The Fourth Law of Logic.

Abstract

Treating an element of a set as a monocularly perceived entity and accounting for the individual intervals of time used in the perceptions involved in a logic statement, the author demonstrates a simple method for comprehending the identity of opposites, by means of binocular perception n a single monocular frame. He further demonstrates that the present three laws of logic as written are self-contradictory, hence illogical. By writing the time-accounted form of the identity of opposites as a fourth law of logic, the author shows that the four-law system is closed, since the fourth law contains the negation of each of the first three laws. By defining a paradox as smoething known to be valid but which can be shown to violate one or more of the first three laws of logic, every paradox must therefore be a statement of the fourth law. At least hypothetically, any paradox can thus be 'solved' by appropriate application of the fourth law. The author shows two simple methods of applying the fourth law, and solves several long-standing paradoxes such as how lines (lengths) can be made of points (nonlengths), the problem of change, the problem of the definition of probability, and statements such as 'It is true that this statement is false'.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068987

Entities

People

  • Thomas E. Bearden

Organizations

  • Computer Sciences Corporation

Tags

Communities of Interest

  • Counter IED
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accounting
  • Binoculars
  • Geometry
  • Identities
  • Intervals
  • Logic
  • Mathematics
  • Observation
  • Observers
  • Perception
  • Philosophy
  • Physics
  • Probability
  • Quantum Mechanics
  • Set Theory
  • Time Intervals
  • Uncertainty Principle

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.