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nLab > Latest Changes: epistemology of mathematics

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  1. starting article on epistemology of mathematics which was previously linked on philosophy of mathematics but went to no article.

    Anonymous

    v1, current

  2. Adding reference

    Anonymous

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeNov 29th 2022

    There’s a lot more which could be said about the epistemology of mathematics, including but not limited to

    • deduction systems and in particular natural deduction, and epistemology as deductive proof

    • comparing different foundations of mathematics and its impact on mathematical knowledge

    • the intersection of epistemology of mathematics and the history of mathematics, and how time evolution of mathematics has impacted mathematical knowledge

    • social epistemology and social constructivism, i.e. how the mathematical community creates knowledge, and demarcates knowledge from non-knowledge/pseudomathematics;

    • how mathematical pluralism and epistemic relativism in the foundations of mathematics leads to normative decisions about epistemology in the foundations of mathematics, including the material vs structural set theory debate, the set theory vs type theory debate, and the set-level vs higher foundations debate.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2022

    cross-linked with epistemology

    diff, v3, current

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