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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References found in this work

Theory and Evidence.Clark Glymour - 1981 - Philosophy of Science 48 (3):498-500.
The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Measuring confirmation.David Christensen - 1999 - Journal of Philosophy 96 (9):437-461.
On the reality of cognitive illusions.Daniel Kahneman & Amos Tversky - 1996 - Psychological Review 103 (3):582-591.

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