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Metalogika i teorie empiryczne
Metalogic and Empirical Theories

Author(s): Jan Woleński
Subject(s): Philosophy
Published by: Towarzystwo Naukowe KUL & Katolicki Uniwersytet Lubelski Jana Pawła II
Keywords: metamathematics; metascience; logical consequence; axiomatisation

Summary/Abstract: Metalogic (as a part of metamathematics) deals with the properties of formalised mathematical theories. Its applicability to empirical theories is an object of debate. The paper defends the moderate view that although it is difficult to expect such spectacular results, as have been obtained on mathematical theories, nevertheless the metalogical analysis of the first two gives us some benefits. Empirical theories may be understood as axiomatised sets of propositions closed with the operation of logical consequence. Two questions illustrate the thesis of this paper, namely the question of the elimination of theoretical terms and the question of the so-called philosophical presuppositions of science. As regards the second problem, a negative thesis is defended here: science is not based on philosophical presuppositions as premises of scientific reasonings.

  • Issue Year: 54/2006
  • Issue No: 2
  • Page Range: 299-311
  • Page Count: 13
  • Language: Polish