A road map for predicate logic translation.

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Presentation transcript:

A road map for predicate logic translation. All A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx)

A road map for predicate logic translation. All A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax Bx)

A road map for predicate logic translation. All A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax & Bx) WRONG!

All A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Dx & Lx) WRONG! This says that everything is both a DOG and LOYAL.

All A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Dx>Lx) RIGHT For every x, if x is a DOG then x is LOYAL.

A road map for predicate logic translation. No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx)

A road map for predicate logic translation. No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx) -$x(Ax>Bx) WRONG!

A road map for predicate logic translation. No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx) -$x(Ax>Bx) WRONG! ‘no’ isn’t ‘not all’

No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx) -$x(Ax>Bx) WRONG! ‘no’ isn’t ‘not all’ No men are good tennis players. F Not all men are good tennis players. T

A road map for predicate logic translation. No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx) -#x(Ax&Bx) Right ‘no’ is ‘not some’

A road map for predicate logic translation. No A road map for predicate logic translation. Is the statement singular? No Yes General All A B No A B Some A B Pn #x(Ax&Bx) $x(Ax>Bx) -#x(Ax&Bx) $x(Ax>-Bx)

Not All General All A B No A B Some A B -#x(Ax&Bx) $x(Ax>-Bx) Not all A B

Not All General All A B No A B Some A B -#x(Ax&Bx) $x(Ax>-Bx) Not all A B - all A B

Not All General All A B No A B Some A B -#x(Ax&Bx) $x(Ax>-Bx) Not all A B - all A B -$x(Ax>Bx)

Not All General All A B No A B Some A B -#x(Ax&Bx) $x(Ax>-Bx) Not all A B - all A B -$x(Ax>Bx) #x(Ax&-Bx)

For more click here Not All General All A B No A B Some A B -#x(Ax&Bx) Not all A B - all A B -$x(Ax>Bx) #x(Ax&-Bx) For more click here