It's been up for a while now, but better late than never: Peter Smith (Cambridge) has set up a very handy page of links to LaTeX class files, style files, and instructions, especially for logicians. It includes, for instance, links to Josh Parson's style file for setting formulas in Frege's Begriffsschrift notation. Also, Peter's own … Continue reading LaTeX for Logicians
Author: rzach
History of mathematics soon won’t need libraries
If you're into history of logic (or mathematics generally), or are just looking for old articles, and you're stuck at a university whose libraries holdings go back to only about 1965, what can you do? Say you're looking for a paper from Mathematische Annalen 1924, where do you go to find it online? Well, JSTOR … Continue reading History of mathematics soon won’t need libraries
Alfred Tarski: Life and Logic
I just finished reading the new Tarski biography, Alfred Tarski: Life and Logic, by Anita Burdman Feferman and Sol Feferman. It is a well-researched, interesting, beautiful, and sometimes moving account of the life of one of the leading figures in the field. It was especially interesting reading for me, since a great chunk of his … Continue reading Alfred Tarski: Life and Logic
Live from the Logic Colloquium
While everyone else is blogging from the NDC, I'm in Turin at the European Summer Meeting of the Association of Symbolic Logic, aka LC'04. Highlights so far: Grisha Mints' opening talk on Monday, in which he presented a result showing that all intuitionistic Frege systems polynomially simulate each other. It uses some interesting recent work … Continue reading Live from the Logic Colloquium
Two Interesting Conferences Next Year
Two exciting conferences coming up next academic year: In November, the 5th Midwest Philosophy of Mathematics Workshop will be held at Notre Dame. I went last year, and it was a fabulous experience. There will be a special presentation by Dana Scott. And at the end of March 2005, the 1st World Congress and School … Continue reading Two Interesting Conferences Next Year
The Status of Logic in Philosophy II
As a follow-up to my previous post, I took it upon myself to survey graduate program logic requirements. Of the top 50 US PhD programs (according to the Gourmet Report), every one has a logic requirement of some form or another. 15 require only an introductory course in formal logic (propositional and predicate logic, formalization, … Continue reading The Status of Logic in Philosophy II
Blog Rules
Brian Weatherson has started a discussion about rules as to what it is ok to write about in philosophy blogs. This was taken up by Lindsay Beyerstein and Gustavo Llarull. In the comments at TAR, I suggested that it's doubtful that new rules are needed. Blogging is a relatively new phenomenon, but academic discussion (in … Continue reading Blog Rules
Free-variable Tableaux
Wolfgang Schwartz asks here if there is a "canonical" way to build free-variable tableaux which are guaranteed to close if the original formula is valid. It seems to me that this must be the case, since free-variable tableaux are a complete proof method. But maybe I don't understand the question.The point of free-variable tableaux is … Continue reading Free-variable Tableaux
The Status of Logic in Philosophy
It is a commonly accepted view (among logicians working in philosophy [departments]) that while logic was considered central to philosophy in the mid-20th century, it has since moved closer and closer to the margins. It is said, e.g., that while in the 1950s and 60s it was common to find "pure" logicians working in philosophy … Continue reading The Status of Logic in Philosophy
Promoted!
I got the official letter today: I'll be Associate Professor as of July 1. Yay!
Great Moments in Logic
Greg Restall has a nice page of short descriptions of some important logicians' work. Kinda like my Who are Boole, Fitch, and Tarski page, only more in-depth.
History of Logic 1900-1935
The long (178 pages!) paper I wrote with Paolo Mancosu and Calixto Badesa is now done and available for download here.
Decidability of quantified propositional intuitionistic logic and S4 on trees of height and arity ≤ ω
Source
Journal of Philosophical Logic 33 (2004) 155–164.
Hilbert’s “Verunglückter Beweis,” the first epsilon theorem, and consistency proofs
Source
History and Philosophy of Logic 25 (2004) 79–94.
The practice of finitism: Epsilon calculus and consistency proofs in Hilbert’s Program
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Synthese 137 (2003) 211-259.
Characterization of the axiomatizable prenex fragments of first-order Gödel logics
In: 33rd International Symposium on Multiple-valued Logic. Proceedings. Tokyo, May 16-19, 2003 (IEEE Computer Society Press, 2003) 175-180 (with Matthias Baaz and Norbert Preining)
Abstract: The prenex fragments of first-order infinite-valued Gödel logics are classified. It is shown that the prenex Gödel logics characterized by finite and by uncountable subsets of [0, 1] are axiomatizable, and that the prenex fragments of all countably infinite Gödel logics are not axiomatizable.
Download from IEEE Xplore:
Hilbert’s Finitism: Historical, Philosophical, and Metamathematical Perspectives
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Dissertation, University of California, Berkeley, Spring 2001
Abstract
In the 1920s, David Hilbert proposed a research program with the aim of providing mathematics with a secure foundation. This was to be accomplished by first formalizing logic and mathematics in their entirety, and then showing—using only so-called finitistic principles—that these formalizations are free of contradictions.
Tableaux for reasoning about atomic updates
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Logic for Programming, Artificial Intelligence, and Reasoning. 8th International Conference, LPAR 2001. Proceedings, LNAI 2250. (Springer, Berlin, 2001) 639-653
(with Christian G. Fermüller and Georg Moser)
Quantified propositional Gödel logics
Source
Voronkov, Andrei, and Michel Parigot (eds.) Logic for Programming and Automated Reasoning. 7th International Conference, LPAR 2000. Proceedings, LNAI 1955 (Springer, Berlin, 2000) 240-256
(with Matthias Baaz and Agata Ciabattoni)
Hypersequents and the proof theory of intuitionistic fuzzy logic
Source
Clote, Peter G., and Helmut Schwichtenberg (eds.), Computer Science Logic. 14th International Workshop, CSL 2000. Fischbachau, Germany, August 21-26, 2000. Proceedings.
(Springer, Berlin, 2000) 187-201
(with Matthias Baaz)