Titlebook: A Modern Perspective on Type Theory; From its Origins unt Fairouz Kamareddine,Twan Laan,Rob Nederpelt Book 2005 Springer Science+Business M

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Book 2005ype theory. The main emphasis is on:.- Types: from Russell to Ramsey, to Church, to the modern Pure Type Systems and some of their extensions..- Functions: from Frege, to Russell to Church, to Automath and the use of functions in mathematics, programming languages and theorem provers..- The role of

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1386-2790 s..- Functions: from Frege, to Russell to Church, to Automath and the use of functions in mathematics, programming languages and theorem provers..- The role of 978-90-481-6639-8978-1-4020-2335-4Series ISSN 1386-2790

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978-90-481-6639-8Springer Science+Business Media B.V. 2005

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A Modern Perspective on Type Theory978-1-4020-2335-4Series ISSN 1386-2790

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Book 2005s was at the heart of Russell‘s paradox. This led Russell to introduce type theory in order to avoid the paradox. Since, the twentieth century has seen an amazing number of theories concerned with types and functions and many applications. Progress in computer science also meant more and more emphas