The present state of investigations on the foundations of mathematics

Andrzej Mostowski

  • 1955

Abstract

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INTRODUCTION A. THEORY OF MATHEMATICAL NOTIONS A1. The axiomatic method A1a. Elementary and non-elementary HyuteniB of axionm A1aa. General definitons A1ab. The general theory of elementary systems A1ac. The notion of categoricity and the theory of non-elementary systems A1b. The axiomatic method applied to concrete mathematical theories A1ba. The arithmetic of natural numbers A1bb. The axiomatic theory of sets A1bc. The axioms of the theory of real numbers A2. Constructive trends in foundations of mathematics A2a. The axiom of constructibility A2b. The ramified theory of types A2c. The computable analysis A2d. The intuitionistic logic General appreciation B. THEORY OF MATHEMATICAL PROOFS B1. The axiomatization of logic B2. The decision problems General appreciation of the present state of the decision problem C. THE THEORY OF RECURSIVE FUNCTIONS AND THE ALGEBRAIC TREND BIBLIOGRAPHY

How to cite

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Andrzej Mostowski. The present state of investigations on the foundations of mathematics. 1955. <http://eudml.org/doc/219334>.

@book{AndrzejMostowski1955,
abstract = {INTRODUCTION A. THEORY OF MATHEMATICAL NOTIONS A1. The axiomatic method A1a. Elementary and non-elementary HyuteniB of axionm A1aa. General definitons A1ab. The general theory of elementary systems A1ac. The notion of categoricity and the theory of non-elementary systems A1b. The axiomatic method applied to concrete mathematical theories A1ba. The arithmetic of natural numbers A1bb. The axiomatic theory of sets A1bc. The axioms of the theory of real numbers A2. Constructive trends in foundations of mathematics A2a. The axiom of constructibility A2b. The ramified theory of types A2c. The computable analysis A2d. The intuitionistic logic General appreciation B. THEORY OF MATHEMATICAL PROOFS B1. The axiomatization of logic B2. The decision problems General appreciation of the present state of the decision problem C. THE THEORY OF RECURSIVE FUNCTIONS AND THE ALGEBRAIC TREND BIBLIOGRAPHY},
author = {Andrzej Mostowski},
keywords = {philosophy and foundations of mathematics},
language = {eng},
title = {The present state of investigations on the foundations of mathematics},
url = {http://eudml.org/doc/219334},
year = {1955},
}

TY - BOOK
AU - Andrzej Mostowski
TI - The present state of investigations on the foundations of mathematics
PY - 1955
AB - INTRODUCTION A. THEORY OF MATHEMATICAL NOTIONS A1. The axiomatic method A1a. Elementary and non-elementary HyuteniB of axionm A1aa. General definitons A1ab. The general theory of elementary systems A1ac. The notion of categoricity and the theory of non-elementary systems A1b. The axiomatic method applied to concrete mathematical theories A1ba. The arithmetic of natural numbers A1bb. The axiomatic theory of sets A1bc. The axioms of the theory of real numbers A2. Constructive trends in foundations of mathematics A2a. The axiom of constructibility A2b. The ramified theory of types A2c. The computable analysis A2d. The intuitionistic logic General appreciation B. THEORY OF MATHEMATICAL PROOFS B1. The axiomatization of logic B2. The decision problems General appreciation of the present state of the decision problem C. THE THEORY OF RECURSIVE FUNCTIONS AND THE ALGEBRAIC TREND BIBLIOGRAPHY
LA - eng
KW - philosophy and foundations of mathematics
UR - http://eudml.org/doc/219334
ER -

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