|
科图分类法:
|
O1-0/2 版次： |
|
中图分类法:
|
O1-0 版次： |
|
著者:
|
Rush, Penelope, |
|
题名:
|
Ontology and the foundations of mathematics : [ talking past each other /] / , |
|
出版发行:
|
出版地： Cambridge : 出版社： Cambridge University Press, 出版日期： 2022. |
|
载体形态:
|
46 p. ; 23 cm. |
|
附注:
|
Title from publisher's bibliographic system (viewed on 19 Jan 2022) |
|
附注:
|
Includes index. |
|
内容提要:
|
This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem - the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem - i.e. the problem of how we come to know mathematical truths - then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics. |
|
主题词:
|
Mathematics Philosophy. |
|
索书号:
|
O1-0/2 |