What new axioms could not be

Dialectica 56 (2):109–124 (2002)
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Abstract

The paper exposes the philosophical and mathematical flaws in an attempt to settle the continuum problem by a new class of axioms based on probabilistic reasoning. I also examine the larger proposal behind this approach, namely the introduction of new primitive notions that would supersede the set theoretic foundation of mathematics

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10.1111/j.1746-8361.2002.tb00234.x

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References found in this work

Theory and Evidence.Clark N. Glymour - 1980 - Princeton University Press.
Philosophy of Mathematics and Natural Science.Hermann Weyl - 1949 - Princeton, N.J.: Princeton University Press. Edited by Olaf Helmer-Hirschberg & Frank Wilczek.
Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - The American Mathematical Monthly 54 (9):515--525.
The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.

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