Diamond : a paradox logic
著者
書誌事項
Diamond : a paradox logic
（Series on knots and everything, v. 14）
World Scientific, c1997
大学図書館所蔵 件 / 全23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
内容説明・目次
内容説明
This book is about “diamond”, a logic of paradox. In diamond, a statement can be true yet false; an “imaginary” state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, Gödelian meta-mathematics and dilemma games.
目次
- Part 1 Paradoxes: Russell's paradox
- Heap paradoxes
- game paradoxes. Part 2 Diamond: diamond values
- harmonic functions
- diamond circuits
- Brownian forms. Part 3 Diamond laws. Part 4 Self-reference: re-entrance and fixed points
- phase order
- the outer fixed points. Part 5 Fixed point lattices: relative lattices
- shared fixed points. Part 6 Limit logic: limit fixed points
- diamond computation. Part 7 Paradox resolved: Russell's paradox
- Santa sentences
- antistrephon
- Heap paradoxes
- game paradoxes. Part 8 The continuum: Cantor's paradox
- Dedekind splices
- Zeno's theorem. Part 9 Analytic functions - harmonic analysis - 3-logic metamathematics - dilemma: prisoner's dilemma
- dilemma as diamond metric
- banker's dilemma. Part 10 Speculations: diamond types?
- null quotients?
- general lattices?
- general waves?.
「Nielsen BookData」 より
