As reported on CT and Cosmic Variance, the preprint archive arXiv has now track-back enabled their entries. This means that if you discuss a paper available on arXiv in your blog and send a trackback ping, the arXiv page of the paper will link back to you post. arXiv is hugely popular in physics, but … Continue reading arXiv math.LO RSS feed and trackbacks
Author: rzach
Dropping the Ball
Sorry for dropping the ball on the LC'05 conference reporting. Day 5 was when I had my talk, so it was a little hectic, and then after my talk they had already turned off the wireless ethernet and locked the computer lab. Now, of course, I don't remember what happened. Oh well.
Thank you, Greg!
Greg Restall is way more dedicated and wired than I am. He already has two posts about what's happening at the Logic Colloquium, and I just made it up the hill in the midday sun. I am so glad I didn't pack my computer. So thank you, Greg, for blogging from the Logic Colloquium, so … Continue reading Thank you, Greg!
Logic and Finite Games
Games in logic are incredibly fashionable, and there's lots of exciting work that I could write about. But I won't. Instead, I'll give you an exercise that can be solved with just the very basics of logic.A finite game is a subset W ⊆ M1, …, Mn, where each Mi is a finite set. Mi … Continue reading Logic and Finite Games
More on Gödel in the Bulletin of Symbolic Logic
Wow, it's just raining Gödel references. The latest issue of the Bulletin of Symbolic Logic is all about Gödel, with exciting-sounding titles like "Future tasks for Gödel scholars" (John W. Dawson, Jr. and Cheryl A. Dawson), "On Gödel's way in: the influence of Rudolf Carnap" (Warren Goldfarb), and "Gödel's reformulation of Gentzen's first consistency proof … Continue reading More on Gödel in the Bulletin of Symbolic Logic
Collegium Logicum 2005: Cut Elimination
If you happen to be in or near Vienna, there's a little workshop at the TU Wien, Monday to Wednesday of next week, sponsored by the Gödel Society. It's on cut-elimination; speakers include Lev Beklemishev, Ale Carbone, Grigori Mints, Pavel Pudlák, and Helmut Schwichtenberg as well as a bunch of up-and-coming young logicians like Arnold … Continue reading Collegium Logicum 2005: Cut Elimination
Franzén on Use and Abuse of Gödel’s Theorem
Don't you wish someone would write a book that catalogs all the various ways in which one can misstate, misunderstand, and misapply Gödel's theorems, and how to correct such misunderstandings? A book that you can send your students off to read when they say stuff like, "Gödel showed that there is no mathematical truth," or … Continue reading Franzén on Use and Abuse of Gödel’s Theorem
Papadimitriou’s Turing (A Novel about Computation)
Christos Papadimitriou has a novel called Turing (A Novel About Computation). (He also has a few other excellent textbooks on technical stuff, but y'all know that.) I didn't know about the novel before, and so when I went to the MIT Press website, I noticed that it's on sale! Only 9 bucks (US) for the … Continue reading Papadimitriou’s Turing (A Novel about Computation)
Gödel and Leibniz
I'm re-reading Coffa's The Semantic Tradition from Kant to Carnap in preparation for my course on the Vienna Circle, and was struck by this quote on p. 14: With his characteristic blend of genius and insanity, Leibniz had conceived of a project in which the simple constituents of concepts would be represented by prime numbers … Continue reading Gödel and Leibniz
Jetlag
Well, I spent the last 2 weeks finishing a paper and cleaning house, and now I'm in Vienna and jetlagged. But I got all my library cards in order and checked out some books. Now all I need is some sleep, setting up some kind of internet access at home, and I'll be back to … Continue reading Jetlag
Pincock on Application of Mathematics, Carnap, Russell, etc.
There's a link on OPP to Chris Pincock's new paper A Role for Mathematics in the Physical Sciences (forthcoming in Nous), so I thought I'd draw everyone's attention (well, the attention of the handful of people reading this) to Chris's other work, all very good, available on his website.
Non-monotonic intuitionist logic?
Yarden Katz emailed me this query, which I unfortunately don't have time right now to think about. Please, someone help him out by posting a comment! I was reading Graham Priest's account of intuitionist logic (in Intro to Non-Classical Logics), where he gives a possible world semantics for several intuitionist logics. In addition to few … Continue reading Non-monotonic intuitionist logic?
LaTeX for Logicians updated
Peter Smith writes: Just in time for its first birthday, I've updated the LaTeX for Logicians site. Maybe the title is getting rather misleading, as there is stuff there that may well be of interest to many philosophers and assorted other TeXies too! (My sense is that more and more philosophy grad students are picking … Continue reading LaTeX for Logicians updated
Begriffsschrift notation in LaTeX and XML
Philip Ebert reports that a formula editor for Begriffsschrift notation with output in XML and LaTeX begriff.sty format is available on the Arché Wiki.
SSHRC Grants in Philosophy for 2005
The Social Sciences and Humanities Research Council of Canada has posted a list of new Standard Research Grants for 2005. The success rate for philosophy grants was 38%, down from 48% last year, with applications only increasing slightly (96 vs. 92 last year). The funding rate went down from 46% last year to 25% this … Continue reading SSHRC Grants in Philosophy for 2005
Kurt Gödel, paper on the incompleteness theorems (1931)
Source
Ivor Grattan-Guinness, ed., Landmark Writings in Mathematics (North-Holland, Amsterdam, 2004), 917–925
Abstract
This entry for the Landmark Writings in Mathematics collection discusses Kurt Gödel's 1931 paper on the incompleteness theorems, with a special emphasis on the historical and philosophical context.
The Second Incompleteness Theorem for Weak Theories
The other day, Arnon Avron asked on FOM whether the Second Incompleteness Theorem holds for Robinson's Q. I remembered wondering about that myself back when I was preparing for the foundations qual. The issue is this: the usual proof of the unprovability of Con(T) requires that T is not just "sufficiently strong" in the usual … Continue reading The Second Incompleteness Theorem for Weak Theories
A better way to run comments at philosophy talks?
In a comment to an Antimeta post about the Formal Epistemology Workshop, Jon Cohen asks: [W]hat's the deal with the "commentator" listed for some of the talks? To me it sounds like someone will be sitting there saying things like "Kenny has gone for the slide striptease trick, not sure how this will go down … Continue reading A better way to run comments at philosophy talks?
My Other Life, er, Blog
Since school's out, I thought I'd try to spend some of my time otherwise than reading, writing, and grading. So I started a blog about things to do in Calgary. Not that many of you care, but perhaps there's someone from Calgary reading this. My plan for next Summer is to actually go out and … Continue reading My Other Life, er, Blog
Exact Philosophy
The Society for Exact Philosophy is meeting in Toronto right now. (Someone told me that the name of the society is a joke, but maybe they were joking. It's serious philosophy, in any event. And it's the 33rd annual conference, so if it's a joke, it's a long-running joke.) The keynote speakers are Jason Stanley, … Continue reading Exact Philosophy