isaac
@uncertainty_s
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would you give up on math? soft, embarrassed lol,
he/him <3
Joined January 2019
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@CNoumena
Lautman "Mathematics, Ideas and the Physical Real" (1920s, ed 1977, trans 2011)
Lakatos "Proofs and Refutations: The Logic of Mathematical Discovery" (1976)
Plotnitsky "Logos and Alogon: Thinkable and the Unthinkable in Mathematics, from the Pythagoreans to the Moderns" (2023)
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@pachabelcanon
@qorprate
@CNoumena
mfw math's experimental aspect is beyond computers, in history's diagrams & metaphors—past isolated images—in a register tracking geometric space's evolution into a thought space, where contemplation & operational formulas intersect (cf art/science) & metaphor becomes operation.
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isn't even mathematics pastoral? if you strain enough for academy & industry you'll no longer strain for muck. why not muck? technical skill & intelligence compensate for emotional & social dysregulation. say we breathe fire into equations. yet words breathe spirit into me? ha ha
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how do you take pride in your work if the cost is so high? the cost of any of this work is...everything. what fills the gap between me and everything? is it a single moment? it can't be a single person. don't give me reasons please. i'm tired of reasons.
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3 sets of 3 issues, maybe chronology & theme coincide. eigentlichkeit aside. ofc idk why the cause of what i want has no specular image, etc... revolution in poetic language, logos & alogon, wretched of the earth are more how i've wanted to see myself than how i've seen myself.
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how does one compartmentalize? i've daydreamed about focusing on applied math, to keep it 9-5, so to speak. the teaching focus has too much jane austen business. i've daydreamed about switching to technical writing to at least hone the skill i desire most. it's all game denial.
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people see studying math as romantic. i may fantasize more about like urbanomic, repeater, soundcloud...sure i daydream about sublimity & tragic genius. but i feel math's mostly my way out of farmwork. maybe it's silly to ask if hauling dirt's a less hopeful lifestyle than math.
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an exhaustion you can't sleep off...and i cannot burn hot enough to maintain the flicker of mathematics...but i will break anything, smash anything i have to...before everything crushes me. and i have. but between us, what's left to crush? what comes from dust...without breath?
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@tenshi_anna
dont get spinoza/marcuse, but im ready to negate episteme over techne, embrace sophist & proletarian values, reject epistemic authority & claims to transcendental truth as legitimating force, prioritize support for workers' struggle, reject imposed rationality over discourse, etc
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"computer science is no more about computers than astronomy is about telescopes" i whisper to myself, arms hugging my knees
Dijkstra advocates Leibniz’s logical project over AI (‘On the Cruelty of Really Teaching Computing Science’).
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daily reminder to all math students (or otherwise): it's ok to become imperceptible. récoltes et semailles & éléments de géométrie algébriquea are black holes, not lines of flight like l'anti-œdipe & mille plateaux, or révolution du langage poétique & le langage cet inconnu.
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lecture 2 of claudio arezzo's differential geometry was already less exciting for me :( but i've spent much of my free time today reviewing godel, church-turing, tarski, & chaitin. kleene did fixed-point & computability too. then, diff geo courses cover brouwer's fixed-point.
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shillito's "varieties: the spice of life" is praxis to corfield's "towards a philosophy of real mathematics"
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most promising aufheben since the fatal hysterogenic (albeit good faith) entry into shanna dobson's effimov k-theory of diamonds toward the diamond holographic principle & deleuzean haecceity etc... prepare for another mathematization, given badiou's mere inscription.
Editorial team for Khôr(a) (working title): me,
@PervertGuide
,
@sanjehorah
,
@pachabelcanon
,
@returntohegel
,
@pseudoSergius
,
@pseudoliminale
,
@MaksValencic
. Get hype
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new math course just dropped: "why gender is poetic synesthesia, how to quit hegelian neoplatonist gnosticism, and how to set boundaries with the reified abusers of your internal family system"
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zeros of polynomials (linear algebra done right, axler). imagining type of guy to get angry at who says grothendeick shouldve just written "recoltes et semailles" on the weekends
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"This is all I wanted from the jump / Just a friend that I could talk to 'bout anything off the cuff"
Since 2021,
@astralagenda
has been my muse. I should show him more love. Lyricism on "waterproof" from December also hit my feels.
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mfw a guy sees the deadline looming & says he'll stop trying a long bad proof–in favor of finding a short simple one (as he's already spent several days on the long bad one), but he just extends the bad one, despite hating it, like stolkholm's but with more self-loathing? lol
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but can we transpose the infinite into the finite, beyond endlichkeit, beyond language enclosed within the circle of its own appropriating being, a circle that excludes the wholly other and nature in general—finitum capax infinit? love strong as death—torat hayim?
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picked this over posting about spectral sequences bc it's been a moment since I showed
@astralagenda
some love
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sleepless hours poring over actuarial guidelines, government software jobs & industrial modeling...and again this morning. i must finish topology & start algebra! time slips away to figments of lifestyles allowing leisure. fugitive time—ew? procrastination—ick? lost futures—sigh?
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"money, mechanization, algebra. the three monsters of contemporary civilization. complete analogy." (simone weil, gravity and grace, 152)
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spent all morning trying to find visuals of exponents, rationals, & irrationals for this 7th grader i'm tutoring. where is the 3b1b for 13 year olds? generalities like a^b * a^c = a^b+c were no good. even small cases like 2^2 * 2^3 = 2^5. he doesn't get 2^2 < √5 < 3^2 😰
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it's giving brassier:
"The 'speculative realist movement' exists only in the imaginations of a group of bloggers promoting an agenda for which I have no sympathy whatsoever: actor–network theory spiced with pan-psychist metaphysics and morsels of process philosophy. I don't
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nov 1, 2016 — oct 28, 2017 a saga in which math stack exchange user imath finally came to believe that the intersection of nonempty nested sets can be empty
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i just tweeted the 6 thms vs the rouché–capelli thm. now, i think strang's counting thm relates to the common "rank-nullity thm" which is a case of the "1st noerthian isomorphism thm". my q now: do rings or abelian groups give nuance to this non/singular umbrella?
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"group theory is beautiful"...a space between numbers...is music just rearranging notes? i won't admit doubt but...if i tell someone (you dear reader) then maybe i'll finish this before the weekend's last bramble pruning. weary long days on campus have me seeking new drives again
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as a pause in my endless complaint...if anyone has a theological or literary comparison of hozier & kendrick lamar. cloud rap has melted my capacities for such ideas. please...
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mis/interpretation pushes me to just read math. If I'm misinterpreting Deleuze, why not just read more math, where my misinterpretation glares me in the face? But, I cannot do math 24/7. Alas, what am I doing?
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if "i like the players (mathematicians), and you like the game (math problems)" then we just like different games
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how to foreclose platonism via a parasocial relationship with axler's LADR in 3 easy steps (equal dimension spaces if & only if isomorphic spaces, rank nullity, invertible if & only if injective & surjective)
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"good job twitter user, isaac, you are re-establishing self-trust by following thru with your commitment (to completing undergrad) by doing your math notes instead of re-reading the luce irigaray wikipedia page and scrawling ruminations in your journal for hours"
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Maybe math or history of philosophy (!) is not your thing. But, Deleuze always draws me to both. I'll cry when I need Bayes for my interest in topology. But, do what you enjoy. It's just: writers like D may give you FOMO for what you don't enjoy.
Lovely article on multiplicity:
My first ever blog post! This one's an introduction to Deleuze's concept of 'multiplicity'. Had alot of fun digging into the background of this one, esp. a bit into the math of manifolds. No presumption of prior knowledge, so hopefully anyone can enjoy.
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today, someone asked me my score on a quiz. i said i didn't know. she said i shouldn't lie. so i told her my score. but i don't like discussing grades. i didn't know whether to feel anger at her invasion or shame for being caught in a lie. in my first year, one of my roommates
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oh boy—enough whining, twitter user isaac. where's the math? some problems, as a treat. i still can't decipher the proofs i submitted for my graded problems. those are between me & my grader. but known solutions for ungraded problems give an aesthetic for this consumer identity.
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I know I shouldn't've... anyone interested in a nascent take on Deleuze & Simplicial Homology born from an understanding of neither... Gangle and Badiou failed me so I could fail you. Confirmation Zalamea's not only over my head: he's ahead of the curve.
There are lots of interesting and incredibly meaningful ways to produce good philosophy, and we should take this into account when developing our curriculum. The only thing that I really think all of them share is that all good philosophy deeply engages with simplicial homology.
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does fiction reduce the subject to signifier? does fiction (like math) think in terms that empty the particulars that create the rules for their emptying? can fiction or math be “analyst's discourse” (text-practice), or is fiction restricted to “hysteric’s discourse” (narrative)?
@AtDuckling12
@TossingsRaphael
@expl1co
part of the problem as well is the mathematical example--mathematics is a special case of thinking in terms that "empty" as fully as possible precisely the particularities I'm insisting on here as providing the genesis for the rules (mathematical, for example) which empty them
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@tenshi_anna
folks, i think tpot = 'this part of twitter'. also, i am afraid to like wittgenstein bc i always fall so close to late wittgenstein which is in turn too close to late heidegger. but, deleuze is crazy enough that i'm comfortable around him. still, i need to read all their og texts
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mccoy's theorem: let A be an m × n matrix with entries in a nonzero commutative ring R with identity. the corresponding map A: R^n → R^m is injective if and only if n ≤ m and the annihilator of Dₙ(A) is zero.
(recall: Dₙ(A) denotes ideal generated by all n × n minors of A &
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i don't think prof gilbert strang mentions the rauche-capelli thm in the 18.06 linear algebra course?? i guess he has his 6 central theorems, but compare:
his:
1. dimension thm: all bases for a vector space have the same number of vectors.
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that time proust said "let us leave pretty [proofs & refutations] to men with no imagination." here's hilbert's nullstellensatz: let 𝑚 be a maximal ideal of 𝐹[𝑥₁,…,𝑥ₙ] where 𝐹 is an uncountable algebraically closed field. then 𝐹[𝑥₁,…,𝑥ₙ]/𝑚 is a field extension of
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"Does probability theory suffer from Gödel's incompleteness theorem?" Consider Gödel's theorems:
1) Any consistent formal system F with elementary arithmetic is incomplete & certain statements in F cannot be proven or disproven in F.
2) For any consistent system F with
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I haven't read Duffy yet. But, Deleuze + Riemann/Weyl features a fair bit in "Virtual Mathematics" (also ft. Plotnitsky!) & "Deleuze and the History". I'd personally love to see more algebraic topology connections, but the differential geometry makes a lot of sense!
Someone beat me to all of this. Weyl is a huge Deleuze influence
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i may barely pass knot theory class. but they can't stop me from spending my whole 8 min final talk on the homotopy category of chain complexes (they can). allen hatcher & william thurston are still legends. math gives hope. grades (>W<) give math. farm distracts. how it must be.
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if it paid the rent, i would work as a night librarian for the rest of my life.
All libraries should be open 24/7. A city without a 24/7 library should be considered lacking necessary infrastructure for human flourishing.
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i gave up on trying to imagine erdos' view. i did it for grothendeick. wait, i did it for me.
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why does it feel like condensed mathematics is to algebraic geometry what speculative realism is to philosophy? why do most emerging efforts in algebraic geometry all feel like dennett's chmess?
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"Every desire that produces a bounded interior necessarily articulates itself, minimally at the unconscious level, with the exteriority that that interiority binds itself in relation to through its separation...
I poured all my death drive into a silly blog post, hope you like it 💖
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meant to abrogate; a dialectical reversal indicates a failure at the level, not of discourse, but rather of the desire conditioning discourse, such that no matter how the discursive construction is clarified, it consistently fails in the same way. This failure is due to its...
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in the field ⟨k,+,∗⟩, every non-zero element (excluding the additive identity) has a multiplicative inverse. but why doesn't the additive identity (0) have a multiplicative inverse like the multiplicative identity (1) has an additive inverse (-1)? every element in the field,
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if i didn't take this course load, i'd feel fake, weak & guilty. that's how i know my mathematics is my vanity. can you take the forgiveness? it's too much?
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while i love wikipedia, i have learned more math by reading a solutions manual after doing like 3 problems fast & loose, then reproducing solutions in my own words (maybe proving suspicious claims). it's too bad derrida & deleuze have no practice problems or solutions manual?
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roommate. i don't know what would be worth the score for me. but not this. i've also slowly cut her off. we talked more at the start. she's nice. i'm glad people are into grades & parties. maybe that's her coping. i'm just into books & sleep. i also can't explain this to her. i'd
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say i don't want to tell you my grades as they will make you think i did well. the cost of the worry was too high no matter the grade...especially if you think i set the curve. i'm not here to compete. and no, i don't dislike you. i just know my lifestyle is an offense to yours.
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@TonyTheLion2500
@Alan_Taylor_314
recently did this using diagrams of universal properties. add some conditions for clifford algebra too if space has bilinear form of zero (inner product on exterior algebra over vector space)
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tldr; tmi...
Baudrillard-ish reductions are frequent but not nice. I think it is a symptom (needing identification?). I spent a week on Seminar XXII. Lacan's insistence that topology is merely imaginary-symbollic was lost on me. “Patterns of the lifeworld” by Grietzer 1/
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I have distanced myself from Zizek. What I love about him is that he's less esoteric than Lacan but still embraces the imprecision of his ideas, his words. He's also entertaining, but that's insufficient. Deleuze appears as a way out, but his abandonment of...
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shout-out shanna dobson for moving from effimov k-theory of diamonds to the diamond holographic principle & finally deleuzean haecceity. the machinery may have been a bit much for deleuze but the hysteria acceleration is there
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is the cardinality of a non-commutative finite "group ring" (e.g. integers mod 7 over alternating group 5) just the sum of the underlying sets' cardinalities (e.g. 7(5!/2)=840)? i'm so tired & can only ever hope the silence of the library rings louder than my internal monologue
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@sanjehorah
obv idk about it but "Difference and Repetition (1968), where we find Deleuze claiming that it is Hölderlin and Kierkegaard who have most clearly seen the consequences implicit in the Kantian account of time." .
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ive failed to explain intersection of parametric paths at least 3 times while tutoring (!) so here's my penance.
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i love this. no way she uses shimura varieties as an example: i'm still trying to grasp heyting algebras. godel & tarski in the back of my mind asking for some well-typed funsies too. the sokal QT put me in a crisis though: many thoughts about 'hoaxes'.
oh you guys thought you were studying Deleuze and derrida? cute... come back to me when you master the ∞-stack
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I once terribly failed an IT interview. I mistook programming in JS and python for knowing IT, & knew nothing. The final Q was what games I play. I play none but said I'll play games if my friends are. They wanted details. I could only name Minecraft, so said I like to read. But,
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this problem is crushing me...if anyone knows what's up. it's a preliminary for 2nd isomorphism theorem on groups. i think i can get the backward implication but not the forward. i'll probably get it...just have to be under that pressure of having asked for help.
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A subject that has successfully repressed the exteriority of their desire may lack conscious awareness of its co-implication, but practically the subject’s desire will be perpetually frustrated the more it attempts to realize itself fully on the basis of an exclusion of that...
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@pachabelcanon
yes, my work varies with the tides of my mood, sleepful or sleepless. i can't help feeling responsibility to perform better. and yet there's conflict over what i care about, sifting through everything i imagine. and there's all the worries of living. but there's hope surely?
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"Philosophers quickly took on board Kripke’s possible world semantics, but how many have realized that they are dealing there with a simple case of what mathematicians call a presheaf over a partially ordered set?" (Corfield, Modal HoTT, p 21) 2/2
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@Liamjsm
this is like e.o. wilson: "we have paleolithic emotions, medieval institutions and godlike technology. and it is terrifically dangerous, and it is now approaching a point of crisis overall"
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the 'mystery' of dialectics; the transformation of a desire into its opposite is what occurs when it has enclosed itself into a loop through the exclusion of an exteriority. The 'dialectical reversal' presumes precisely the hysterogenic closure which hysteria-acceleration is...
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secondary education classes got me feeling like josef k or yossarian. math classes got me feeling like an angsty adolescent. but why did bro say not "to accuse those who accuse, looking away be my only negation"—if he was bound up in his self-destructive blame of force and power?
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people see studying math as romantic. i may fantasize more about like urbanomic, repeater, soundcloud...sure i daydream about sublimity & tragic genius. but i feel math's mostly my way out of farmwork. maybe it's silly to ask if hauling dirt's a less hopeful lifestyle than math.
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fighting the feeling that math is nothing more than finding appropriate sequential strategies to connect the lists ending each chapter with the lists ending the textbook
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@pachabelcanon
is this relates to visa's MVP thread or am i apophenic on that? i.e. minimize function design & race to emotional design, since emotion is incentive
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which contributed to the possibility of its realization in any sense upon its formation (its exteriority). It is impossible to truly 'pull the ladder up' on desire; that which it defines itself against is necessarily also that which makes it possible. Thus we are faced with...
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reading "ghosts of my life" & seeing, embarrassed, i am more like sylvia plath than any of my other introjections these past few years, mark fisher included. the bell jar is more of my black sun than is his joy division. starting uni, i retook my 1st & 2nd calculus courses since
every day, i see more clearly that zizek has never measured up to mark fisher. never thought i'd admit this, with my embarrassed enjoyment of both. my fantasy of the day is doing mark-fisher-ish work in comparative literature of math or something.
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fall will be my 4th year. 3 more required math are fixed, as i'm in the teaching option. been conflicted on whether to change electives from stats to abstract linear algebra & real analysis courses. i'm soft. but i need something to believe in? as if stats will quell my struggle?
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counterpoint: not that my interior life is repeating last may, but i now spend hours debugging epsilon proofs & dreading exams. for a proof that a_n is quasi-increasing, non-monotone & divergent for a_2k = 2k - 1 - ε and a_2k-1 = 2k - 1, i may daydream less of non-math "writing"
But, this humanities habit is far less discouraging in math than programming. Mostly because I just get answers wrong rather than spending hours debugging. In 'the business of reduction' this is an issue because humanities helps manage people 4/
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mfw i find a counterexample to my four-page proof. counterexample: (-1/n,1/n) has an intersection over all naturals n, of a finite cardinality. it's {0} if you even care.
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any math that's just reading/writing sans exams, problem sets, or face-to-face interaction?...i'd love to see why compact riemann surface ⟺ projective non-singular curve over C ⟺ finite extension of rational function field C(X)...yet more algebra & analysis courses will kill me
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can the quantifiers in uniform continuity be re-ordered? also is there an existential quantifier for the point in ordinary continuity? i ask as, broadly, ∀∃∀ differs from ∀∀∃.
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when you don't have time to overvalue ideas or to idealize values (there's a quiz today & you're falling behind on your commitments): so you project the rumination onto your past self where it began (but it never ended, only changed—some things must change to stay the same, &c).
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