Philosophy of mathematics: Making a fresh start

  title={Philosophy of mathematics: Making a fresh start},
  author={Carlo Cellucci},
  journal={Studies in History and Philosophy of Science},
  • Carlo Cellucci
  • Published 2013
  • Mathematics
  • Studies in History and Philosophy of Science
Abstract The paper distinguishes between two kinds of mathematics, natural mathematics which is a result of biological evolution and artificial mathematics which is a result of cultural evolution. On this basis, it outlines an approach to the philosophy of mathematics which involves a new treatment of the method of mathematics, the notion of demonstration, the questions of discovery and justification, the nature of mathematical objects, the character of mathematical definition, the role of… Expand
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