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Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.
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|Call number||QA9.65.S69 1992|
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Joshua M. Epstein (1999). Agent-Based Computational Models and Generative Social Science. Complexity 4 (5):41-60.
Stewart Shapiro (2003). Mechanism, Truth, and Penrose's New Argument. Journal of Philosophical Logic 32 (1):19-42.
Paul Benioff (2005). Towards a Coherent Theory of Physics and Mathematics: The Theory–Experiment Connection. Foundations of Physics 35 (11):1825-1856.
Panu Raatikainen (2000). The Concept of Truth in a Finite Universe. Journal of Philosophical Logic 29 (6):617-633.
Ludwig van den Hauwe (2011). Hayek, Gödel, and the Case for Methodological Dualism. Journal of Economic Methodology 18 (4):387-407.
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