hw5s - Homework#5 Solutions Philosophy 12A Page 158#6 `If...

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Homework #5 Solutions Philosophy 12A November 24, 2008 Page 158 #6 . ‘If Fermat was a French mathematician, then he was famous.’ Our domain of discourse ( D ), predicates ( R , M , F ), and individual constant ( i.e. , the proper name of the individual person Fermat) ( f ) are: M _ : _ is a mathematician R _ : _ is French F _ : _ is famous f : Fermat D : people In “Loglish,” we have ‘If Rf and Mf , then Ff ’. In LMPL, this becomes: ‘ (Rf Mf) Ff ’. Page 158 #16 . ‘If no wealthy economist exists then no fa- mous mathematician exists.’ Our domain of discourse ( D ) and predicates ( W , E , F , M ) are: W _ : _ is wealthy E _ : _ is an economist F _ : _ is famous M _ : _ is a mathematician D : people In “Loglish,” we have ‘If there does not exist an x such that both Wx and Ex , then there does not exist an x such that both Fx and Mx ’. In LMPL, this becomes the following: ( x)(Wx Ex) → ∼ ( x)(Fx Mx) ’. Page 165 #5 . ‘If it rains, only the killjoys will be happy.’ Our domain of discourse ( D ), predicates ( K , H ), and atomic sentence letter ( R ) are as follows: K _ : _ is a killjoy R : ‘It rains.’ H _ : _ is happy D : people In “Loglish,” we have ‘If
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