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  3. Free Logic
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      October 2002
      ISBN:
      9781139165068
      9780521818162
      9780521039222
      DOI:
      https://doi.org/10.1017/CBO9781139165068
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.47kg, 204 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.312kg, 204 Pages
      • Subjects:
      Philosophy of Science, Computer Science, Philosophy, Computing: General Interest
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    Subjects:
    Philosophy of Science, Computer Science, Philosophy, Computing: General Interest
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    Book description

    Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

    Reviews

    ‘Free logic is still very much a current concern both to logicians and to philosophical logicians and philosophers of language and mathematics … I cannot but believe that the proposed collection will have anything but a major impact and would be invaluable as a teaching aid at intermediate and advanced level as well as professional research interest.’

    Peter Clark - University of St. Andrews

    ‘These essays will be seen to be even more important once mathematicians and software engineers realize that what they thought was new and novel to their fields (E-logic and E+-logic and the various other names that these logics go by in mathematics and computer science) are varieties of free logic and were first discovered 30-45 years ago.’

    Raymond Gumb - University of Massachusetts, Lowell

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