Constructive Mathematics

Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980
Herausgegeben:Richman, F.

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 873
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10850-4
• 1981
• Seitenzahl: 356
• Erscheinungstermin: 1. August 1981
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 564g
• ISBN-13: 9783540108504
• ISBN-10: 3540108505
• Artikelnr.: 23574456

Inhaltsangabe

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.