Mayberry, John P.  <br/><br/>
Foundations of mathematics in the theory of sets, Vol. 82 

 - Cambridge:  Cambridge University Press,  2000. 
 - xx, 424 p.;  pb;  24 cm. 
 - Encyclopedia of mathematics and its applications .
<br/><br/> 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.  
<br/><br/><label>ISBN: </label>9780521172714 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Set theory<br/>Arithmetic<br/>Axioms 
<br/><br/><label>Dewey Class. No.: </label>511.3  / MAY