Del 23 i serien SERIES ON KNOTS AND EVERYTHING

DIAMOND: A PARADOX LOGIC (2ND EDITION)

Inbunden, Engelska, 2010

1 989 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

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. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer–Brown “modulator”; and Metamathematical Dilemma, which relates diamond to Gödelian metamathematics and dilemma games.

Produktinformation

Utgivningsdatum2010-01-27
Mått157 x 235 x 21 mm
Vikt608 g
FormatInbunden
SpråkEngelska
SerieSERIES ON KNOTS AND EVERYTHING
Antal sidor314
Upplaga2
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789814287135

Tillhör följande kategorier

Matematikens grunder inom Naturvetenskap och teknik

Paradox: Russell's Paradox; Santa Sentences; Antistrephon; Game Paradoxes; Paradox of the Boundary; Diamond: Diamond Values; Harmonic Functions; Diamond Circuits; Brownian Forms; Diamond Algebra: Bracket Algebra; Laws; Normal Forms; Completeness; Self-Reference: Re-entrance and Fixedpoints; Phase Order; The Outer Fixedpoints; Fixedpoint Lattices: Relative Lattices; Seeds and Spirals; Shared Fixed-Points; Limit Logic: Limit Fixedpoints; the Halting Theorem; Paradox Resolved: Russell's Paradox; Santa Sentences; Antistrephon; Game Paradoxes; The Continuum: Cantor's Paradox; Dedekind Splices; Zeno's Theorem; Fuzzy Chaos; Clique Theory: Cliques Defined; Clique Axioms; Graph Cliques; Clique Circuits; Orthogonal Logics: Analytic Functions; Star Logic; Harmonic Projection; Interferometry: Quadrature; Diffraction; Buzzers and Toggles; How to Count to Two: Brownian and Kauffman Modulators; Diffracting the Modulators; Rotors, Pumps and Tapes; the Ganglion; Metamathematics: Godelian Quanta; Meta-Logic; Dialectical Dilemma; Dilemma: Milo's Trick; Prisoner's Dilemma; Dilemma Diamond; Banker's Dilemma; The Unexpected Departure.

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Del 23 i serien SERIES ON KNOTS AND EVERYTHING

DIAMOND: A PARADOX LOGIC (2ND EDITION)

Inbunden, Engelska, 2010

AvN S Hellerstein

1 989 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Produktinformation

Utgivningsdatum2010-01-27
Mått157 x 235 x 21 mm
Vikt608 g
FormatInbunden
SpråkEngelska
SerieSERIES ON KNOTS AND EVERYTHING
Antal sidor314
Upplaga2
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789814287135

Tillhör följande kategorier

Matematikens grunder inom Naturvetenskap och teknik

Paradox: Russell's Paradox; Santa Sentences; Antistrephon; Game Paradoxes; Paradox of the Boundary; Diamond: Diamond Values; Harmonic Functions; Diamond Circuits; Brownian Forms; Diamond Algebra: Bracket Algebra; Laws; Normal Forms; Completeness; Self-Reference: Re-entrance and Fixedpoints; Phase Order; The Outer Fixedpoints; Fixedpoint Lattices: Relative Lattices; Seeds and Spirals; Shared Fixed-Points; Limit Logic: Limit Fixedpoints; the Halting Theorem; Paradox Resolved: Russell's Paradox; Santa Sentences; Antistrephon; Game Paradoxes; The Continuum: Cantor's Paradox; Dedekind Splices; Zeno's Theorem; Fuzzy Chaos; Clique Theory: Cliques Defined; Clique Axioms; Graph Cliques; Clique Circuits; Orthogonal Logics: Analytic Functions; Star Logic; Harmonic Projection; Interferometry: Quadrature; Diffraction; Buzzers and Toggles; How to Count to Two: Brownian and Kauffman Modulators; Diffracting the Modulators; Rotors, Pumps and Tapes; the Ganglion; Metamathematics: Godelian Quanta; Meta-Logic; Dialectical Dilemma; Dilemma: Milo's Trick; Prisoner's Dilemma; Dilemma Diamond; Banker's Dilemma; The Unexpected Departure.