Delta: A Paradox Logic

Nathaniel S Hellerstein (Autor)

Buch | Hardcover

288 Seiten

1997
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3243-6 (ISBN)

Infos

This text is concerned with Delta, a paradox logic. Delta consists of two parts: inner delta logic, which resolves the classical 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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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.

Inhalt

Part 1 Inner delta logic: paradox; ternary logic; ternary algebra; self-reference; fixed point semi-lattices; limit logic; paradox resolved; the continuum. Part 2 Outer delta logic: outer functions; conjugate logics; ternary arithmetic; binary projections; voter's paradox; delta dynamics; diamond; dilemma; speculations.

Produkt-Details

• Reihe/Serie: Series on Knots & Everything ; 16
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 981-02-3243-8 / 9810232438
• ISBN-13: 978-981-02-3243-6 / 9789810232436
• Zustand: Neuware