Logic Proof-Sketches in Rhymed verse
Has rhymed sketchy outlines of the diagonalization lemma, Gödel’s first theorem, and the Gödel-Rosser theorem.
I gave a 45 minute talk on some topics relating mathematics and music theory (basic Helmholtz, with a brief description of the American and Zurich schools), an outline of the topics involved, as well as an annotated bibliography on the literature in the field can be found [HERE]
Forms and denotators are the language of choice for the music-theorist Guerino Mazzola. I’ve been in the process of writing up a brief explanation/introduction to them, and enough of it is written (10 pages) for me to post it (all that’s missing are one or two fully worked out examples). I didn’t know if I should put it in the maths section, computers section, or music section…but I plomped for the music section (who knows, some day I might add enough on so that it actually contains some proper music-theory :) ).
An introduction to Forms and Denotators: PDF or Postscript.
I thought some generic manifoldesque illustrations were in order for Mazzola’s Composition structures.
icecube@maths.tcd.ie, ca. 2000/2001
1> This is a guide in 2 Parts.
2> Part one deals with composing theory & harmony.
3> Part two is an exercise in reading the null byte (or e for all you linguists out there : ) )
4> Points marked with a \\ instead of a > are strictly useless to people interested in functional music making, but interesting nevertheless.
5> It starts off a little abstract/general, but I use fruity loops for examples later on.
6> Loads of thanks to the people who made fruity loops. All images used in this document are from it, and are property of Image-Line software!
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Arnold Schönberg
Arnold Schoenberg (1874-1951) had without a doubt one of the greatest and profound effects on music that ever there were … he is a true genius in every sense of the word (and certainly not merely some Avantgarde composer with an idea that caught on). His work on atonal music gave him a profound understanding of tonality, and his writings on composition are amongst the most important there are.
[Snipped out pretentious passage, which rambled on about Euler’s work in music theory].
Euler *is* the man.
(yes, Leonhard Euler)
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