Series on Knots and Everything - Vol. 16
DELTA
A Paradox Logic
by N S K Hellerstein (Lincoln University, USA)
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.
Contents:
- Inner Delta Logic: Paradox
- Ternary Logic
- Ternary Algebra
- Self-Reference
-
Fixedpoint Semi-Lattices
- Limit Logic
- Paradox Resolved
- The Continuum
- Outer Delta Logic: Outer Functions
- Conjugate Logics
- Bivalent Projections
- Ternary Arithmetic
- Voter's Paradox
- Delta Dynamics
- Beyond Delta Logic: Diamond
- Dilemma
- Speculations
Readership: Mathematicians and computer scientists.
| 288pp |
Pub. date: Dec 1997 |
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