The foundations of mathematics in the theory of sets [EBook] / J.P. Mayberry.
The foundations of mathematics in the theory of sets [EBook] / J.P. Mayberry.
This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number�...
Personal Name(s):  Mayberry, John P., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2000

Physical Description: 
1 online resource (xx, 424 pages) 
Note: 
englisch 
ISBN: 
9780521770347 9781139087124 9780521172714 
Series Title: 
Encyclopedia of mathematics and its applications ;
volume 82 
Subject (LOC):  
Full Text 
Table of Contents:
 Preliminaries
 Idea of foundations for mathematics
 Simple arithmetic
 Basic set theory
 Semantics, ontology, and logic
 Principal axioms and definitions of set theory
 Cantorian set theory
 Cantorian finitism
 Axiomatic method
 Axiomatic set theory
 Euclidean set theory
 Euclidean finitism
 Euclidean theory of cardinality
 Euclidean theory of simply infinite systems
 Euclidean set theory from the cantorian standpoint
 Envoi.