Arnold Dresden (1882-1954) and the Thesis of the Plurality of Mathematics

Authors

  • Jerzy Dadaczyński Faculty of Philosophy, Pontifical University of John Paul II in Kraków

Keywords:

Arnold Dresden, plurality of mathematics, intuitionism, intuitionistic mathematics, applicability of mathematics

Abstract

The plurality of mathematics was recognized in the 1960s. In the 1920s two competing versions of mathematics were available: the classical and the intuitionistic. Their supporters rejected opponents' mathematics as such, so that the thesis of the plurality of mathematics could not be accepted. Arnold Dresden was the exception. He rejected the idea of evaluating mathematics with respect to truth or falsehood. Instead, Dresden assigns to mathematical theories (and whole mathematics) a partially temporal degree of gradable applicability. This allows the 'coexistence' of plurality of mathematics.
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Published

2014-03-01

How to Cite

Dadaczyński, J. (2014). Arnold Dresden (1882-1954) and the Thesis of the Plurality of Mathematics. The Philosophy of Science, 22(1), 121–129. Retrieved from https://www.fn.uw.edu.pl/index.php/fn/article/view/749

Issue

Vol. 22 No. 1 (2014): THE PHILOSOPHY OF SCIENCE

Section

Articles