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Workshop season · 30 days

19th-Century Britain & Ireland — The Century of Logic

From quaternions to Boolean algebra, from matrices to the four-color problem. Over 30 days, follow ideas exchanged among Britain, Ireland, and continental Europe. Hamilton conceived quaternion multiplication on a walk, Boole expressed logical relations algebraically, and Lovelace explored what a symbolic engine might do. The finale asks how these currents later met computing.

Start anywhere. Every reading remains available after the season ends.

  1. Day 1

    William Rowan Hamilton

    Season opens — conceiving the quaternion relation on a Dublin walk

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  2. Day 2

    Vectors and Matrices

    Vectors and matrices — languages of space that grew alongside quaternions

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  3. Day 3

    Dimension

    Dimension itself — Hamilton and Riemann's leap

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  4. Day 4

    Ada Lovelace

    A table often regarded as the first published algorithm for a computing machine, London 1843

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  5. Day 5

    The 1200-Year Journey of the Word "Algorithm"

    The 1200-year journey of the word algorithm

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  6. Day 6

    George Boole

    Algebra for relations among true and false statements — a self-educated teacher from Lincoln

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  7. Day 7

    Boolean Algebra

    Boolean Algebra — The Laws of Thought, 1854

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  8. Day 8

    Set Theory

    Set theory — the formalization after Boole

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  9. Day 9

    Arthur Cayley

    Cayley the London lawyer — systematizing matrix algebra in 1858

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  10. Day 10

    Group Theory

    Group theory — Britain takes up Galois's spark

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  11. Day 11

    Galois's Brief Life — A Genius at 20

    Galois’s manuscripts — the last-night myth and the longer research process

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  12. Day 12

    Galois Theory

    Galois Theory — why the quintic resists

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  13. Day 13

    Graph Coloring

    1852 London: a student's four-color conjecture

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  14. Day 14

    Fermat's Last Theorem — A 358-Year Margin

    The 358-year margin — Britain chases Fermat

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  15. Day 15

    Knot Theory

    Knots as mathematics — Lord Kelvin's 1867 atomic theory

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  16. Day 16

    Inclusion-Exclusion Principle

    Inclusion-exclusion — Sylvester's British combinatorics

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  17. Day 17

    Vector Calculus

    The vector calculus that let Maxwell's equations speak

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  18. Day 18

    Non-Euclidean Geometry

    Parallel lines meet — the biggest shock of the century

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  19. Day 19

    Manifold

    Riemann's 1854 lecture — birth of the manifold

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  20. Day 20

    Bernhard Riemann

    Riemann — rethinking space and primes at Göttingen

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  21. Day 21

    Riemann Hypothesis — The Enduring Question in a Six-Page Manuscript

    The Riemann Hypothesis — six pages, a century and a half

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  22. Day 22

    Riemann Hypothesis — The Hunt Since 1859

    165 years of chasing — a 60-second cinematic

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  23. Day 23

    Complex Analysis

    Complex analysis — Riemann's playground

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  24. Day 24

    Georg Cantor

    Cantor — infinity is not one thing

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  25. Day 25

    Cantor's Infinity — What He Saw But Did Not Believe

    Infinity even its discoverer doubted

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  26. Day 26

    Continuum Hypothesis — Proven Independent of ZFC

    The Continuum Hypothesis — independent of ZFC

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  27. Day 27

    Four Color Theorem

    1976 — the first famous theorem proved with extensive computer assistance, 124 years later

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  28. Day 28

    Statistics and Inference

    Statistics — Britain in medicine and biology

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  29. Day 29

    The Path of Women in Mathematics — 1600 Years of Challenge

    1600 years of women mathematicians — Lovelace in lineage

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  30. Day 30

    Alan Turing

    From seed to computer — Britain 90 years after Boole

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