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Date post: 02-Jan-2016
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All. General. Some A B. All A B. No A B. A road map for predicate logic translation. Is the statement singular ?. No. Yes. Pn. #x(Ax&Bx). All. General. Some A B. All A B. No A B. A road map for predicate logic translation. Is the statement singular ?. No. Yes. Pn. #x(Ax&Bx). - PowerPoint PPT Presentation
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All A road map for predicate logic translation. Is the statement singular? Yes No General All A B No A B Some A B Pn #x(Ax&Bx)
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All

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx)

All

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) $x(Ax Bx)

All

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) $x(Ax & Bx)

WRONG!

All

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) $x(Dx & Lx)

WRONG!This says that everything isboth a DOG and LOYAL.

All

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) $x(Dx>Lx)

RIGHTFor every x, if x is a DOG then x is LOYAL.

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) $x(Ax>Bx)

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) -$x(Ax>Bx)

WRONG!

$x(Ax>Bx)

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx)

WRONG!‘no’ isn’t ‘not all’

$x(Ax>Bx) -$x(Ax>Bx)

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx)

WRONG!‘no’ isn’t ‘not all’

No men are good tennis players. FNot all men are good tennis players. T

$x(Ax>Bx) -$x(Ax>Bx)

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) -#x(Ax&Bx)

Right‘no’ is ‘not some’

$x(Ax>Bx)

No

A road map for predicate logic translation.

Is the statementsingular?

YesNo

General

All A B No A BSome A BPn

#x(Ax&Bx) -#x(Ax&Bx)$x(Ax>-Bx)

$x(Ax>Bx)

Not All

General

All A B No A BSome A B

#x(Ax&Bx)

Not all A B

$x(Ax>Bx) -#x(Ax&Bx)$x(Ax>-Bx)

Not All

General

All A B No A BSome A B

#x(Ax&Bx)

Not all A B- all A B

$x(Ax>Bx) -#x(Ax&Bx)$x(Ax>-Bx)

Not All

General

All A B No A BSome A B

#x(Ax&Bx)

Not all A B- all A B

-$x(Ax>Bx)

$x(Ax>Bx) -#x(Ax&Bx)$x(Ax>-Bx)

Not All

General

All A B No A BSome A B

#x(Ax&Bx)

Not all A B- all A B

-$x(Ax>Bx)#x(Ax&-Bx)

$x(Ax>Bx) -#x(Ax&Bx)$x(Ax>-Bx)

Not All

General

All A B No A BSome A B

#x(Ax&Bx) $x(Ax>Bx) -#x(Ax&Bx)$x(Ax>-Bx)

Not all A B- all A B

-$x(Ax>Bx)#x(Ax&-Bx)

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