the improbable yet elementary case  ^{[active draft]  #tbc}

a mathematical paradigmatic mashup—Thomas Kuhn vs map territory vs set theory

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.

the gist: the improbable yet elementary case - the gist

• The improbable yet elementary case (pdf)

• 0 Introduction

• 1 Paradigm, measure, common measure, incommensurability (pdf)

• 2 Map territory (pdf)

• 3 Composition and family (pdf)

• 4 Maps (pdf)

• 5 Territory (pdf)

• 6 Anomaly (pdf)

• 7 Map territory delta, fit (pdf)

• 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