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6:00 PM | All Liar, No Paradox • Comment 1

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic, so it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value. … Continue reading →

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11:27 AM | Performing truth

The title of this blog entry could be yet another proposed synonym for mathematics, one that hints at an alternative to the sterile but persistent opposition between discovery and invention. Or it could be an allusion to the practice of mathematicians by which what corresponds to our intuition is made to be true by a […]

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5:39 PM | Lenguajes internos

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Spain license. Para celebrar la publicación en línea de las notas de mi curso sobre las curvas de Shimura, para la escuela AGRA 2015 en Cusco, Perú, sobre aritmética, grupos, y análisis, he decidido escribir este post sobre los lenguajes internos en castellano. Si […]

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2:30 PM | All Liar, No Paradox

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic and it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value.

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8:00 PM | Zeroth Law Of Semiotics • Comment 2

Re: Peirce List Discussion • Edwina Taborsky My old avatar (Zero-Aster) does incline to laconic verses, but I hope to address a class of concrete applications that will serve to unpack their sense. The main thing I’d like to communicate … Continue reading →

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2:00 PM | Zeroth Law Of Semiotics • Comment 1

New discussions of the so-called “Liar Paradox” have broken out at several places on the web in recent weeks (1) (2) and these always bring to my mind at least a number of critical ways in which the Peircean paradigm … Continue reading →

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1:00 PM | Friday's Big Grab Bag

LOTSA links to ponder!:
1) Fun Evelyn Lamb post that predicts your personality:
http://blogs.scientificamerican.com/roots-of-unity/kisrhombile-tiling-rorschach-test/
(next week, watch for her new horoscope column for Scientific American.... kidding!)
2) A new "Math Teachers At Play" blog carnival here:
http://blog.ifem.co.uk/maths-teachers-at-play-88/
3) Just a few of the many wrap-ups

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5:33 AM | 175 words, approximately

In the middle of May, although I had just sent Nature my review of Siobhan Roberts’s biography of John Conway, Nature wrote back to me asking whether I might consider writing a short review of approximately 175 words on your pick of the science books published within the last year or so for the Summer […]

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2:00 PM | Zeroth Law Of Semiotics

Meaning is a privilege not a right. Not all pictures depict. Not all signs denote. Never confuse a property of a sign, just for instance, existence, with a sign of a property, for instance, existence. Taking a property of a … Continue reading →

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Suppose you are reading about a statistically significant result x from a one-sided test T+ of the mean of a Normal distribution with n iid samples, and (for simplicity) known σ: H0: µ ≤ 0 against H1: µ > 0. I have heard some people say: A. If the power to detect alternative µ’ is very low, then the statistically significant x is poor evidence of […]

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2:13 AM | Physics, Plato and epistemology

In a recent Scientific American article, the late physicist Victor Stenger, along with authors James A. Lindsay and Peter Boghossian argue that, while not acknowledged as such, some interpretations of quantum mechanics are implicitly platonic (with a lower-case p). We will use platonism with a lower-case “p” here to refer to the belief that the [...]

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7:31 PM | Women in Logic: two new initiatives

For those who haven't yet come across these, I have two new initiatives relating to women in logic to advertise:Women in Logic group on Facebook: "A group for women in Logic, philosophical, mathematical or computational. or any other kind of formal logic that you care about." Membership is not restricted to women.Female Professors of Logic, an editable google spreadsheet. One outcome of this will be to give a list of people who should have wikipedia pages if they don't already.Please share
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9:47 PM | Never minds!

As if adjective-deficiency were not already a nightmare for those of us who try to write about mathematics, the problem is about to be compounded by the new trend of characterizing prominent mathematicians by their kinds of minds, specified by choosing from an inevitably shrinking stock of acceptable adjectives. John Nash’s Beautiful Mind now has […]

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Stephen Senn Head of Competence Center for Methodology and Statistics (CCMS) Luxembourg Institute of Health This post first appeared here. An issue sometimes raised about randomized clinical trials is the problem of indefinitely many confounders. This, for example is what John Worrall has to say: Even if there is only a small probability that an individual factor is […]

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11:44 AM | Another Friday Potpourri

ICYM any of these:
1) The latest (124th) "Carnival of Mathematics":
http://gonitsora.com/carnival-of-mathematics-124/
2) Rewriting (shortening) the proof of the classification of finite groups:
https://plus.maths.org/content/rewriting-enormous-theorem
3) This NPR report from the World Rubik's Cube Championship:
http://www.npr.org/2015/07/20/424465069/

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My Nature review of the Siobhan Roberts biography of John Conway suggested that His ways of being in the world, in Roberts’s telling, amount to a class of adjectives yet to be invented, to join his mathematical innovations. Since I didn’t have time to invent the new adjectives before Nature‘s deadline, I resorted to a […]

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2:16 AM | 3 YEARS AGO (JULY 2012): MEMORY LANE

3 years ago… MONTHLY MEMORY LANE: 3 years ago: July 2012. I mark in red three posts that seem most apt for general background on key issues in this blog.[1] This new feature, appearing the last week of each month, began at the blog’s 3-year anniversary in Sept, 2014. (Once again it was tough to pick just 3; please check out others which might […]

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6:35 PM | House style

My review of Genius at Play: the Curious Mind of John Horton Conway, by Toronto-based writer Siobhan Roberts, was published today in Nature, under the title The mercurial mathematician and also under the above photo of Conway. I include a link to the image because Nature is behind a paywall. If you have access, you […]

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)This is the final post in my series on reductio ad absurdum from a dialogical perspective. Here is Part I, here is Part II, here is Part III, here is Part IV, and here is Part V. I now return to the issues raised in the earlier posts equipped with the dialogical account of deduction, and of reductio ad absurdum in particular.===========================================A general dialogical schema for reductio ad absurdum,
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University of Wisconsin-Madison, September 5-7The goal is to get action theorists and epistemologists (especially formal epistemologists) together to think about topics related to diachronic rationality and belief. All are welcome, but attendees are expected to have read the papers beforehand. Register for free here.Organizers: Mike Titelbaum, Sergio Tenenbaum, Chrisoula Andreou, and Sarah PaulFunded by the Canadian Journal of Philosophy, the University of
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Genius At Play: The Curious Mind of John Horton Conway
"Above all he loves knowledge, and he seeks to know everything about the universe... For his own part, he calls himself a professional nonunderstander. The pursuit is what counts, and chasing after Conway's promiscuous curiosity and probing his ebullient intellect is this book's modus operandi."
(...from the Prologue to the book)
I

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)This is the fifth installment of my series of posts on reductio ad absurdum from a dialogical perspective. Here is Part I, here is Part II, here is Part III, and here is Part IV. In this post I discuss a closely related argumentative strategy, namely dialectical refutation, and argue that it can be viewed as a genealogical antecedent of reductio ad absurdum.========================Those familiar with Plato’s Socratic
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1:00 PM | Grab Bag From the Week

The week gone by:
1) enjoyed this tweet from last weekend:
What
would you do?? pic.twitter.com/tkt7gQvCXA
—
Chris Volinsky (@statpumpkin) July
10, 2015
...and Presh Talwalkar tackled the above problem here:
http://tinyurl.com/o9e7z9g
2) A profile of 6 Indians following in the "footsteps" of Ramanujan:http://mintonsunday.livemint.com/news/meet-the-heirs-to-ramanujan%E2%80%99s-genius/

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Someone linked this to me on Twitter. I thought it was someone’s home blog at first. Surely the U.S. Dept of Health and Human Services can give a better definition than this. U.S. Department of Health and Human Services Effective Health Care Program Glossary of Terms We know that many of the concepts used on […]

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9:28 PM | If Wikipedia says so…

The Wikipedia page Mathematician has a section devoted to Mathematical autobiographies and Mathematics without Apologies is on the list. Although it’s not an autobiography! And it’s in good company: Littlewood’s A Mathematician’s Miscellany, although it includes a chapter on the author’s mathematical education, is not an autobiography either; this doesn’t stop it from being listed […]

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)This is the fourth installment of my series of posts on reductio ad absurdum arguments from a dialogical perspective. Here is Part I, here is Part II, and here is Part III. In this post I offer a précis of the dialogical account of deduction which I have been developing over the last years, which will then allow me to return to the issue of reductio arguments equipped with a new perspective in the next installments. I have presented the basics […]

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12:54 PM | In fairness to economists

By reprinting Joseph Stiglitz’s joke that economics is really a religion I did not mean to cast aspersions on the economic profession as a whole. This article by Simon Wren-Lewis in the London Review of Books introduces the helpful term mediamacro to refer to the phenomenon captured by Stiglitz’s joke. ‘Mediamacro’ is the term I […]

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)This is the third installment of my series of posts on reductio ad absurdum arguments from a dialogical perspective. Here is Part I, and here is Part II. In this post I discuss issues pertaining specifically to the last step in a reductio argument, namely that of going from reaching absurdity to concluding the contradictory of the initial hypothesis.============================One worry we may have concerning reductio arguments is what could be
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12:08 AM | Spot the power howler: α = ß?

Spot the fallacy! The power of a test is the probability of correctly rejecting the null hypothesis. Write it as 1 – β. So, the probability of incorrectly rejecting the null hypothesis is β. But the probability of incorrectly rejecting the null is α (the type 1 error probability). So α = β. I’ve actually […]

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By Catarina Dutilh Novaes(Cross-posted at NewAPPS)This is a series of posts with sections of the paper on reductio ad absurdum from a dialogical perspective that I am working on right now. This is Part II, here is Part I. In this post I discuss issues in connection with the first step in a reductio argument, that of assuming the impossible.=====================We can think of a reductio ad absurdum as having three main components, following Proclus’ description: (i) Assuming the initial
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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

christianp tweeted: @christianp

A poster with nearly the platonic ideal of cumulonumbers, sent unsolicited to me by a spamming company http://t.co/b3NGjWyxtQ

2015-08-03 14:45:39

ulaulaman tweeted: @ulaulaman

2015-08-03 14:44:07

CardColm tweeted: @CardColm

A question from audience at end of Conway's #MOVESmath talk prompts him to give his short proof of Morley's theorem http://t.co/D9Fl720Kf1

2015-08-03 14:42:18

ulaulaman tweeted: @ulaulaman

The Magic of Mathematics http://t.co/azBzAktHYC

2015-08-03 14:40:42

MindAfterMath tweeted: @MindAfterMath

2015-08-03 14:37:28

ricardosaenz tweeted: @ricardosaenz

Your Slinky Escalator Dreams Are Now A Reality http://t.co/yuZ5MU2Io1 vía @po_st

2015-08-03 14:37:04

michiexile tweeted: @michiexile

2015-08-03 14:35:10

michiexile tweeted: @michiexile

RT @pecunium: But a black man in a car/running away is such a huge threat they shoot first, question later. http://t.co/zV5jyKWGDj

2015-08-03 14:35:07

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