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Diamond, a paradox logic

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Author(s): Hellerstein, Nathaniel S.
Series: Knots and everything 14
Publisher: World Scientific
Year: 1997

Language: English
Pages: 257
City: Singapore; River Edge, NJ
Tags: Logic, Symbolic and mathematical;Paradox

Content: 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?.