• Corpus ID: 120924519

Morphoid Type Theory

  title={Morphoid Type Theory},
  author={David A. McAllester},
  journal={arXiv: Logic in Computer Science},
Morphoid type theory (MorTT) is a typed foundation for mathematics extending classical predicate calculus under Platonic compositional semantics and supporting the concept of isomorphism. MorTT provides a formal account of the substitution of isomorphics, the distinction between general functions and natural maps, and "Voldemort's theorem" stating that certain objects exist but cannot be named. For example, there is no natural point on a geometric circle --- no point on a geometric circle can… 

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