HIERARCHIES OF DESCRIPTIVE LEVELS IN PHYSICAL THEORY.

Abstract

It is shown that if we attempt to build up a mathematical system for the description of physical phenomena, on the assumption that the essential observations are two-valued, so that the appropriate algebra is the field of char acteristic two, we are led to formulate a hierarchical system. The principal entities in this system are matrices over the field J2 whose orders increase in successive levels. A rule for constructing the various levels of the hierarchy is given, and it is shown that in non-trivial cases the number of levels is always finite. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1961
Accession Number
AD0416504

Entities

People

  • A.f. Parkerrhodes

Tags

DTIC Thesaurus Topics

  • Acquisition
  • Classification
  • Hierarchies
  • Observation
  • Physical Theories

Fields of Study

  • Mathematics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Regression Analysis.
  • Systems Analysis and Design