§ canon / I
mathematics
in progress25 entries· 6 sub-folders· 10 figures· 35 claim cards
The mathematics canon holds axioms, primary definitions, and foundational derivations of mathematics: the foundations of geometry, the foundations of arithmetic and number theory, the rigorous foundations of analysis, the structural foundations of algebra, set theory and the foundations of logic, the foundations of topology, the foundations of differential geometry, the axiomatic foundation of probability, the structural foundation of functional analysis, and category theory as the modern language of structure-preserving maps. It also holds the discipline-standard normative reference works that
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
Claim cards· 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
category-theory
CANON_INDEX.md
category-theory
queries.txt
category-theory
primary-papers.yaml
category-theory
primary-papers.bib
category-theory
General theory of natural equivalences
1945
computability
CANON_INDEX.md
computability
queries.txt
computability
primary-papers.yaml
computability
primary-papers.bib
computability
On Computable Numbers, with an Application to the Entscheidungsproblem
godel
CANON_INDEX.md
godel
queries.txt
godel
primary-papers.yaml
godel
primary-papers.bib
godel
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
probability-foundations
CANON_INDEX.md
probability-foundations
queries.txt
probability-foundations
primary-papers.yaml
probability-foundations
primary-papers.bib
probability-foundations
Grundbegriffe der Wahrscheinlichkeitsrechnung
set-theory
CANON_INDEX.md
set-theory
queries.txt
set-theory
primary-papers.yaml
set-theory
primary-papers.bib
set-theory
THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS