MATHEMATICAL STRUCTURALISM AND PURELY FORMAL THEORY Cover Image

MATHEMATICAL STRUCTURALISM AND PURELY FORMAL THEORY
MATHEMATICAL STRUCTURALISM AND PURELY FORMAL THEORY

Author(s): Marcin Czakon
Subject(s): Structuralism and Post-Structuralism, Philosophy of Science, Methodology and research technology
Published by: Editura Universitaria Craiova
Keywords: philosophy of mathematics; mathematical structuralism; structure; structurality of mathematics; deductivity of mathematics; structuralism sui generis; set theory; methodology of mathematics;

Summary/Abstract: In this paper we put a thesis that it is possible to perceive mathematics as a science of structures, where the difference between structure as the object of study and theory as something which describes this object is blurred. We discusses the view of set-theoretical structuralism with a special emphasis placed on a certain gradual development of set theory as a formal theory. We proposes a certain view concerning the methodology of formal sciences, which is an attempt at describing precisely and capturing in a scheme the ways of development of deductive sciences in general, set theory including. We show that the standpoint of sui generis structuralism has some features characteristic of purely formal theory.

  • Issue Year: 2/2020
  • Issue No: 46
  • Page Range: 117-134
  • Page Count: 18
  • Language: English
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