Constructive Mathematics

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

356 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Grundlagen Logik
• ISBN: 9783540108504
• Sprache: Englisch
• Erscheinungsdatum: 01.08.1981
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: F. Richman