A Conditional Criterion for Identity, Leading to a Fourth Law of Logic

Abstract

By applying temporal accounting to each perceptual operation, the author shows that Aristotle's three laws are self-contradictory and incomplete, as written (i.e., they are topological, not chronotopological). A simple derivation of a fourth law is shown and an applications rule given which itself may be regarded as a fifth law of logic. The resulting four-law logic is chronotopological, and the applications rule states that either Aristotle's three laws apply explicitly and the fourth law is implicit, or the fourth law applies explicitly and Aristotle's three laws are implicit. The four-law chronotopological logic is theoretically capable of resolving every present three-law paradox.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA071032

Entities

People

  • Thomas E. Bearden

Organizations

  • Computer Sciences Corporation

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accounting
  • Algorithms
  • Collapse
  • Detection
  • Geometry
  • Mathematics
  • Mechanics
  • Mental Processes
  • Perception
  • Physics
  • Quantum Mechanics
  • Thinking
  • Three Dimensional
  • Time Intervals
  • Topology
  • Two Dimensional
  • Wave Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Linguistics
  • Government Contracting/Procurement.