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Relativism in Set Theory and Mathematics

In Steven D. Hales (ed.), A Companion to Relativism. Malden, MA: Wiley-Blackwell. pp. 553–568 (2010)

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  1. Mathematical Pluralism.Edward N. Zalta - 2024 - Noûs 58 (2):306-332.
    Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal philosophies of mathematics are each based upon an insight or truth about the nature of mathematics that can be validated. (1) includes the multiverse approach to set theory. (2) helps us to understand (...)
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  • Philosophy of mathematics.Leon Horsten - 2008 - Stanford Encyclopedia of Philosophy.
    If mathematics is regarded as a science, then the philosophy of mathematics can be regarded as a branch of the philosophy of science, next to disciplines such as the philosophy of physics and the philosophy of biology. However, because of its subject matter, the philosophy of mathematics occupies a special place in the philosophy of science. Whereas the natural sciences investigate entities that are located in space and time, it is not at all obvious that this is also the case (...)
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  • Resisting Non-causal Explanations.Otávio Bueno & Melisa Vivanco - 2019 - Analysis 79 (3):550-559.
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