A Topos Foundation for Theories of Physics : IV . Categories of Systems

@inproceedings{Dring2007ATF,
  title={A Topos Foundation for Theories of Physics : IV . Categories of Systems},
  author={Andreas D{\"o}ring and C. J. Isham},
  year={2007}
}
This paper is the fourth in a series whose goal is to develop a fundamentally new way of building theories of physics. The motivation comes from a desire to address certain deep issues that arise in the quantum theory of gravity. Our basic contention is that constructing a theory of physics is equivalent to finding a representation in a topos of a certain formal language that is attached to the system. Classical physics arises when the topos is the category of sets. Other types of theory employ… CONTINUE READING
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