THE STUDY OF RECURSIVE PROGRESSIONS OF THEORIES

Abstract

Efforts centered on the characterization, by means of recursive progressions of theories, of various stratifications of athematical proof, such as finitist, classical number-theoretical, predicative, etc. This as paired with the study, by means of hierarchies, of various stratifications of mathematical notions, such as finitist function, effective function, predicative set, etc. In an expansion of the original proposal, tho e parts of mat ematics which are needed in a systematic study of the notion of proof were considered; in particular intuitionism, which takes the concept of constructive proof as its basic subject matter. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0267006

Entities

People

  • G. Kreisel
  • S. Feferman

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Classification
  • Hierarchies
  • Stratification

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design