New Directions in the Philosophy of Mathematics

New Directions in the Philosophy of Mathematics
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数学哲学的新方向

DOI:
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发表时间:
1984
期刊:
PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association
影响因子:
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通讯作者:
P. Maddy
P. Maddy
中科院分区:
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文献类型:
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作者:
P. Maddy

文献摘要

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数学公理传统上被认为是显而易见的或不证自明的真理,但目前在寻找新公理的集合理论工作掩盖了这一概念。这就提出了认识论上的问题,关于还有哪些其他形式的证明是可能的,以及它们应该如何被判断。
Mathematical axioms have traditionally been thought of as obvious or self-evident truths, but current set theoretic work in the search for new axioms belies this conception. This raises epistemological questions about what other forms of justification are possible, and how they should be judged.