A model of Peano's axioms in Euclidean geometry

Graduate Thesis Or Dissertation

公开 Deposited

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

Descriptions

Attribute Name	Values
Creator	McClendon, Mickey Alton
Abstract	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.
Resource Type	Masters Thesis
Date Available	2014-03-05T19:36:00+00:00
Date Issued	1969-05-01
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1969
Advisor	Goheen, Harry E.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Axioms
权利声明	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/46393

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