The New York Times this afternoon —
"Lord Mount Charles, an Anglo-Irish peer
turned rock ’n’ roll promoter,
died on June 18 in a hospital in Dublin at 74."
Wednesday, July 9, 2025
Plato’s Thunderdome
For a Slane Castle Dies Natalis
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For a Slane Castle Dies Natalis
For a Slane Castle Dies Natalis
Cameron and the Line
Epilogue by Peter J. Cameron —
"There is a line between the abstract and the concrete,
and any particular piece of mathematics can be positioned
somewhere on that line.
And more seriously, there may be room for considerable
disagreement about where to put it."
— "Semper abstracta?" Conference on Theoretical and
Computational Algebra, Évora, Portugal, 3 July 2025: slides,
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Saturday, June 21, 2025
Boundary Objects* for Rodgers & Hart — Zip!
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Constructing Plato’s “Divided Line”
See as well a 2018 paper from the Journal of the History of Philosophy,
"What Did Glaucon Draw?," by Terry Echterling.
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Friday, June 20, 2025
Wednesday, June 18, 2025
Plato’s “Divided Line” via Euclid’s Similar Triangles
The above figure conceals three "divided lines," each
divided in the same proportion. These three bent divided lines
AHB, BHC, and ABC are each bent at a division point into two
line segments joined at a right angle.
AH BH AB
__ = __ = __ .
HB HC BC
See also yesterday's post Lines.
Update of 7 AM EDT Friday, June 20, 2025 —
Related reading and metadata . . .
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Tuesday, June 17, 2025
Lines
Related geometry . . .
"Drop me a line" — Request attributed to Emma Stone.
Meditation on the dropped line —
Analogous "dividing line" . . .
Related vocabulary: Stoicheia.
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