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Brayan Escobar proslijedio/la je Tweet
"executable categorical models of type theory" https://gbaz.github.io/slides/executable-cat-theory-2016.pdf …
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Brayan Escobar proslijedio/la je Tweet
John Baez told me that David Spivak's Temporal Type Theory https://arxiv.org/abs/1710.10258 is concrete implementation of the internal language of a topos. I had always meant to read it, but now I really will.
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Brayan Escobar proslijedio/la je Tweet
Suppose T is an algebraic theory: a structure with operation symbols, all the axioms are equations. A T-model is a set with operations satisfying the axioms. Examples: monoid, group, ring, module, lattice. Counter-examples: field, poset, finitely generated group.
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Brayan Escobar proslijedio/la je Tweet
This paper is nice: Evgeny V. Ivashkevich, On Constructive-Deductive Method For Plane Euclidean Geometry https://arxiv.org/abs/1903.05175 "..The proposed system of postulates and axioms can be considered as a constructive version of the Hilbert's formalization of plane Euclidean geometry"
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Brayan Escobar proslijedio/la je Tweet
The new Mathematical Objects podcast is out. Can't wait to listen. If you spend any time doing anything even remotely related to doing math with kids, this podcast is a must listen.https://twitter.com/aperiodical/status/1218081846858338304 …
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Brayan Escobar proslijedio/la je Tweet
Can a kind soul translate https://gist.github.com/andrejbauer/4dd8fa975fc98c9cc48dfdc776abde23 … to Lean so that
@XenaProject can have a look at how I would prove that the union of algebraic sets is algebraic? Thanks!Hvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Brayan Escobar proslijedio/la je Tweet
How to write Haskell code just by reading a Category Theory diagram.https://twitter.com/BartoszMilewski/status/1217568736988880896 …
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Brayan Escobar proslijedio/la je Tweet
I have two x64 programs. One uses 1 register and moves values on an off the stack in between practically every instruction, about 300 of them. One uses registers instead like a sane person. The two run in the same amount of time. What the hell?
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Brayan Escobar proslijedio/la je Tweet
Have you downloaded our exciting Sumaze! Primary
#app yet? Sumaze! Primary is designed for ages 4+ and allows children to explore key#mathematical ideas in a fun and interactive way, developing fluency and reasoning skills. Available on the App Store and Google Play.pic.twitter.com/rYJmKz39ncPrikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Brayan Escobar proslijedio/la je Tweet
"Truth... is much too complicated to allow for anything but approximations" - John von Neumannpic.twitter.com/PWHORBcp1y
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Brayan Escobar proslijedio/la je Tweet
Can my followers help me with this question?https://twitter.com/rerarom/status/1216400667138576385 …
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Brayan Escobar proslijedio/la je Tweet
My category theory notes are finally up there! (http://arxiv.org/abs/1912.10642 ) I'm quite proud of the intuitive explanations of the Yoneda lemma, I really tried to do my best.
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Brayan Escobar proslijedio/la je Tweet
Topos theory is a somewhat scary branch of category theory, as witnessed by Johnstone's 1284-page-but-still-unfinished book. I'm teaching a 10-lecture course on topos theory, mainly to learn the subject. Here are my notes for the first class.https://johncarlosbaez.wordpress.com/2020/01/05/topos-theory-part-1/ …
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Brayan Escobar proslijedio/la je Tweet
Looking at the syllabus for the new Programming with Categories course: http://brendanfong.com/programmingcats.html … It's amazing how far we've come from classical programming. memcpy, pointers and for loops vs lax monoidal functors, profunctor optics and catamorphismspic.twitter.com/mhremKV3IS
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Brayan Escobar proslijedio/la je Tweet
I'm very happy to close the decade with a new result: Bayesian updating is lenses - squinting not necessary I believe this establishes the importance of lenses much more strongly than before. In categorical cybernetics they will be absolutely the central concept
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Brayan Escobar proslijedio/la je Tweet
Degeneracies part 2 (products): Ok so simplicial sets are very visual and we would like that their products behave in a somewhat topological manner. In this thread I hope to explain the ways in which they do (1/23)
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Brayan Escobar proslijedio/la je Tweet
As promised, I compiled all my lecture notes on Online Learning in a single PDF. Feedback is welcome! "A Modern Introduction to Online Learning" https://arxiv.org/abs/1912.13213 PS Happy New Year!
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Brayan Escobar proslijedio/la je Tweet
Killing the Hydra. Cut off head at step n, replicate at lower node (if possible) with n copies of the Hydra through original node. Theorem 1. There is a winning strategy to kill the Hydra. Indeed, every strategy is winning. Theorem 2. Theorem 1 is not provable in PA.pic.twitter.com/XCqSiJMQ40
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Brayan Escobar proslijedio/la je Tweet
give a man a logistic regression model, you feed him for a day. teach a man to call it “machine learning” and you feed him for a lifetime.
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Brayan Escobar proslijedio/la je Tweet
Happy New Year! A bunch of us are trying to develop "applied category theory" - and now we've started a new journal on this subject, called "Compositionality". It's free to publish in, and free to read. The first issue just came out! (1/n)https://johncarlosbaez.wordpress.com/2019/12/30/compositionality-first-issue/ …
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