TY  - BOOK
AU  - Parsons,Charles
TI  - Mathematical thought and its objects
SN  - 9780511498534 (ebook)
AV  - QA8.4 .P366 2008
U1  - 510.1 22
PY  - 2008///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematics
KW  - Philosophy
KW  - Object (Philosophy)
KW  - Logic
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511498534
ER  -