Structurality and Deductivity of Mathematics: Contemporary Structuralism in the Philosophy of Mathematics Cover Image

Strukturalność a dedukcyjność matematyki: współczesny strukturalizm w filozofii matematyki
Structurality and Deductivity of Mathematics: Contemporary Structuralism in the Philosophy of Mathematics

Author(s): Dominika Czakon, Marcin Czakon
Subject(s): Philosophy, Logic
Published by: Towarzystwo Naukowe KUL & Katolicki Uniwersytet Lubelski Jana Pawła II
Keywords: philosophy of mathematics; mathematical structuralism; structure; deduction; structurality of mathematics; deductivity of mathematics; structuralism sui generis; set theory; methodology of mathematics

Summary/Abstract: It is common for different types of mathematical structuralism that the conjunction of two statements ( a) mathematics is science about structures and b) mathematics is deductive science) is true, Distinct arguments for this two features of mathematics are exanimated therefore the main concepts (structurality and deductivity) are understood differently, the results are various types of structuralism. We claim that it is possible to establish the way of understood of this two concepts in witch they are equivalent. We argue that can interpret mathematical structuralism as equivalence: a) mathematics is science about structures if and only, if b) mathematics is deductive science

  • Issue Year: 69/2021
  • Issue No: 2
  • Page Range: 261-268
  • Page Count: 28
  • Language: Polish