TY  - GEN
AU  - Mayberry, John P. 
TI  - Foundations of mathematics in the theory of sets, Vol. 82
SN  - 9780521172714
U1  - 511.3 
PY  - 2000///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Set theory
KW  - Arithmetic
KW  - Axioms
N2  - 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' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion.
ER  -