The Applicability of Mathematics as a Scientific and a Logical Problem

@article{Ye2010TheAO,
  title={The Applicability of Mathematics as a Scientific and a Logical Problem},
  author={Feng Ye},
  journal={Philosophia Mathematica},
  year={2010},
  volume={18},
  pages={144-165}
}
  • Feng Ye
  • Published 2010
  • Philosophy
  • Philosophia Mathematica
This paper explores how to explain the applicability of classical mathematics to the physical world in a radically naturalistic and nominalistic philosophy of mathematics. The applicability claim is first formulated as an ordinary scientific assertion about natural regularity in a class of natural phenomena and then turned into a logical problem by some scientific simplification and abstraction. I argue that there are some genuine logical puzzles regarding applicability and no current… Expand
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I argue that the most popular versions of naturalism imply nominalism in philosophy of mathematics. In particular, there is a conflict in Quine’s philosophy between naturalism and realism inExpand
What anti-realism in philosophy of mathematics must offer
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A research project is introduced for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics that belongs to anti-realism, but can meet the strongest challenges and can perhaps convince some realists, at least those who are also naturalists. Expand
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