Set Theory and its Place in the Foundations of Mathematics: a new look at an old question

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Abstract

This paper reviews the claims of several main-stream candidates to be the foundations of mathematics, including set theory.
The review concludes that at this level of mathematical knowledge it would be very unreasonable to settle with any one of these foundations and that the only reasonable choice is a pluralist one.
Original languageEnglish
Pages (from-to)415–424
JournalJournal of Indian Council of Philosophical Research
Volume34
Issue number2
Early online date18 Jan 2017
DOIs
Publication statusPublished - May 2017

Keywords

  • Pluralism
  • philosophy
  • mathematics

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