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David Chalmers (ANU, NYU)
Rafael De Clercq
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Oxford University Press (1992)
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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Joshua M. Epstein (1999). Agent-Based Computational Models and Generative Social Science. Complexity 4 (5):41-60.
Martin Pleitz (2010). Curves in Gödel-Space: Towards a Structuralist Ontology of Mathematical Signs. Studia Logica 96 (2):193-218.
Robert M. Solovay, R. D. Arthan & John Harrison (2012). Some New Results on Decidability for Elementary Algebra and Geometry. Annals of Pure and Applied Logic 163 (12):1765-1802.
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