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2:43 PM | abc and foundations

Now that Davide Castelvecchi’s lucid Nature article on Mochizuki’s “impenetrable” work on the abc Conjecture has been reprinted by Scientific American, many of us can expect our non-expert friends to ask us what’s going on. (It has already happened to me.) If your non-expert friends happen to be sociologists, please advise them to review Castelvecchi’s […]

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By Catarina Dutilh NovaesThis is the fifth installment of my series of posts on the beauty, function, and explanation in mathematical proofs (Part I is here; Part II is here; Part III is here; Part IV is here). In this post I bring in my dialogical conception of proofs (did you really think you'd be spared of it this time, dear reader?) to spell out what I take to be one of the main functions of mathematical proofs: to produce explanatory persuasion.==================Framing the
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12:09 PM | Friday Potpourri Served Up

Again, plenty to choose from....
1) David Brooks (no, not THAT David Brooks) continues his search for interesting sequence-generating integers:
http://aperiodical.com/2015/10/guest-post-sequence-numbers/
http://sequencenumbers.blogspot.co.uk/
2) Chess fans, fabulous post from Jason Rosenhouse reviewing the new Bobby Fischer docu-drama ("Pawn Sacrifice"), and including other Fischer

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4:40 PM | Moving gently on …

I’m planning to go to a couple of lecture courses this term (including Peter Johnstone’s famed, take-no-prisoners, category theory course), and probably a weekly reading group too. I also need to do quite a bit of other reading over the … Continue reading →

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By Catarina Dutilh NovaesThis is the fourth installment of my series of posts on the beauty, function, and explanation in mathematical proofs (Part I is here; Part II is here; Part III is here). In this post I present a brief survey of the debates in the literature on what it means for a mathematical proof to be explanatory.=============Quite a bit has been said on explanation and mathematical proofs in recent decades (Mancosu & Pincock 2012). Although the topic itself has an old and
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12:30 AM | In defense of statistical recipes, but with enriched ingredients (scientist sees squirrel)

Evolutionary ecologist, Steven Heard (Scientist Sees Squirrel) linked to my blog yesterday. Heard’s post asks: “Why do we make statistics so hard for our students?” I recently blogged Barnard who declared “We need more complexity” in statistical education. I agree with both: after all, Barnard also called for stressing the overarching reasoning for given methods, and that’s in sync with […]

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10:00 PM | Forgetfulness Of Purpose • 7

Re: Peirce List Discussion • Sungchul Ji I invited readers to consider Ashby’s example of a regulation game as a triadic relation whose triples are given by either one of the following tables. Sungchul Ji asked a rather good question … Continue reading →

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4:32 PM | The Aïda of our dreams?

Aïda is perhaps one of those operas where the performance of our dreams is likely to beat any staging: we turn up the headphones, and our imagination does the rest. The much heralded new studio recording of Aida, conducted by … Continue reading →

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By Catarina Dutilh NovaesThis is the third installment of my series of posts on the beauty, function, and explanation in mathematical proofs (Part I is here; Part II is here). In this post I start drawing connections (later to be discussed in more detail) between beauty and explanatoriness.===========================A hypothesis to be investigated in more detail in what follows is that there seems to be an intimate connection between attributions of beauty to mathematical proofs and the idea
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By Catarina Dutilh NovaesThis is the second installment in my series of posts on the beauty, function, and explanatoriness of mathematical proofs (Part I is here). I here discuss methodological issues on how to adjudicate the 'dispute' between the reductive and the literal accounts of the beauty of proofs, discussed in Part I.==========================================But what could possibly count as evidence to adjudicate the ‘dispute’ between the literal/non-reductive camp and the
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8:27 AM | Git, for the rest of us?

Git is a widely used version control system, much used e.g. by software developers. But others, even writers of one-author paper or book projects, swear by it too. Thus Richard Baron writes: The last time the Open Logic Text was discussed on … Continue reading →

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3:40 AM | Forgetfulness Of Purpose • 6

Just enough time for an incidental observation. Consider the table Ashby uses to describe his first example of a regulation game. A table like that is a compact way of describing a triadic relation, in this case a relation whose … Continue reading →

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By Catarina Dutilh NovaesI am currently working on a paper provisionally entitled 'Beauty, function, and explanation in mathematical proofs', and so this week I will post what I have so far as a series of blog posts. Here I start with a discussion on the current literature on the presumed beauty of some mathematical proofs. As always, comments very welcome!=============================It is well known that mathematicians often employ aesthetic adjectives to describe mathematical entities,
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1:54 PM | Book Note: The Open Logic Text, #2

Continuing from the previous post: Part III: Computability (pp. 105-158) Ch. 9 is on Recursive Functions, and is reasonably clear but brisk (I think that non-mathematicians encountering this material for the first time will not find it easy and will need … Continue reading →

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10:51 AM | Will the Real Junk Science Please Stand Up?

Junk Science (as first coined).* Have you ever noticed in wranglings over evidence-based policy that it’s always one side that’s politicizing the evidence—the side whose policy one doesn’t like? The evidence on the near side, or your side, however, is solid science. Let’s call those who first coined the term “junk science” Group 1. For […]

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1:16 PM | Book Note: The Open Logic Text, #1

It has been nine months since I really looked at the Teach Yourself Logic 2015 Study Guide. It’s time to start thinking about a 2016 update. So over the coming weeks I’ll be tinkering with the current version, while reading, dipping, … Continue reading →

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7:30 PM | Forgetfulness Of Purpose • 5

Recall the game between R and D determined by the following data. Here is Ashby’s analysis of how it all plays out. Examination of the table soon shows that with this particular table R can win always. Whatever value D … Continue reading →

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12:45 PM | Math From the Week

Math here and there:
1) RJ Lipton reviews "The Curious Incident of the Dog in the Night-Time" (the play, about an autistic math savant):
https://rjlipton.wordpress.com/2015/09/28/a-curious-inversion/
2) Terry Tao's latest math-splash (Erdös proof) via Scientific American:
http://www.scientificamerican.com/article/maths-whizz-solves-a-master-s-riddle/
...and Erica Klarreich explains Tao's

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You know you’re a Parisian intellectual when you are invited to make a totally gratuitous comment in Le Monde. That has never happened to me, so however I may walk, talk, and quack, Brendan Larvor’s diagnosis of my status remains hypothetical. And I can’t really say that Leila Schneps, whom I strongly suspect for numerous […]

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7:00 PM | Forgetfulness Of Purpose • 4

Ashby now invites us to consider a series of games, beginning as follows. 11/3. Play and outcome. Let us therefore forget all about regulation and simply suppose that we are watching two players, R and D, who are engaged in … Continue reading →

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ONE YEAR AGO, the NYT “Science Times” (9/29/14) published Fay Flam’s article, first blogged here. Congratulations to Faye Flam for finally getting her article published at the Science Times at the New York Times, “The odds, continually updated” after months of reworking and editing, interviewing and reinterviewing. I’m grateful too, that one remark from me remained. Seriously I […]

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8:30 PM | Forgetfulness Of Purpose • 3

Here is the first part of Ashby’s setup for the schematic example I had in mind. Requisite Variety 11/1. In the previous chapter we considered regulation from the biological point of view, taking it as something sufficiently well understood. … Continue reading →

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If you have read the Teach Yourself Logic 2015 Study Guide, then you will know that I there particularly recommend as an admirably lucid and, yes, friendly introduction to first-order logic Christopher Leary’s 2000 book, A Friendly Introduction to Mathematical … Continue reading →

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11:00 AM | Shared paths to Infinity

My last post focused on the kinds of problems that can develop when abstract objects, created within mathematics, increase in complexity – like the difficulty of wrapping our heads around them, or of managing them without error. I thought it would be interesting to turn back around and take a look at how the seeds [...]

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8:00 PM | Forgetfulness Of Purpose • 2

I had planned to get down to brass tacks as quickly as possible, with an object example from Ashby’s Cybernetics that made an impression on me at an early stage in my thinking about intelligent systems. But while I was … Continue reading →

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11:14 PM | 3 YEARS AGO (SEPTEMBER 2012): MEMORY LANE

3 years ago… MONTHLY MEMORY LANE: 3 years ago: September 2012. I mark in red three posts that seem most apt for general background on key issues in this blog.[1] (Once again it was tough to pick just 3; many of the ones I selected are continued in the following posts, so please check out subsequent dates…) September 2012 (9/3) After dinner Bayesian […]

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11:07 PM | The art of not reading

Wise words, found in my twitter stream: The art of not reading is a very important one. It consists in not taking an interest in whatever may be engaging the attention of the general public at any particular time. When some … Continue reading →

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)“A B CIt's easy as, 1 2 3As simple as, do re miA B C, 1 2 3Baby, you and me girl”45 years ago, Michael Jackson and his troupe of brothersfamously claimed that counting is easy peasy. But how easy is it really? (We’ll leave aside the matter of the simplicity of A B C and do re mi for present purposes!)Counting and basic arithmetic operations are often viewed as paradigmatic cases of ‘easy’ mental operations. It might seem that we are
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5:54 PM | PHQ in astonishing form, again

To the Wigmore Hall this morning, to hear the Pavel Haas Quartet play Schubert’s “Rosamunde” Quartet and Beethoven’s “Serioso”. An extraordinary short concert, with the PHQ at their unsurpassed best. Of recorded performances of the “Rosamunde”, I perhaps know the … Continue reading →

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4:00 PM | Forgetfulness Of Purpose • 1

Naturally I had purposes and reflected on my purposes for as long as I can remember but I don’t think I thought about the concept of purpose in a systematic way until I began taking courses on cybernetics and systems … Continue reading →

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di diffusione della scienza e rivoluzioni cc @aubreymcfato @CristianCantoro Utilizzare i dati sulle citazioni in Wikipedia per misurare la diffusione dell'open accessScrivevo all'inizio del 2011 per i festeggiamenti del wiki-decennale di una rivoluzione irreversibile. E' stato piuttosto interessante leggere il titolo che technology review ha utilizzato per raccontare dell'ultimo degli articoli dedicati all'enciclopedia libera: Why Wikipedia + Open Access = Revolution.L'idea degli autori, Misha
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Nielsen, F. (2007). Scientific citations in Wikipedia, First Monday, 12 (8) DOI: 10.5210/fm.v12i8.1997

Heather Ford, Shilad Sen, David R. Musicant & Nathaniel Miller (2013). Getting to the source: where does Wikipedia get its information from?, Proceedings of the 9th International Symposium on Open Collaboration, DOI: 10.1145/2491055.2491064

Misha Teplitskiy, Grace Lu & Eamon Duede (2015). Amplifying the Impact of Open Access: Wikipedia and the Diffusion of Science, Wikipedia Workshop at 9th International Conference on Web and Social Media (ICWSM), arXiv: 1506.07608v1

Citation

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After (or before?) @StartsWithABang's balloon animals' post? A couple of week ago Ethan Siegel published a post about ballon animals, so I decide to repost an old piece that I wrote in 2011 for my italian blog: the english version is lost, but it is magically reposted here! Two one-balloon constructions and their associated graphsI recently discovered this interesting site, vihart. In the site there are some interesting paper and today I want to write something about Computational Balloon
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Demaine E.D., Demaine M.L. & Hart V. (2008). Computational balloon twisting: The theory of balloon polyhedra., Proceedings of the 20th Canadian Conference on Computational Geometry (CCCG2008), 139-142.

Bryś K. & Lonc Z. (2009). Polynomial cases of graph decomposition: A complete solution of Holyer's problem, Discrete Mathematics, 309 (6) 1294-1326. DOI: 10.1016/j.disc.2008.01.054

Citation

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Supponiamo di doverci confrontare con un animale, ad esempio un cane o un lupo (o più in generale con un animale, addomesticato o selvaggio). Secondo Konrad Lorenz il comportamento aggressivo di un cane viene influenzato da due stati d'animo differenti: l'ira e la paura.Si può allora provare a prevedere il comportamento del cane in funzione di quale dei due stati domina: nel caso in cui l'animale è dominato da paura o da ira, proporre una previsione è abbastanza semplice; nel caso in cui il […]

Zeeman E.C. (1976). Catastrophe Theory, Scientific American, 234 65-83. DOI: 10.1038/scientificamerican0476-65

Jean Petitot (2013). Complexity and self-organization in Turing, The Legacy of A.M. Turing, (E. Agazzi, ed.), Franco Angeli, Milano, 149-182. arXiv: 1502.05328v1

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Non prevedevo di scrivere la versione italiana di un post sull'ultima news proveniente dal RHIC, ma mi è stato gentilmente chiesto, e provvedo ben volentieri. Inizio, però, con un piccolo cappello, alla fine del quale saprete che c'è anche un piccolissimo pezzetto (il doppio diminutivo è perché i firmatari del papero su arXiv sono veramente tanti) d'Italia in questa interessante scoperta.Tutto nasce da un post, nel flusso twittero, di Annalisa Arci, in cui racconta, in maniera e con un […]

Belavina A.A., Polyakova A.M., Schwartza A.S. & Tyupkina Y.S. (1975). Pseudoparticle solutions of the Yang-Mills equations, Physics Letters B, 59 (1) 85-87. DOI: 10.1016/0370-2693(75)90163-X

Hooft G.'. (1976). Symmetry Breaking through Bell-Jackiw Anomalies, Physical Review Letters, 37 (8) DOI: 10.1103/PhysRevLett.37.8

Hooft G.'. (1976). Computation of the quantum effects due to a four-dimensional pseudoparticle, Physical Review D, 14 DOI: 10.1103/PhysRevD.14.3432

Fukushima K., Kharzeev D.E. & Warringa H.J. (2008). The Chiral Magnetic Effect, Physics Review D, 78 (7) DOI: 10.1103/PhysRevD.78.074033

Kharzeev D.E. & Yee H.U. (2011). Chiral Magnetic Wave, Physical Review D, 83 DOI: 10.1103/PhysRevD.83.085007

STAR Collaboration (2015). Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions, arXiv, arXiv: 1504.02175v2

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A new clue about the #quarkgluonplasma from @RHIC_STAR at @BrookhavenLabWithin the particles that constitute atomic nuclei, protons and neutrons, there are the quarks, the elementary particles with fractional charges, linked to each other thanks to the gluons, bosons that carry the nuclear interaction. Thanks to the gluons it is impossible to observe, at present, free quarks, but it is expected that in the very first stage of the universe, matter was in a state called quark-gluon plasma. Thanks […]

Belavina A.A., Polyakova A.M., Schwartza A.S. & Tyupkina Y.S. (1975). Pseudoparticle solutions of the Yang-Mills equations, Physics Letters B, 59 (1) 85-87. DOI: 10.1016/0370-2693(75)90163-X

Hooft G.'. (1976). Symmetry Breaking through Bell-Jackiw Anomalies, Physical Review Letters, 37 (8) DOI: 10.1103/PhysRevLett.37.8

Hooft G.'. (1976). Computation of the quantum effects due to a four-dimensional pseudoparticle, Physical Review D, 14 DOI: 10.1103/PhysRevD.14.3432

Fukushima K., Kharzeev D.E. & Warringa H.J. (2008). The Chiral Magnetic Effect, Physics Review D, 78 (7) DOI: 10.1103/PhysRevD.78.074033

Kharzeev D.E. & Yee H.U. (2011). Chiral Magnetic Wave, Physical Review D, 83 DOI: 10.1103/PhysRevD.83.085007

STAR Collaboration (2015). Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions, arXiv: 1504.02175v2

Citation

ricardosaenz tweeted: @ricardosaenz

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2015-10-10 00:56:16

j_lanier tweeted: @j_lanier

2015-10-10 00:45:20

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2015-10-10 00:30:07

j_lanier tweeted: @j_lanier

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2015-10-10 00:25:13

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2015-10-10 00:21:32

j_lanier tweeted: @j_lanier

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2015-10-10 00:19:45

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2015-10-10 00:18:13

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RT @willmenaker: .@jakebackpack is the truth. Ben Carson's moronic comments on the Holocaust are textbook antisemitism. http://t.co/vO5oF5t…

2015-10-10 00:16:26

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