a paradigmatic mashup—thomas kuhn vs map territory vs set theory

active draft. a technical sketch. general, before special —alignment, before distraction

a reinterpretation of thomas kuhn’s ‘on the structure of scientific revolutions’, through the lens of set-theory(-ish) mathematics

note: consider all set-theory as pseudo-set-theory; a means for a novice mathematician to express ideas in less time and fewer words, than a similarly novice writer might, in prose.

all terms are tentative. corrections $\land \lor$ advice, welcome.

  • 0 Introduction
  • 1 Paradigm, measure, common measure, incommensurability | @pdf
  • 2 Map territory
  • 3 Composition and family
  • 4 Maps
  • 5 Territory
  • 6 Anomaly
  • 7 Map territory delta, fit
  • 8 Universal map territory
  • 9 Time and change
  • 10 Universal composition
  • 11 Alignment
  • 12 Evolution
  • 13 Fabric
  • 14 The simplest explanation
  • 15 Synthetic fabric
  • 16 Unification