Foundations of Mathematics from the Perspective of Computer Verification

Henk Barendregt ()
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Henk Barendregt: Nijmegen University

A chapter in Mathematics, Computer Science and Logic - A Never Ending Story, 2013, pp 1-49 from Springer

Abstract: Abstract In the philosophy of mathematics one speaks about Formalism, Logicism, Platonism and Intuitionism. Actually one should add also Calculism. These foundational views can be given a clear technological meaning in the context of Computer Mathematics, that has as aim to represent and manipulate arbitrary mathematical notions on a computer. We argue that most philosophical views over-emphasize a particular aspect of the mathematical endeavor.

Keywords: Type Theory; Category Theory; Proof Assistant; Inductive Type; Axiomatic Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00966-7_1

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DOI: 10.1007/978-3-319-00966-7_1

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