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dc.contributor.authorStiles, Adam
dc.date.accessioned2021-07-08T20:22:21Z
dc.date.available2021-07-08T20:22:21Z
dc.date.issued2021
dc.identifier.citation

Stiles, A. (2021) ‘Mathematical constraints and their philosophical impact’, The Plymouth Student Scientist, 14(1), pp. 405-451.

en_US
dc.identifier.urihttp://hdl.handle.net/10026.1/17327
dc.description.abstract

This paper investigates some of the constraints encountered in mathematics. It proves the incompleteness theorems. It investigates or discusses theorem proving procedures, complexity, undecidability, undefinability, and covers some examples of independent formulas. Some dialogue on the influence of these concepts on the development of mathematics, and on mathematical philosophy since the 20th century is included. This paper should give any person with an interest in philosophy sufficient understanding to discuss mathematical philosophy with mathematicians.

en_US
dc.language.isoenen_US
dc.publisherUniversity of Plymouthen_US
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.subjectmathematical constraintsen_US
dc.subjectincompleteness theoremsen_US
dc.subjectcomplexityen_US
dc.subjectundecidabilityen_US
dc.subjectundefinabilityen_US
dc.subjectindependent formulasen_US
dc.subjectmathematical philosophyen_US
dc.titleMathematical constraints and their philosophical impacten_US
dc.typeArticleen_US


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