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  3. Logicism Renewed
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  • Publisher:
    Cambridge University Press
    Publication date:
    30 March 2017
    02 March 2005
    ISBN:
    9781316755808
    DOI:
    https://doi.org/10.1017/9781316755808
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    • Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (23)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (23)
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    Book description

    Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.

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