Tuesday, October 3, 2006

Tuesday October 3, 2006

Filed under: General — Tags: — m759 @ 12:00 PM

“Hard lessons lately.”
— Bruce Springsteen

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A belated meditation for Yom Kippur, which ended at sundown yesterday:

“Whatever the shatterings Hopkins felt threatened his and other sacred selves, perhaps precisely because of that threat, he composed the greatest passage on the God-relation of identity since Galatians 2:20….

The aesthetics of truth form alliances, profoundly elective affinities, that the intellect stripped of feeling inclines to reject…. Intellection must address the matter of its feeling.”

— Philip Rieff,
    Sacred Order/Social Order, Vol. 1:
    My Life among the Deathworks:
    Illustrations of the
    Aesthetics of Authority
    University of Virginia Press, 2006.
    256 pages.

Tuesday October 3, 2006

Filed under: General,Geometry — Tags: — m759 @ 9:26 AM


"I don't think the 'diamond theorem' is anything serious, so I started with blitzing that."

Charles Matthews at Wikipedia, Oct. 2, 2006

"The 'seriousness' of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. We may say, roughly, that a mathematical idea is 'significant' if it can be connected, in a natural and illuminating way, with a large complex of other mathematical ideas."

— G. H. Hardy, A Mathematician's Apology

Matthews yesterday deleted references to the diamond theorem and related material in the following Wikipedia articles:

Affine group‎
Reflection group‎
Symmetry in mathematics‎
Incidence structure‎
Invariant (mathematics)‎
Finite geometry‎
Group action‎
History of geometry‎

This would appear to be a fairly large complex of mathematical ideas.

See also the following "large complex" cited, following the above words of Hardy, in Diamond Theory:

Affine geometry, affine planes, affine spaces, automorphisms, binary codes, block designs, classical groups, codes, coding theory, collineations, combinatorial, combinatorics, conjugacy classes, the Conwell correspondence, correlations, design theory, duads, duality, error correcting codes, exceptional groups, finite fields, finite geometry, finite groups, finite rings, Galois fields, generalized quadrangles, generators, geometry, GF(2), GF(4), the (24,12) Golay code, group actions, group theory, Hadamard matrices, hypercube, hyperplanes, hyperspace, incidence structures, invariance, Karnaugh maps, Kirkman's schoolgirl problem, Latin squares, Leech lattice, linear groups, linear spaces, linear transformations, Mathieu groups, matrix theory, Meno, Miracle Octad Generator, MOG, multiply transitive groups, octads, the octahedral group, orthogonal arrays, outer automorphisms, parallelisms, partial geometries, permutation groups, PG(3,2), polarities, Polya-Burnside theorem, projective geometry, projective planes, projective spaces, projectivities, Reed-Muller codes, the relativity problem, Singer cycle, skew lines,  sporadic simple groups, Steiner systems, symmetric, symmetry, symplectic, synthemes, synthematic, tesseract, transvections, Walsh functions, Witt designs.

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