Lecture Notes in Mathematics

Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980

By: F. Richman (Editor)

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Paperback | 1 August 1981

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356 Pages

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23.39 x 15.6 x 1.88

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Seidenberg's condition P.- Field extensions.- Dedekind domains.- Effective mathematics - the computer algebra viewpoint.- On some open problems in constructive probability theory.- Consistency and independence results in intuitionistic set theory.- Errata.- Computability of ordinal recursion of type level two.- A constructive approach to classical mathematics.- Remarks on the notion of standard non-isomorphic natural number series.- Reflections on Bishop's philosophy of mathematics.- Formalizing constructive mathematics: Why and how?.- Independence of premisses and the free topos.- An intuitionistic infinitesimal calculus.- Liberal constructive set theory.- Locating metric complements in ?n.- A disjunctive decomposition theorem for classical theories.- Towards a constructive foundation for quantum mechanics.- About infinity, finiteness and finitization (in connection with the foundations of mathematics).- A class of theorems with valid constructive counterparts.- Rational constructive analysis.

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