Hi, Kirby. Thanks for that. Fun stuff. How did you like Haack? I'm a fan of her "foundherentism." She's very hard on Rorty in a number of her papers and books, and particularly objects that he calls himself a pragmatist (like her hero, Peirce). Did Rorty ever reply to any of her critiques in your class? W --- In WittrsC@xxxxxxxxxxxxxxx, kirby urner <wittrsamr@...> wrote: > > Sometimes I'll republish a posting of mine here > as a blog post. Case in point: > > > I had the privilege of leading a course in Martian > Math for a nonprofit school of many skills that > operates here in the Portland area, many PDXers > among its grads. The venue was Reed College > in or near the Woodstock neighborhood. My web > site for the site, links below, offers a satellite's > viewpoint [0]. > > Excerpt from Martian Math: geosynchronous orbits > around Mars, are they possible? Does the planet > spin more slowly or quickly than Earth about an > axis? What is that axis, in relation to the plane of > its orbit around the sun? Is that plane itself tilted, > relative to Earth's? -- Lots of basic geography-is- > astronomy questions, like in National Geographic. > > Wittgenstein has helped bridge us to Martian Math > in the sense that the latter is a marketing vehicle or > thin wrapping around an older 1970s philosophy that > still has working parts, is not entirely a rusted-away > Model T. > > I am speaking of the one based around tetrahedral > mensuration and a concentric hierarchy of familiar > polyhedra embedded within a sphere packing > lattice known variously as the CCP, FCC, IVM > and octet-truss (IVM being its name in some > Asiatic philosophy)). > > Bucky Fuller's in other words, his chronofiles at > Stanford, his Institute in Brooklyn, and his network > far flung as he was good at circumnavigation, > by means of jet airplanes especially. > > <storytime type = "nonfiction" > > > On the local scene, I'm a collaborator with one of > Fuller's jet partners of the 1970s, one Lanahan, friend > of the Applewhite family (two sons in the same > well-endowed schools that really knocked a lot > out of ya). Just thought I'd mention, could be > construed as a promo for his book... > > Flextegrity: Equilibrated Polyhedral Structures > > ...just released in preview to some of our leading lights > (Belt & Baldwin). > > A little rough in patches, but lavishly illustrated and > professionally done. I'm a contributing editor in having > some of my art works featured (ray tracings and > photographs) -- plus I hammered on some of the prose, > though by no means all of it (Sam did most of the > heavy lifting on this one, unless he had ghost writers > I don't know about (LaJean I do know about -- she's > no secret)). > > Lanahan and Bucky jetted to Manila as guests of the > Marcos family. Imelda recognized right away that > they could use some new shoes (so could I by the > way, rather desperately). > > I later got to meet Imee, their beautiful and intelligent > daughter, in a psychological anthropology class, > with Fernandez at Princeton U. I'd grown up in the > Philippines, through my high school years, and was > actually there at the time Bucky and Sam came > through -- but wasn't tracking back then. > > I studied Wittgenstein under Rorty at Princeton. I've > since met Dr. Susan Haack at the Linus Pauling House, > in town for an ISEPP lecture (which I also attended) > and compared notes about Rorty. I've yet to meet > anyone who knew Wittgenstein personally. I did > get to meet Henry LeRoy Finch, author of one of > my favorite books on Wittgenstein's later philosophy > (which was the subject of my senior thesis). He came > in to give a talk as a guest of the department. > > </storytime> > > Wittgenstein's remarks on the foundations of maths, > which very much dovetail with Philosophical Investigations > (posthumous), cover the ground of "gestalt switches" > and "seeing according to an interpretation". > > He hammers on this idea of "aspects shifts" as a > part of "meaning" and which for convenience one > might term "right brained", with the more lexical > "left brained" material in PI Part 1 having to do with > "reading" and "understanding", with more numeric > sequences as examples, as in "please continue > this series, according to your interpretation of its > rule..." > > Of course RFM also has its numeric sequences. > His philosophy is "full spectrum" i.e. appealing to > both left and right hemispheres, which might > account for his popularity among artists and > filmmakers, not exclusively among academic > logicians (a claim Russell's fans might also make, > given the recent debut of the previously cited > Logicomix for example). > > One needs both left and right brain skills to tackle > that 1970s philosophy I was talking about, so-called > "explorations in the geometry of thinking". > > For starters, this "tetrahedral mensuration" thing > is a bit of a puzzler, in that it draws attention to > our propensity to say "squaring" and "cubing", > as a kind of shorthand, as a kind of stuttering or > barrier to understanding, vis-a-vis this alternative > modeling of 2nd and 3rd powering. > > Furthermore, the author wishes we'd say "instairs" > and "outstairs" instead of "downstairs" and "upstairs", > as that would more clearly delineate the features > of the gravitational space (or "gravity well") in this > picture. > > These mental gestures leave everything as it is i.e. > there's no disputed thesis or facts of the matter at stake. > > The "upstairs" people know that they live on a spherically > shaped planet and are diverging from a common center > in a radial direction. > > They realize that going "upstairs" does not entail > asserting a normal in a forest of vectors all parallel > to one other ad infinitum, in some "infinity forest" of > parallel lines (so-called XYZ -- purely an abstraction > with no physical existence except locally and by > analogy, in material forms). > > What other more practical applications might we look > for from this philosophical school, other than some > bridging function between Martian and Earthling Math > (a kind of shorthand for 60-degree versus 90-degree > based brands)? > > <applications type="practical"> > > <campaign> > > The Fuller syllabus introduces the concept of "corporate > personhood" in a vilification of capitalism known as > 'Grunch of Giants' (1983) and free on the web. > > It gets quoted in epigram in Thom Hartmann's > 'Unequal Protection'. > > A campaign in this neighborhood would include keeping > Havana fast food free, in the sense of exempt from the > need to host fast food franchises (chains), many with > ties to the very same organized crime syndicates that > ran the casinos in pre-Castro days. > > Just as Disneyland is exempt from needing to host > a KFC or Taco Bell (both PepsiCo properties last > I checked), so might Havana and all of Cuba if it so > chose, remain innocent of McDonald's. > > This would actually attract tourism (witness Vilnius, > with only one last I visited), and would help keep a health > food culture intact, in a time when North Americans crave > more urban gardening skills, being close to overdosed > on processed food products. > > I call this Operation Ben & Jerry's, as we'd like a > family friend ice cream plant that perhaps delivered > to locals and visitors by bamboo bike trailer fleet > (no need for obnoxious music), with visiting Global U > trainees lining up to take part in such an athletic > activity (we also teach socio-history, visit the beach, > have an engaging academic program, ala CDI's). > > Want to know more, contribute, sign up? > Read all about it: > http://mybizmo.blogspot.com/2010/07/marketing-campaigns.html > > </campaign> > > <campaign> > > Another topic some discussed in GofG (St. Martin's > Press, 1983) is the Doctrine of Discovery, though not > by that name, i.e. the concept of land-ownership-by-fiat > which Roman Imperials, Holy Romans, and later the > Vatican and Anglican dogmatists would espouse > as law of the land. > > Episcopalians have voted to renounce it, and the > Quakers have its repudiation in committee (for study, > not because it was ever approved or assumed as > a part of their faith and practice, at least not to my > knowledge). > > This same has come up in recent Parliaments of > World Religions (Melbourne most recently), one of > which our family attended as Quaker delegates > in Capetown, just before the Y2K apocalypse (glad > to have that one behind us, not happy about what > happened instead). > > There's a lot of interest in this story in our region, > where land-grabbing my "illegal immigrants" (aka > "white people") has been going on for a long time. > Turning tables doesn't mean grabbing it all back, > but it does mean respecting title, when casinos > buy it back at fair price. > > Want to know more, contribute, sign up? > Read all about it: > http://controlroom.blogspot.com/2010/03/wanderers-2010316.html > > </campaign> > > </applications> > > Obviously the Bucky stuff only partially overlaps > with the above campaigns, being worked on by many > people who have never heard of 'Grunch of Giants' > or maybe have, but couldn't read it, because of its > style. > > Fuller's reputation as a difficult writer precedes > him, with some reviewers complaining "not English" > or "worse than Finnegans Wake" or some such > protest against what they construe to be unreadable > gobbledygook.[1] > > Real philosophers, on the other hand, specialize in > reading difficult stuff, so long as it's judged to have > quality (in the eye of the beholder in large degree), > so in that regard I am grateful for my training at > Princeton. > > Fuller's stuff is pretty grokkable next to Heidegger's > and Sartre's, and just as pregnant with applicable > ideas if not more so (hence its ties to American > pragmatism, even though I'd categorize Fuller as > more a transcendentalist than existentialist). > > Back to Martian Math: because of its links to > Wittgenstein, I think we're well positioned to offer > a new kind of philosophy course at the college level > that begins to assume this heritage I was talking > about, that of Leibniz, Ada and Hopper (Turing, > Hollerith... Alison Randal, Richard Stallman...). > > Should we call it "the philosophy of open source" > or "open source philosophy"? I'm not sure. The > point is instead of just paper and pencil logic, we > explore analytic geometrical vistas by means of > one or more computer languages, with the intent > to serve as a "vector" for these skills among needy > populations (a link to the One Laptop per Child > campaign, on which I've also worked). Philosophy > with a field work component is going to fare far > better, in terms of enrollment, than some Ivory > Tower "stay at home" genre. Remember, beaches, > Havana... (one of our household just back from > Jamaica in the last couple weeks, a kind of > Casino Math gig (lots of card playing)). > > This connects us to investigations of "hacker ethics" > (much in dispute these days) and the use of social > networking tools (e.g. wikis), the idea of smart and > dumb mobs per Howard Rheingold. [2] > > It'll be fair game in these courses, to discuss the > various "meme viruses" that have spread themselves, > akin to real and software viruses in the ability to > increase and decrease in non-linear time-space. > How did the Eugenics craze, with headquarters in > Cold Spring Harbor, manage to jump the Atlantic > and infect the author of Mein Kampf. Wasn't he > already susceptible? Wasn't the zeitgeist > (noosphere) conducive to these memes, for > which few had the antibodies? That's a topic on > the Math Forum right now, where Martian Math > is further exposited (although this is Earthling Math > that we're talking about, a lot of it IBM's). > > http://mathforum.org/kb/thread.jspa?threadID=2108795&tstart=0 > > What's interesting about this emergent philosophy > (school of thought, invisible college) is its inclusion > of so much video and television, right down to the > commercial advertising dimension. For some, that's > reassuring, a sign that a philosophy is finally taking > some responsibility for itself at some organizational > level. For others, that seems more like a threatening > development, as who needs another new kid on the > block at a time like this, upsetting a bunch of apple > carts? > > To the latter group, I would say reassuringly that > we're really just talking about another Neoplatonism, > nothing all that new in western civ (including the > Asiatic components, which have long been influential). > Did the linguistic turn mean we'd never again see a new > metaphysics with a respectable following? That would > have been a simple outcome, but unrealistic to expect, > judging from history. If one buys that at least some > Quaker schools are respectable, then I think I have > the gist of a counter-argument. > > Looking to the Future > =============== > > We hope the Japanese probe due to enter Venusian > orbit in December is successful in doing that and > reporting back data, is this will give us another > opportunity to offer this trademark mix of astrobiology > and philosophy of language (including computer > languages, unless you're busy missing the boat). > Martian Math could feed into Venusian Math with > a lot of the same questions and discussions. > > Whereas the college versions will be interesting and > well attended, I'm also keen to have the more informal > atmosphere of the coffee shop augmented with more > intelligent debate, possibly simply through more > inspiring and interesting LCD content (doesn't have > to be loud). The Coffee Shops Network is devoted > to this purpose. [3] > > I'm also eager to see wider adoption of at least the > tetrahedral mensuration thread in the earlier grades, > along with a broader acceptance of Silicon Valley type > technologies, such as Youtube, Facebook, Python, > Linux and all the rest of it. [4] > > Kirby > > [0] > > http://www.4dsolutions.net/satacad/martianmath/ > > [1] > > This criticism extends to his presentation of A & B > modules, tetrahedra with plane-nets, angles and edges > computed, which assemble as left-right-left and/or > left-right-right, to make Mite, Rite, Bite, three of the > four space-filling tetrahedra known as of 1923, as > discovered and/or chrono-logged by D.M.Y. Sommerville, > though not using that nomenclature (1/4 Rite was his > fourth). > > There's nothing incomprehensible about the geometry > here though admittedly it's highly specialized. We've > got some unfamiliar concepts (most of spatial geometry > is off limits in most high schools, so not a part of the > average reading vocabulary), now more everyday and > accepted thanks to cellular automaton studies, which > have legitimized using space-filling tessellations (e.g. > Archimedean dual honeycombs) as a staging ground > for energy studies. > > http://worldgame.blogspot.com/2005/12/incomprehensible.html > > [2] http://mybizmo.blogspot.com/2010/04/smart-mobs.html > > [3] http://coffeeshopsnet.blogspot.com/ > > [4] > > Kids go to school with the legitimate expectation of > learning skills valued by the ambient culture. Four > years of math without programming is a national > disaster, if not a global one (many others ahead, > compensating). I think the Litvins text used at > Phillips / Andover is a step in the right direction. > > Once you get some real computer skills going in > your math classes, you're not going to settle for only > "flat stuff", will want to explore using stereometry, > spatial formats, per computer game standards. > Simulations will assume this approach, even > where "flat stuff" (like Tetris) remains a popular > genre. Aristotle was right, remember the Mite. > ========================================== > > Need Something? Check here: http://ludwig.squarespace.com/wittrslinks/ > ========================================= Need Something? Check here: http://ludwig.squarespace.com/wittrslinks/