category-theory
primary-papers.yaml
§ canon / I
mathematics
in progress25 entries· 6 sub-folders· 10 figures· 35 source excerpts
Axioms, definitions, proofs. Canon holds only the primary derivations — the places a real proof was first written down — not commentary on them.
Figures· 10 canonical
Euclid of Alexandria
c.325-c.265 BCE · Alexandria, Ptolemaic Egypt · Greek geometry
axiomatic-methodgeometryproof
Archimedes of Syracuse
c.287-c.212 BCE · Syracuse · Greek geometry & mechanics
exhaustionlimitquadrature
Brahmagupta
598-668 CE · Bhillamala, Gurjara kingdom · Indian mathematics
zeronegative-numbersquadratic
Muḥammad ibn Mūsā al-Khwārizmī
c.780-c.850 CE · Baghdad, House of Wisdom · Arabic mathematics
algebraalgorithmdecimal-numerals
Carl Friedrich Gauss
1777-1855 · Göttingen · German mathematics
number-theorydifferential-geometryleast-squares
Évariste Galois
1811-1832 · Paris · French mathematics
group-theorysymmetrysolvability
Bernhard Riemann
1826-1866 · Göttingen · German mathematics
riemannian-geometryzeta-functionmanifold
Georg Cantor
1845-1918 · Halle · German set theory
set-theorycardinalitydiagonal-argument
David Hilbert
1862-1943 · Göttingen · German mathematics
formalismaxiomatic-geometryhilbert-problems
Kurt Gödel
1906-1978 · Vienna, Princeton · Mathematical logic
incompletenessself-referencegodel-numbering
Source excerpts· 35 across 9 concepts
topology· 18
- coming from the the 1980s on is is the quantum field theory would have been disc
- always more and more matter as the events are updated this manifold grows and gr
- from general topological reasons that there's got to be one somewhere and that w
- the 14 manifold behaves like a three manifold, three is magical, just a magical
- So I'll give you an example.
- particle was this topological structure that has this or that form, then we shou
- + 12 more →
chaos theory· 4
- jobs knew about it and I want you to think about the crazier implications is her
- thing to think about because what I'm trying to say is that small little um stim
- founder of chaos theory he posed this question once he said is it possible that
- patterns uh a month later okay tiny perturbations of initial conditions can lead
fractal· 3
godel· 2
golden ratio· 2
group theory· 2
set theory· 2
Entries
25 of 25
computability
On Computable Numbers, with an Application to the Entscheidungsproblem
godel
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
probability-foundations
Grundbegriffe der Wahrscheinlichkeitsrechnung