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The Foundations of Mathematics in the Theory of Sets Book

The Foundations of Mathematics in the Theory of Sets
The Foundations of Mathematics in the Theory of Sets, This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of n, The Foundations of Mathematics in the Theory of Sets has a rating of 3 stars
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The Foundations of Mathematics in the Theory of Sets, This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of n, The Foundations of Mathematics in the Theory of Sets
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  • The Foundations of Mathematics in the Theory of Sets
  • Written by author John P. Mayberry
  • Published by Cambridge University Press, January 2011
  • This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of "n
  • This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
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Preface;
Part I. Preliminaries:
1. The idea of foundations of mathematics;
2. Simple arithmetic;
Part II. Basic Set Theory:
3. Semantics, ontology and logic;
4. The principal axioms and definitions of set theory;
Part III. Cantorian Set Theory:
5. Cantorian finitism;
6. The axiomatic method;
7. Axiomatic set theory;
Part IV. Euclidean Set Theory:
8. Euclidian finitism;
9. The Euclidean theory of cardinality;
10. The theory of simply infinite systems;
11. Euclidean set theory from the Cantorian standpoint;
12. Envoi; Appendices; Bibliography; Index.


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The Foundations of Mathematics in the Theory of Sets, This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of n, The Foundations of Mathematics in the Theory of Sets

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The Foundations of Mathematics in the Theory of Sets, This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of n, The Foundations of Mathematics in the Theory of Sets

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The Foundations of Mathematics in the Theory of Sets, This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of n, The Foundations of Mathematics in the Theory of Sets

The Foundations of Mathematics in the Theory of Sets

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