mathematical noology

Ever-Growing Electronic Publication

Mathematical Noology

Intellect Machines, Logic, Tongues and Algebra

This monograph will unite and reorganize the manuscripts and papers below. It also serves as an abridged version of the Japanese original, which has wider scope and so is entitled Mathematical Psychology, while noology is the science of intellectual phenomena according to Webster's Revised Unabridged Dictionary, 1913.

• Sample file of the monograph (tentative and to be updated irregularly to grow into a mature sample file. So far Chapters 1 and 2 have been uploaded.)
• Full file of the monograph will be available by request.
• My manuscripts to be united and reorganized:
  • Theory of completeness for logical spaces
    • The journal version(Logica Universalis 3, 2009, 243--291)
      • Extracts from reviewer's reports
  • From logical systems to logical spaces
  • Case logic for mathematical psychology I
  • Embedding first-order predicate logic in monophasic case logic
  • A completeness theorem for monophasic case logic
  • Case logic for mathematical psychology II
    • sample file
  • Embedding Kripkean modal logic in asymmetric bipartible case logic
  • Completeness, models and classes in case logic
  • Self-cognizance and incompleteness of the self
  • Certain earlier versions in UTMS Preprint Series 2008
• Collaborator's papers to be introduced
  • Yasuaki Mizumura: Ronri taikei MCL no kanzensei (The completeness of the logical system MCL), Master's thesis, Graduate School Math. Sci., Univ. Tokyo, 2000.
  • Yohsuke Takaoka: On existence of models for the logical system MPCL, UTMS Preprint Series 2009-24

List of papers on finite group theory and certain of their files