The problem of the universality of propositions in Principles of Mathematics Cover Image

Проблемът за всеобщността на пропозициите в Принципи на математиката
The problem of the universality of propositions in Principles of Mathematics

Author(s): Martina Mineva
Subject(s): Philosophy, Social Sciences
Published by: Пловдивски университет »Паисий Хилендарски«
Keywords: universality of proposition; denoting concepts; philosophical logic; analysis

Summary/Abstract: The main focus of the article is to view the problem of universality of propositions and the introduction of the theory of denoting concepts in Bertrand Russell’s Principles of Mathematics (1903). Such viewing gives a chance to problematize the solutions that directly relate also to the justification of the field of philosophical logic, while retaining the tension of meaning that is created by Russell as a logician and Russell as an ontologist. For that purpose, Russell’s conceptions areexpounded of the difference between being and existence, of propositions, of terms, reaching the introduction of the problem of universality and its critical discussion. Finally, it is argued that the problem of universality stays unclear, on the one hand, because of the fact that its very raising starts from a new analysis of propositions, and on the other, because Russell lack self-reflection of his own philosophical-logical achievements.

  • Issue Year: 2017
  • Issue No: 2
  • Page Range: 22-30
  • Page Count: 9
  • Language: Bulgarian