Thursday, October 12, 2023
Friday, January 13, 2023
The Not-So-Hidden Figure
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LMS Gresham
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Posted on 13/01/2023 by Peter Cameron My last major job at Queen Mary University of London more than ten years ago was designing and presenting a new first-semester first-year module to be taken by all students on mathematics programmes or joint programmes involving mathematics. I discussed it in my LMS-Gresham lecture. |
LMS
Gresham
"… seeds having fallen on barren rock, as it were" . . .
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Darkness at Noon: Game of Stones*
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The “Diamond Space” of Mazzola
The Source —
Some similar notions from my own work . . .
The "Digraph" of Mazzola might correspond to a directed graph
indicating the structure of a permutation, as at right below —
Mazzola's "Formula" might correpond to a matrix and translation that
transform the above "Space" of eight coordinates, and his "Gesture"
to a different way of generating affine transformations of that space . . .
as in my webpage "Cube Space, 1984-2003."
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Dürer, Music, and Doktor Faustus
The previous post and Mann's Doktor Faustus in this journal
suggest a look at . . .
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Wednesday, June 1, 2022
The Yearning
"… every sufficiently good analogy is yearning to become a functor."
— John Baez, 2004: "Lessons from Topological Quantum Field Theory"
Related images — Quoting scripture at The Master's University
on Jan. 31, 2017 —
… and some images (re)posted here on that same date — Jan. 31, 2017:
A related analogy — Between (1) and (2) below —
-
A right triangle A as the sum of two smaller,
inner, right triangles B and C, each similar to A . -
The square on the longest side of A as the sum
of the squares on the longest sides of B and C.
Exercise for Baez fans: Express the above analogy as a functor.
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Tuesday, May 31, 2022
A Mad Night’s Work*
Last night's posts on triangles, and today's anniversary of the
death of Evariste Galois, suggest a review . . .
"Take triangles, perhaps" . . . as a category.
And then . . . take squares, perhaps, as another category,
and then . . . find a suitable "translation machine."
See "Square Triangles."
* Title adapted from a 2001 essay by Pierre Cartier.
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Sunday, May 29, 2022
Monday, May 23, 2022
Church Socials: Class Act*
* Alternate title:
"Time Is a Weapon,
or 4:45 Meets 8:38."
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Sunday, May 22, 2022
“Church Socials”* Continues . . .
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Friday, May 13, 2022
Annals of Numerology: Zero Dark 56
The above title is a reference to the time of the previous post.
Nightmare Alley fans may enjoy . . .
Those who prefer pure mathematics to entertainments of this sort
may meditate on the geometric properties of the number 56.
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“Program or Be Programmed” continues . . .
Byron Gogol's "Dutton" remark suggests a search for that term
in this journal. That search, and tonight's previous post, suggest
a passage on magic and mysticism published by Dutton in 1911 —
"The fundamental difference between the two is this:
magic wants to get, mysticism wants to give […]
In mysticism the will is united with the emotions in
an impassioned desire to transcend the sense-world
in order that the self may be joined by love to
the one eternal and ultimate Object of love […]
In magic, the will unites with the intellect in an
impassioned desire for supersensible knowledge.
This is the intellectual, aggressive, and scientific
temperament trying to extend its field of consciousness
[…] (Underhill 84; see also 178ff.)"
The reference above is to Underhill, Evelyn:
Mysticism: A Study in the Nature and Development
of Man’s Spiritual Consciousness.
New York: Dutton, 1911.
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