesshe penia wha Free nae ieraphy Teer e ensee w

pse he epai presencee rir he suracie inic ein i sai ey as a wich cann e upe n e asis any preence r experiene

e uraive s ppe here a we sa see e eieereanhesis a wiraa ein I is n in he wirawai s preence

ha ein mens e ein i riia ipsi in e pin

asinin usus a e exreme pin niii a peic ve

rnin e nica ru is re rericive an essppeic i i n ein recse rm presenain a ein as sc is

cnsaine e sayae r aniy wiin e iperaive ee a

aw e s rii a cnceivae aws e a enraive an

raiae iereceus e iein e wi w is in n e aaen

aes ny as siuain curse i cu e sai a evena i ie is n ecessive esvi such paaxes ar r i

In any ase e us einI here cann e a preenan ofein ecaue ein ccurs in every

pesenainan is is wy i es n peen itseen ere is nesuin e r us a he ngica suain e the presentation ofpesenaion I in a i i s case en i is uie sie a wa isa ae in su a suin s ein u eing ns s access einis ere s exce presenains A e very eas a siuain whe

27


57/524

NG AND NT

presetaive tipe is ta presetai itse c cnstitute te ce

r ic ssie access t ei is raspe

Bt at es it en t say tat a presetatin is te presetati presetain s tis eve cceive

Te ny preicate e ve appie t presentati s ar is at te

tipe I te e is t eciprc it ei te tipe ever is

reciprca it presentt i is cstittive sp i it icsistet a

cnsistet tipicit O crse i a structre sittian te re

a scte utipe presenttin is ths utipe wse ters etteseves e ere te sis te w tat is structure tecase). resetatin i eer is re atet te sie

incsistet tipicity Te atter as iti te retrcti te

ct a i inert irrecii it te presete tipe t ppe an

irreciiity te ai te resenetipe r ic te

perati te ct ccrs.

tis sis te in tesis ay e ierre i ty is

pssie tat is a presetati presentati te it is te situti

te pe tipe te tipe iitse T e re exact tycn e sey te theo of iconsisent mltiplicties a such s sc eanstat at is presete i the tic sitti is te tipe witt

a te preicte ta its tipicity Oty isar s it exis ts st

ecessariy e te science te tie a mtpe

ve i e sppse at sc a sciece exists cu it s strcture e

tat is e a e ctse ich res it as a cceptu

sitti It sees naccetae ta

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Badiou Being and Event 1988

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