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By Jaakko Hintikka

This e-book, written by means of one among philosophy's pre-eminent logicians, argues that the various simple assumptions universal to good judgment, philosophy of arithmetic and metaphysics are short of swap. it really is hence a ebook of severe significance to logical idea. Jaakko Hintikka proposes a brand new simple first-order good judgment and makes use of it to discover the rules of arithmetic. This new good judgment permits logicians to specific at the first-order point such thoughts as equicardinality, infinity, and fact within the comparable language. The recognized impossibility effects by means of Gödel and Tarski that experience ruled the sphere for the final sixty years become less major than has been inspiration. All of normal arithmetic can in precept be performed in this first-order point, therefore shelling out with the life of units and different higher-order entities.

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The Principles of Mathematics Revisited by Jaakko Hintikka

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