syntaxfree's New Writeupshttp://everything2.com/?node=New%20Writeups%20Atom%20Feed&foruser=syntaxfree2022-05-20T13:42:08ZPony Poem (poetry)http://m.everything2.com/user/syntaxfree/writeups/Pony+Poemsyntaxfreehttp://m.everything2.com/user/syntaxfree2022-05-20T13:42:08Z2022-05-20T13:42:08Z<pre>
PONY POEM TWO
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<p> sang froid d'ete chilled air
<br> everything you have suppressed my <a href="/title/no+ideas+but+in+things">pony poem</a>
<br> <a href="/title/flaneur">des gens qui walk</a> about trying to transform
<br> their drifting ino dwelling -- alchemy
<br> their forgetfulmatteroffactness has erased the birds
<br> <a href="/title/technological+understanding+of+Being">everything you have erased the birds</a>
<br> with your wildean dreams of cyberp!nk metatextuality
<br> with your <a href="/title/How+to+Read+Donald+Duck">chilean</a> cybernetics</p>
<p><!-- close unclosed tag --></p>…Art and essential truth (opinion)http://m.everything2.com/user/syntaxfree/writeups/Art+and+essential+truthsyntaxfreehttp://m.everything2.com/user/syntaxfree2018-03-13T12:44:55Z2018-03-13T12:44:55Z<p>Why does there seem to be something deeply true about <a href="/title/Richard+Wagner">Wagner</a>'s <a href="/title/Siegfried">Siegfried</a>? Of course, it has its <a href="/title/Mythological+origins+of+Richard+Wagner%2527s+Ring+Cycle">deep roots</a>, particular to its story arc; but because it was <em>made</em>, almost if in plain sight of everyone, it rings even truer.</p>
<p>To an useful <a href="/title/first-order+approximation">first-order approximation</a>, there are two competing, but complementary Proposal Theories. PT 1 is that great art can and does reach down (or upwards) to something truly essential and essentially true: something comparable to the genetic of Being or civilization or meaning. PT 2 is that we are accultured into higher-order syntaxes of myths and <a href="/title/chord">chord</a>s and notes and intervals that enable the composer to express the meaning he intends to express with bare symbols; and onto a more <a href="/title/sociological+note">sociological note</a>, that we know <a href="/title/opera">opera</a> to be a "respectable" form, so we are predisposed to recognize some depth in it.</p>
<p>A reasonable position will typically combine or vacillate between PT 1 and PT 2.<!-- close unclosed tag --></p>…Heart Sutra (essay)http://m.everything2.com/user/syntaxfree/writeups/Heart+Sutrasyntaxfreehttp://m.everything2.com/user/syntaxfree2018-03-07T12:31:50Z2018-03-07T12:31:50Z<p>My entirely non-<a href="/title/scholar">scholar</a>ly reading of the Heart <a href="/title/Sutra">Sutra</a> is <a href="/title/aporia">aporetic</a>.</p>
<p>Because form is the same as emptiness and emptiness is the same as form, there can be no subjectivity, no consciousness or intelligence and no true aprehension of reality into a <a href="/title/mental+content">mental content</a>. Therefore, there can be no <a href="/title/enlightenment">enlightenment</a>. There's nothing to be attained! The <a href="/title/Herman+Hesse">Herman Hesse</a>-mediated Western orientalistic idea that the law of cause and effect links suffering with desire and desire with <a href="/title/attachment">attachment</a> and letting go of attachment lets you <a href="/title/transcend">transcend</a>? There is nothing to be transcended.</p>
<p>Which is precisely why (and here is the aporia) the wise monks sing "gate gate paragate...". Because that is <a href="/title/practice">practice</a>, not transcendence.</p>
<p>Our culture's whole idea of "enlightenment" (as in <em><a href="/title/Aufkl%25C3%25A4rung">AufklÃ¤rung</a></em>) is about theoretical development and conceptuali insight leading into a secular kind of transcendence. And sure, to some heroic-narrative extent this is how we've arrived at our <a href="/title/civilization">civilization</a>'s<!-- close unclosed tag --></p>…Pythagorean Theorem (personal)http://m.everything2.com/user/syntaxfree/writeups/Pythagorean+Theoremsyntaxfreehttp://m.everything2.com/user/syntaxfree2018-03-06T12:10:08Z2018-03-06T12:10:08Z<p>When I was a child there was a German TV show (dubbed to my language) that explained <a href="/title/Greek+philosophy">Greek philosophy</a> to children by having actors in togas roam Ancient Greek ruins and <a href="/title/drama">drama</a>tize some scenes. I'm terribly sorry (for myself, really) that I don't have the reference to this, as I'd love to rewatch it.</p>
<p>To the point: there was an episode on <a href="/title/Pythagoras">Pythagoras</a> that burns so bright in my memory that it probably can be found inside my skull with some sufficiently powered <a href="/title/brain+scanning+device">brain scanning device</a>. At the climax, Pythagoras is crouching with his disciples and drawing lines in the sand and proves (or maybe just illustrates with the squares attached to each side of the <a href="/title/triangle">triangle</a>) the Pythagorean theorem. Then someone interjects:</p>
<p>"Is this true for all triangles?"</p>
<p>"All triangles. All triangles that have <a href="/title/ever+been">ever been</a> drawn. And all triangles that will <a href="/title/never+be">never be</a> drawn."</p>
<p>This <a href="/title/ruined+my+life">ruined my life</a>. I'm not exceptionally intelligent and even worse in the <a href="/title/discipline">discipline</a> department, but here I am<!-- close unclosed tag --></p>…numerical integration (review)http://m.everything2.com/user/syntaxfree/writeups/numerical+integrationsyntaxfreehttp://m.everything2.com/user/syntaxfree2018-03-02T12:13:05Z2018-03-02T12:13:05Z<p>In the strictest sense of the term, "numerical integration" means "<a href="/title/quadrature">quadrature</a>". Quadrature is named after one of our culture's oldest problems, that of <a href="/title/squaring+the+circle">squaring the circle</a>. This means, quite literally, producing a square that has the same area as a circle. Time proved this to be intractable with the Ancient Greek of compass-and-unmarked-rule geometry, but thanks to <a href="/title/calculus">calculus</a> we compute the area of any curve given to us in some useful manner. Sometimes quadrature can be done exactly, but in the general case <a href="/title/numerical+methods">numerical methods</a> are needed. Therefore schemes such as the rectangle and trapezoid rules, <a href="/title/Monte+Carlo">Monte Carlo</a> and <a href="/title/Quasi+Monte+Carlo">Quasi Monte Carlo</a>, etc.</p>
<p>However, most often "numerical integration" actually means "numerical schemes for <a href="/title/differential+equations">differential equations</a>". This is because differential equations are still one of the core tools (arguably the single most important) of <a href="/title/mathematical+model">mathematical model</a>ing and because of the Fundamental Theorem of Calculus the following equations are identical:</p>
<p>(1a) <b> d/dt x(t<!-- close unclosed tag --></b><!-- close unclosed tag --></p>…Symplectic (recipe)http://m.everything2.com/user/syntaxfree/writeups/Symplecticsyntaxfreehttp://m.everything2.com/user/syntaxfree2018-03-01T12:56:56Z2018-03-01T12:56:56Z<p>In his monumental <em><a href="/title/Mathematical+methods">Mathematical methods</a> of <a href="/title/classical+mechanics">classical mechanics</a></em>, <a href="/title/V.I.+Arnold">V.I. Arnold</a> states that</p>
<p><blockquote>Classical mechanics is geometry in phase space. Phase space has the structure of a symplectic <a href="/title/manifold">manifold</a></blockquote></p>
<p>A manifold is a structure that the vicinity of any given <a href="/title/point">point</a> has the structure of a <a href="/title/vector+space">vector space</a> (plus some technicalities). By vicinity of a point I mean, somewhat informally, the set of points that have a <a href="/title/distance">distance</a> of less than epsilon, for some value of epsilon. A symplectic manifold is a manifold equipped with a closed nondegenerate skew-symmetric 2-form <b>w(.,.)</b> called the symplectic form, much like a Riemannian manifold is equipped with a closed nondegenerate <em>symmetric</em> 2-form, the <em>metric form</em> that generalizes <a href="/title/inner+products">inner products</a> to the "curved" context of manifolds and gives a notion of length of a curved path, etc.</p>
<p>To present the qualitative features of symplectic structure, I'm going to restrict myself to discussing<!-- close unclosed tag --></p>…