Graduate Thesis Or Dissertation
 

A model of Peano's axioms in Euclidean geometry

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/cr56n4434

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  • The purpose of this paper is to show that arithmetic is consistent if Euclidean geometry is. Specifically, a model of Peano's axioms [2] is defined in the space of Euclidean geometry, where Hilberts axioms [3] are taken to be the axioms of Euclidean geometry.
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