Glen -
... I think I was both supported and ruined by computers in
that they let me "do algorithms" in the way I think I always imagined I would
"do math".

This depends, of course, on what you mean by "math". The kind I sometimes get engrossed in ends up pure symbol manipulation.
in the spirit of the "other thread", "math" is extremely overloaded. I'd guess that to 90% of the population "math" is "arithmetic". To most with advanced technical education, I find "doing math" means "using math", usually linear algebra, maybe some geometry, maybe some calculus... or one of the many specialized subdomains of applied mathematics that gets used to leverage sticky technical problems up out of the holes they like to settle into. Markov processes, fourier analysis, vector analysis, matrix manipulation, etc...

I myself live in this domain. For a long time, however, I had the benefit of working around people who occasionally actually "did math"... exploring the elaboration of math... perhaps "making math" is a better term. My latest stint in this environment involved the extension of category theory for the purpose of applying it to neural models of cognition (developing models of cognition based on neural-style circuitry with a *lot* of esoteric category theory mumbling that I literally could not follow)... my place was simply to help add intuition and develop visualization tools to leverage how we might look at and discuss the models they would build. It's a defunct project now, but there is a book on the subject being written by the PIs of the original project. Doing Math (or Making Math?) seems to be staggeringly slow and painful. Despite a BS in Math and a handful of grad courses in pure math, I can't say I ever was a mathematician, and I find real mathematicians rare to find.

But I *really* do enjoy applied math... both in the sense of developing formal models of systems based on "real" mathematics and in the sense of developing algorithms based on such models and using complexity theory to sort out the expected space-time performance envelope of same.
I don't really play any instruments. But I've dabbled enough to get the same (very similar) feeling as when "doing math". It ends up being a kind of meditation, embracing the Id. As with math, I've never achieved any objectives with music. But I do have a lot of fun in those "emergent" groups where anyone's welcome to join in. There tends to be mostly drums. But there's always a subset of people with good improvising instruments like the sax, trumpet, flute, trombone, etc. to provide an ethereal fluidity that floats and bounces atop the more -urgic drums. It gets interesting when the group crosses the 10-15 participant threshold.
Don't make Doug get out his Sax and wail on it here!

I have to admit to really enjoying being in the presence of a jam session.... I myself can barely play a record despite an early career as a DJ, and it takes me an average of 3 tries to get a CD into a player correctly... and no matter what I do with Pandora, it wanders off playing things for me I would never want to hear, much less be caught listening to <http://xkcd.com/668/>!

My partner in Musification (PhD Composer with patents in translating data into music) can attest that any theoretical understanding I have of some musical topics doesn't begin to translate to anything like doing music. In the analogy with Math, it is like I have learned Arithmetic up through summing fractions and can occasionally multiply or divide by 10 without a calculator. Our current project involves quorum sensing.
I've found that objective-oriented musicians either don't grok or are irritated by those groups. And, I admit that if you're not capable of sedating your ego, there's plenty to get upset about. I have yet to attend a psytrance rave. But I suspect they lead to a similar state, but perhaps more kinesthetic.
I did like David Stout's (David, are you still on this list?) musical installation team/group known as "Noise Fold". It made me think of the terms "Fold, Spindle and Mutilate". I think it takes a lot of patience, immersion, or maybe altered states to properly enagage (much less enjoy?) a lot of this kind of "music". Far be it from me to discount something I simply don't have a visceral understanding of.

I feel that I am impoverished for never developing a first-person experience of music beyond singing along in the car to oldies and tapping my foot (roughly) to the rhythm of a catchy tune.

- Steve
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