Mathematics and Metamathematics

This section includes any texts related to mathematics - mostly the methodology of mathematics, but also assorted notes and observations of a scientific character. Systems theory and cybernetics have been included in this section too, since they serve here to reflect on the foundations of mathematics, rather than as separate sciences. The questions related to logic have been put in a special section, since they are more general, belonging to philosophy rather than science; still, the structure of the Web is convenient enough to establish the links between the two domains.

Online papers

• Computability in Developing Systems
  [HTML] [MS Word, ZIP] [PDF]
• Qualitative complexity
  [HTML] [MS Word, ZIP] [PDF]
• Dynamical computing, communication and hierarchical inference
  [HTML] [MS Word] [PDF]

Applied models

• A Mathematical Model of Scale Perception
  [MS Word] [MS Word, ZIP] [PDF]
• Art as creative communication
  [HTML, English] [MS Word, English] [PDF, English] [HTML, Russian] [MS Word, Russian] [PDF, Russian]
• Nonlinear art
  [HTML, English] [MS Word, English] [PDF, English] [MS Word, Russian] [PDF, Russian]

Assorted notes

• Sets vs. Boolean algebra [HTML]
• Fuzzy sets and relativistic velocity addition [MS Word] [PDF]
• Comments on "Visualization of the Continuum Problem and Mirror Symmetric Proofs in the Transfinite Numbers Theory" by A.Zenkin [MS Word] [PDF]
• Comments on "Fatal Mistake of Georg Cantor" by A.Zenkin [MS Word] [PDF]
• Notes on the margins [MS Word]