practice2_13ans

# Is the set of positive integers n such that s admits

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is the set of positive integers n such that S admits n . (a) (10 points) What is the spectrum of the conjunction of the following schemata? ( x )( y )( Lxy ⊃ ¬ Lyx ) ( x )( y )( z )(( Lxy Lyz ) Lxz ) ( x )( y )( x 6 = y ( Lxy Lyx )) ( x )(( y ) ¬ Lyx ( y ) ¬ Lxy ) Fx ) ( x )( y )(( Lxy ( z ) ¬ ( Lxz Lzy )) ( Fx ≡ ¬ Fy )) the set of odd positive integers (b) (10 points) What is the spectrum of the conjunction of the following schemata? ( x ) ¬ Lxx

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( x )( y )( Lxy Lyx ) ( x )( y )( z )( Lxz y = z ) the set of even positive integers
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• Spring '08
• WEINSTEIN
• ∀x, Lxy, pure monadic schemata, Lxy ⊃ Lyx

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