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MyWikiBiz, Author Your Legacy — Thursday November 14, 2024
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119 bytes removed ,  17:56, 8 December 2008
Line 322: Line 322:  
But the latter is not a theorem in anyone's philosophy, so there is really no disagreement here.
 
But the latter is not a theorem in anyone's philosophy, so there is really no disagreement here.
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===Functional Logic : Differentials, Integrals, Measures, Quantifiers===
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===Functional quantifiers===
    
'''Exercise.'''  Express the following in functional terms:
 
'''Exercise.'''  Express the following in functional terms:
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<blockquote>
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* <math>(\forall x \in X)(Px \Rightarrow Qx)</math>
<math>(\forall x \in X)(Px \Rightarrow Qx)</math>
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</blockquote>
     −
<blockquote>
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* <math>(\forall x \in X)(Px \Rightarrow Qx) \lor (Qx \Rightarrow Px)</math>
<math>(\forall x \in X)(Px \Rightarrow Qx) \lor (Qx \Rightarrow Px)</math>
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</blockquote>
     −
<blockquote>
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* <math>(\forall x \in X)(Px \Rightarrow Qx) \lor (\forall x \in X)(Qx \Rightarrow Px)</math>
<math>(\forall x \in X)(Px \Rightarrow Qx) \lor (\forall x \in X)(Qx \Rightarrow Px)</math>
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</blockquote>
 
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