Constructive Mathematics [electronic resource] : Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11–15, 1980 /

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.

Saved in:
Bibliographic Details
Main Authors: Richman, Fred. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1981
Subjects:Mathematics., Mathematical logic., Mathematical Logic and Foundations.,
Online Access:http://dx.doi.org/10.1007/BFb0090721
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.