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  1. Models as Fundamental Entities in Set Theory: A Naturalistic and Practice-based Approach.Carolin Antos - 2022 - Erkenntnis 89 (4):1683-1710.
    This article addresses the question of fundamental entities in set theory. It takes up J. Hamkins’ claim that models of set theory are such fundamental entities and investigates it using the methodology of P. Maddy’s naturalism, Second Philosophy. In accordance with this methodology, I investigate the historical case study of the use of models in the introduction of forcing, compare this case to contemporary practice and give a systematic account of how set-theoretic practice can be said to introduce models as (...)
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  • What new axioms could not be.Kai Hauser - 2002 - Dialectica 56 (2):109–124.
    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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  • O nadużywaniu twierdzenia Gödla w sporach filozoficznych.Krzysztof Wójtowicz - 1996 - Zagadnienia Filozoficzne W Nauce 19.
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