Munich Center for Mathematical Philosophy (MCMP)

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Workshop: Foundations of Categorical Philosophy of Science

26.04.2019 – 27.04.2019

The purpose of this meeting will be to determine what kinds of category-theoretic resources are most appropriate for application to philosophy of science. We aim to address the following questions:

  • What is the role for higher category theory and topos theory in articulating the structure of scientific theories?
  • To what extent can these more powerful category-theoretic resources capture the full structure of a theory?
  • Does the topos-theoretic approach to quantum mechanics admit of any natural generalisation to other theories?
  • What (if any) is the relationship between the use of topos theory for foundations of quantum mechanics and its use in general philosophy of science?

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