Diamond: A Paradox Logic

"This book should be interesting for everyone, and especially for logicians".Mathematical Reviews, 1999

List of contents

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?.

Product details

• Authors: N. S. K. Hellerstein, Nathaniel Hellerstein, Nathaniel S Hellerstein, Nathaniel S. Hellerstein
• Publisher: World Scientific Publishing Company
• Languages: English
• Product format: Hardback
• Released: 04.01.1997
• EAN: 9789810228507
• ISBN: 978-981-02-2850-7
• No. of pages: 272
• Dimensions: 161 mm x 216 mm x 20 mm
• Weight: 494 g
• Series: Series on Knots & Everything; Knots and Everything
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra