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Inspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence. The main focus of this textbook is on dependent type theory and its recent variant homotopy type theory.
Stefan Müller-Stach is Vice President for Research and Early Career Academics at Johannes Gutenberg University Mainz and professor for number theory. His main research focus is on algebraic and arithmetic geometry, mathematical physics and history of science.
Fundamental Questions.- Scientific Languages.- Mathematical Thinking.- Mathematics in our Culture.- Computability and Decidability.- Deductive Systems and Incompleteness.- Category Theory.- Type Theory.- Semantics and Reality.
James Carlson, Stefan Müller-Stach, Chris Peters, Stefan Müller-Stach, James (University of Utah) Carlson, Germany) Muller-Stach, Stefan (Johannes Gutenberg Universitat Mainz
James Carlson, Stefan Müller-Stach, Chris Peters, Stefan Müller-Stach, James (University of Utah) Carlson, Germany) Muller-Stach, Stefan (Johannes Gutenberg Universitat Mainz