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.

• 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