❗ 💡 😀 😎 ⭐ last month was quite a tour de force against collatz, the culmination of many months or even years of hard work and creative ideas, and many different approaches all combined (pyramid-like) to lead to very solid results verging on a “candidate solution”. another theme that was pursued earlier here are “adversarial algorithms” which has been used with great success eg by Google/ Deepmind against Go. the basic theme is “two algorithms competing against each other” so to speak. along these lines there is one final idea to try against the prior Collatz “solution”.
⭐ 💡 ❗ 😀 😎 ❤ hi all! want to write a lot on this, have all kinds of impressions and things to say on one of my favorite topics in the world for 2½ decades now and which this blog is partly dedicated to, but am starting out by just collecting some links vacuumed up mostly today for others to check out, the top locations for commentary. unf there is not really a key/ central place so far where all the action is happening. will be adding to this post as time goes on. its very hard to figure out when to time a post wrt very fast moving developments like this, but my trigger just hit mostly right after RJLipton[a10] blogged about it. oh yeah, that comment by gowers that “I think it may reach the level where the experts feel that it needs to be checked” is highly triggering for me too (referring ofc to himself in 3rd person, maybe being more than a bit )( coy about this— doncha just love hardcore mathematicians! which reminds me of the joke about shoelaces…) … oh and then theres also fortnow who literally wrote the book on it! (oh yeah wrt that theres this by RJL too!) 😛
it looks like the Norbert Blum paper[a14][a15] basically went “pop/ scientific viral” today or so probably after mentions on Reddit[a8][a9] and Hacker News.[a11] of the experts Trevisan[a1] was the first to wager a reaction along with some curious onlookers like Baez[a2] and verging-on-jester-or-gadfly-or-even-troll Motl[a5] who along with some mild conspiracy theory about CS research(ers) (lol!) says, wrt the #1 top problem in TCS…
Except that unlike the case of string theory, there exists absolutely no rational evidence that there exists something stunning waiting to be discovered.
@#$% 😡 👿 ❗ whoa, fighting words and/ or near-sacrilege there! excuse me, what is “stunning” is that the problem with $1M prize over 1½ decade has eluded/ stymied/ thwarted the worlds greatest scientific minds for almost ½ century now! and the proof either way, in whatever shape or form, will be assuredly stunning to anyone who isnt jaded or a nihilist! hey physics bozo! think of a great experiment that guaranteed leads to an extraordinary answer either way! arent there any examples like that in your field anyway? or is maybe someone looking a little envious over there? or out of the loop or maybe dont even know how to flirt at all?
the TCS stackexchange post by a n00b newbie (who didnt know enough to not ask! hows that for “zen beginners mind”?) is now up to 136-4 votes and 28K hits (thursday eve 8/17).[a3] (joy that the lame heavyhanded/ constricting/ dictatorial policy of the self-appointed cyber spoilsports and partypoopers also long criticized here in this blog, is overruled by striking mass opposition!) that post slipped my radar for a few days! found the paper on the 1st day (monday this wk) but thought it might stay “unviral” (you know, like those killer viruses locked in the… thawing… arctic, right?) based esp on the last Hauptmann attempt.[a12][a13]
discovered the big commotion today via reddit myself and spent excited hours poking through sites! but my hits on the Hauptmann blog post had been creeping/ climbing up massively all week, merely from google searches (many from germany), and figured it was due to questions on the Blum attempt. turns out theyre both profs at the same university! (Bonn/ Germany) pardon me but wtf?!?… some kind of story there eh? are any reporters listening?
cyberspace is such a joy sometimes, in my quasi-bipolar days, mostly-sometimes seemingly very flat for days, weeks, months, even years at a time, this is a massive manic spike for me… the adrenalin is flowing! didnt sleep as well this week! there is so much cybersynchronicity to this, must admit, its a very rare event, am myself (and defensively, some others are too) having a bit of a mini-cyber-orgasm so far… 💡 😮 🙄 ❗
hi all. what a firestorm this week. james Damore got fired over his memo analyzing gender differences at google, citing scientific research into evolutionary psychology. theres so much media froth on this feel sure that it will continue into next week, but my bookmarks runneth over at this point. “triggered”! like the essay itself: touched a nerve….
this comes at a very bad time for Google which was already under investigation for hiring balances by the US labor dept[a23] and female engineers are considering a class action lawsuit.[a14][a15] looks from here like Google is under pressure from multiple/ all sides/ fronts, maybe in a catch22/ no-win situation wrt this issue. aka a lightning rod, just like damore himself! its turned into a black eye/ PR nightmare for everyone involved…
starting these blogs out, sometimes dont really know where they will lead ahead of time, but its a new month and a new pov. so the (“inherently a priori“) title is typically either “whats happening at the moment” or “some general/ larger theme intended to be pursued,” in this case the former. (now pondering that, am intending to revisualize the last collatz experimental angle in particular but on other hand, nearly entire theme of this overall research prj/ program in general could be said to be “revisualization”!)
at 1st was thinking maybe not all the major extra effort for polished/ pretty visualization was worth it at the moment, but couldnt resist, just wanted to see it, and was curious/ wondering about a few additional statistics. there was some real payoff by saving all the intermediate data and coming up with a major refactoring of the visualization code, ie decoupling visualizing and generation phases, and did a fairly massive rewrite without having to rerun the very expensive generation code. all easier imagined/ said than done! took quite awhile/ substantial effort.
😦 😥 ❤ a few years ago Mirzakhani was credited in this blog with her striking bolt-from-the-blue achievement, and now its with major regret to write this “postscript” in this case also a “postmortem”. (“bolt from the blue” is a turn of phrase used by Heisenberg to describe the Einstein EPR1935 paper and Bohrs response to it, which historical echo seems somewhat fitting/ apt here. coincidentally, it just now occurs to me, Turings amazing paper introducing or even “solving” the undecidability problem was released one year later in 1936. two problems that have been particular extreme focii of attn for me over the years, and is there maybe some deeper resonance that could be observed beyond superficial connections?)
ironic or a bit eerie that Mirzakhani died at age 40, exactly the cutoff age for the fields medal, a topnotch prize with a rare age limit (over the years, not without some element of professional/ expert questioning verging on controversy). on the other hand esp in “winner take all capitalism”, the golden rule is he who has the gold, makes the rules…
have long thought the fields medal prize value ought to be much higher. its status is far higher than the numerical reward in dollars. ($15K, ~1.5% of a Nobel despite being called the “Nobel of mathematics” or ~0.5% of the Millenium prize won by her cohort Tao [a8]—who btw apparently still has said absolutely nothing about his award(s) in all his copious blogging and advice pages and elsewhere!)… but maybe the comparatively micro-money-prize is fitting for mathematicians who tend to profess to be unmotivated by material rewards? or maybe better to avoid such “calculations”? 😮 🙄
(brief tangent, inserting prize trivia or nontrivia depending on your pov, am reminded some of the TCS $5k Godel and Knuth prizes. extremely prestigious, rather tiny by Trumpian standards. another interesting case study is the Turing prize which was apparently unfunded for ~¼ century, was $¼ million ($250K) for ~½ decade, and went to $1M the same year Mirzakhani won, 2014. yeah as iconoclast Kary Mullis observed, prize money awards are one of the most irrational things around… near miss with Nobel himself, long story…)
am not familiar with Mirzakhanis work in particular but the identification of it as “science fiction mathematics” is personally meaningful/ delightful (have myself admittedly consumed vast quantities in written/ visual/ hollywood form of the literary genre, no intention of pulling/ holding back on that in future). as regular readers know, there is a lot of flavor of dynamical systems analysis in these pages lately wrt Collatz conjecture, and there can be regarded as some rough/ abstract connection.