Mathematical thought and its objects
著者
書誌事項
Mathematical thought and its objects
Cambridge University Press, 2008
- : hardback
- : paperback
大学図書館所蔵 件 / 全7件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 343-363) and index
内容説明・目次
内容説明
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.
目次
- Preface
- 1. Objects and logic
- 2. Structuralism and nominalism
- 3. Modality and structuralism
- 4. A problem about sets
- 5. Intuition
- 6. Numbers as objects
- 7. Intuitive arithmetic and its limits
- 8. Mathematical induction
- 9. Reason.
「Nielsen BookData」 より