CAG@LOCS#31
I'm beginning to take precautions. I'm still (still) waiting for hobbes to get through the primary decomposition i began over a week ago, but the smaller example i started yesterday (which, unbeknownst to me at the time, exhibits the same reducibility in the ideal as the other) finished within the day and spat out a (single) maximum-dimensional component generated by some familiar determinants (trivial shuffles) and shuffles plus some brand-spanking new equations. (My first reaction was predictable: I began whining internally about how right Austin was, that so many mathematicians today could not have been what they are in previous eras due to poverty, backstabbing, or, in my case, computers. Given a year i might have been clever enough to come up with these on my own, but now we'll never know.) These new, more general "shuffles", hereafter snuffles, easily generalize to a narrow class of equations appearing in the "least steep" (or steepest, depending on your perspective) part of an MASV, between the first and second essential pivots. The natural question is then what similar generalized equations appear in other regions of an MASV . . . and this has kept me busy most of the afternoon. Of course, the smallest example to exhibit interesting structure in the next region over (down) is far beyond the capabilities of hobbes, so unless i'm granted some System X time soon, i'll have to take my own cleverness a level beyond its most recent failure.
While scribbling on the blackboard today i noticed myself almost habitually suppressing thoughts not of immediate connection to the equations, and it occurred to me how little i've heard of people averting their thoughts from certain places to the extent that i have since as far back as i can remember. I suspect that believers in an omniscient deity think their minds subject to scrutiny and keep their thoughts in check for this reason, but i've never felt such a way. Rather, for a very long time i've been something of a "thought activist", redirecting my thoughts when i find them focused on attraction to people, pop music, junk food, and other such indulgences, but oddly noticeably less when they dwell on death, murder, revenge, and other more condemnable but philosophically interesting base desires. Unless i'm radically misinterpreting myself, the things i divert myself from more are the things i wish i hadn't been preoccupied with in the first place. Any thoughts?
I had an espresso at Bollo's just now, partially to cut down my coffee expenses and partially to begin "tak[ing] off the training wheels", as the guy at The Easy Chair once put it. It wasn't as horrible as my last one almost a year ago, but still much less even than tasty. Give it another year, though, and my addiction may become financially negligible. I hope.
While scribbling on the blackboard today i noticed myself almost habitually suppressing thoughts not of immediate connection to the equations, and it occurred to me how little i've heard of people averting their thoughts from certain places to the extent that i have since as far back as i can remember. I suspect that believers in an omniscient deity think their minds subject to scrutiny and keep their thoughts in check for this reason, but i've never felt such a way. Rather, for a very long time i've been something of a "thought activist", redirecting my thoughts when i find them focused on attraction to people, pop music, junk food, and other such indulgences, but oddly noticeably less when they dwell on death, murder, revenge, and other more condemnable but philosophically interesting base desires. Unless i'm radically misinterpreting myself, the things i divert myself from more are the things i wish i hadn't been preoccupied with in the first place. Any thoughts?
I had an espresso at Bollo's just now, partially to cut down my coffee expenses and partially to begin "tak[ing] off the training wheels", as the guy at The Easy Chair once put it. It wasn't as horrible as my last one almost a year ago, but still much less even than tasty. Give it another year, though, and my addiction may become financially negligible. I hope.