Nathaniel S Hellerstein's Books

Diamond: A Paradox Logic (2nd Edition)

By: Nathaniel S Hellerstein

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Diamond: A Paradox Logic (2nd Edition)

By: Nathaniel S Hellerstein

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.

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Page Count

311

Publisher

World Scientific

Published Date

ISBN 10

9814466832

ISBN 13

9789814466837

Delta: A Paradox Logic

By: Nathaniel S Hellerstein

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Delta: A Paradox Logic

By: Nathaniel S Hellerstein

This book is about “delta”, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta's imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell's, Cantor's, Berry's and Zeno's.Delta has three parts: “inner delta logic”, covering “Kleenean logic”, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter's paradox; and “beyond delta logic”, covering four-valued logic and games.

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Page Count

290

Publisher

World Scientific

Published Date

ISBN 10

9814497037

ISBN 13

9789814497039

Diamond: A Paradox Logic

By: Nathaniel S Hellerstein

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Diamond: A Paradox Logic

By: Nathaniel S Hellerstein

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.

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Page Count

271

Publisher

World Scientific

Published Date

ISBN 10

9814498262

ISBN 13

9789814498265

Diamond

A Paradox Logic

By: Nathaniel S. Hellerstein

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Diamond

A Paradox Logic

By: Nathaniel S. Hellerstein

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 Gdelian metamathematics and dilemma games.

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Page Count

311

Publisher

World Scientific

Published Date

ISBN 10

981428713X

ISBN 13

9789814287135

Delta

A Paradox Logic

By: Nathaniel Hellerstein

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Delta

A Paradox Logic

By: Nathaniel Hellerstein

This book is about "delta", a paradox logic. In delta, a statement can be true yet false; it is an "imaginary" state, midway between being and non-being. Delta's imaginary value solves many logical dilemmas unsolvable in two-valued Boolean logic. Delta resolves these paradoxes -- Russell's, Cantor's, Betty's and Zeno's. Delta has two parts: inner delta logic, or "Kleenean logic", which resolves the classic paradoxes of mathematical logic; and outer delta logic, which relates delta to Z mod 3, conjugate logics, cyclic distribution, and the voter' paradox.

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Page Count

290

Publisher

World Scientific

Published Date

ISBN 10

9810232438

ISBN 13

9789810232436

Book's by Nathaniel S Hellerstein

Diamond: A Paradox Logic (2nd Edition)

Diamond: A Paradox Logic (2nd Edition)

Delta: A Paradox Logic

Delta: A Paradox Logic

Diamond: A Paradox Logic

Diamond: A Paradox Logic

Diamond

Diamond

Delta

Delta

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