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Gödel's theorem : an incomplete guide to its use and abuse
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ISBN: 1568812388 9781568812380 Year: 2005 Publisher: Wellesley, MA : A K Peters,

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"Among the many expositions of Godel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzen gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Godel

From Dedekind to Gödel : essays on the development of the foundations of mathematics
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ISBN: 0792334841 9048145546 9401584788 9780792334842 Year: 1995 Volume: 251 Publisher: Dordrecht : Kluwer,

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Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Godel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsay. Needless to say, such logically-oriented thinkers as Frege, Russell and Godel are not entirely neglected, either. Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.

L'incomplétude du symbolique : de René Descartes à Jacques Lacan
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ISBN: 9782908855036 2908855038 Year: 1996 Publisher: Paris : E.P.E.L.,

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