Aristotelian Logic, Axioms, and Abstraction

  • Roy T. Cook
Part of the The Western Ontario Series in Philosophy of Science book series (WONS, volume 71)

Neo-logicism is the view that various branches of mathematics can be reformulated in terms of abstraction principles that we can stipulate, and thus come to know the truth of, a priori. The main success story of neo-logicism so far is the derivation of arithmetic from Hume’s Principle:


Logical Truth Abstraction Principle Aristotelian Conception Aristotelian Logic Peano Axiom 
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© Springer 2007

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  • Roy T. Cook

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