On Computer-Assisted Proofs in Ordinal Number Theory |
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Authors: | Johan G F Belinfante |
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Affiliation: | (1) School of Mathematics, Georgia Institute of Technology, USA |
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Abstract: | Some basic theorems about ordinal numbers were proved using McCune s computer program OTTER, building on Quaife s modification of Gödel s class theory. Our theorems are based on Isbell s elegant definition of ordinals. Neither the axiom of regularity nor the axiom of choice is used. |
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Keywords: | OTTER ordinal numbers set theory |
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