Math with Bad DrawingsCartoon Archive

The First Axioms

2024

A big-bang scene of Peano axioms coalescing into proofs that are immediately 'left as exercises for the reader.'

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-01-01-the-first-axioms/ (CC BY-NC 4.0)
Transcript

[A cosmic swirl of symbols: x = x, if n ∈ ℕ then S(n) ∈ ℕ, S(n) ≠ 0, if x = y then y = x, 2 := 1 + 1…]

[Caption] "Less than 10⁻³⁰ seconds after the big bang, the first axioms began to coalesce into simple proofs, which were immediately left as exercises for the reader."

Topics
Logic & Proof › Axioms › Peano AxiomsLogic & Proof › Proofs & TheoremsScience › Astronomy › Cosmology
Level
High SchoolCollege
Themes
Nature & ScienceMath CultureSelf-Reference