Set Theory and Logic

    

First Principles of Mathematics

Authors: Forrest C. Taylor

A dependent type theory is proposed as the foundation of mathematics. The formalism preserves the structure of mathematical thought, making it natural to use. The logical calculus of the type theory is proved to be syntactically complete. Therefore it does not suffer from the limitations imposed by Gödel’s incompleteness theorems. In particular, the concept of mathematical truth can be defined in terms of provability.

Comments: 100 Pages. CC BY-NC-ND 4.0 international license

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