Parsons, Charles,  1933- <br/><br/>
Mathematical thought and its objects / 
 Mathematical Thought & its Objects 
Charles Parsons. 
 - Cambridge :  Cambridge University Press,  2008. 
 - 1 online resource (xx, 378 pages) :  digital, PDF file(s). 
<br/><br/> Title from publisher's bibliographic system (viewed on 05 Oct 2015). 
<br/><br/>Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason. 
<br/><br/> Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite. 
<br/><br/><label>ISBN: </label>9780511498534 (ebook) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics--Philosophy.<br/>Object (Philosophy)<br/>Logic.
<br/><br/><label>LC Class. No.: </label>QA8.4  / .P366 2008 
<br/><br/><label>Dewey Class. No.: </label>510.1