USES OF THE LANGUAGE OF MATHEMATICS Cover Image

USES OF THE LANGUAGE OF MATHEMATICS
USES OF THE LANGUAGE OF MATHEMATICS

Author(s): Katarina Maksimović
Subject(s): Epistemology, Logic, Contemporary Philosophy, Philosophy of Science, Philosophy of Language
Published by: Filozofsko društvo Srbije
Keywords: mathematics; language; deduction; intuitionism; imperative logic; philosophy of mathematics; category;

Summary/Abstract: In this paper I criticise the dogma that asserting and naming are the most important language uses in the language of mathematics. I present the later Wittgenstein and the intuitionists as the most eminent challengers of the dogma showing that both have to offer valuable arguments against it. Inspired by Kolmorov’s interpretation of intuitionistic logic I examine the connection between intuitionistic logic and imperative logic. Along the way I offer a solution to Jørgensen’s Dilemma rejecting another dogma, the dogma based on the belief that there could not be a deduction in which premises and conclusion are something other than propositions.

  • Issue Year: 59/2016
  • Issue No: 1
  • Page Range: 26-41
  • Page Count: 16
  • Language: English
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