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A blog on the philosophy of logic, philosophy of mathematics and logic proper.
Posted by
Ole Hjortland
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1:03 pm
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Hourya Benis Sinaceur (Paris)
John Cantwell (KTH, Stockholm)
Matti Eklund (Cornell)
Christopher Gauker (Cincinnati)
Sten Lindström (Umeå/SCAS)
Per Martin-Löf (Stockholm)
Sara Negri (Helsinki)
Peter Pagin (Stockholm)
Dag Prawitz (Stockholm)
Stephen Read (St Andrews)
Tor Sandqvist (KTH, Stockholm)
Gabriel Sandu (Helsinki/Paris)
Peter Schroeder-Heister (Tübingen)
Sören Stenlund (Uppsala)
Göran Sundholm (Leiden)
Dag Westerståhl (Gothenburg)
Posted by
Ole Hjortland
at
7:38 am
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Labels: Conferences, Etchemendy, Inferentialism, Logic, Philosophy
THE 2008 ROLF SCHOCK PRIZE IN LOGIC AND PHILOSOPHY
The Royal Swedish Academy of Sciences has decided to award Professor Thomas Nagel, of New York University, the 2008 Rolf Schock Prize in Logic and Philosophy. This is the eighth time the Prize has been awarded. Earlier laureates are W.V. Quine, M. Dummett, D. Scott, J. Rawls, S. Kripke, S. Feferman and J. Hintikka.
SYMPOSIUM FOR THOMAS NAGEL
21 October 2008. At the Royal Swedish Academy of Sciences, Stockholm.
The 2008 Rolf Schock laureate in logic and philosophy, Thomas Nagel, has made important contributions to many areas within philosophy, especially the philosophy of mind, epistemology, metaphysics and political philosophy. This symposium in honor of Thomas Nagel will focus on some central themes in his thinking, namely what it means to have reasons for beliefs and for actions, and the possibility to reduce all knowledge to science.
10.30 ”Realism about Reasons"
Thomas Scanlon, Harvard University, U.S.A
12.00 Lunch
13.30 ”Motivation”
John Broome, Oxford University, U.K
15.00 Coffee
15.30 "Antireductionism and the Natural Order"
Thomas Nagel, New York University, U.S.A
No registration is required to attend the symposium. Lunch will be at the participants own expense.
If you have any questions regarding the symposium please contact Programcoordinator Astrid Auraldsson (astrid@kva.se).
More information about the Rolf Schock Prize can be found on www.kva.se
under prizes.
Posted by
Ole Hjortland
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6:24 am
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Labels: Epistemology, Others, Philosophy
Abstract: We introduce a variant of pointer structures with denotational semantics and show its equivalence to systems of boolean equations: both have the same solutions. Taking paradoxes to be statements represented by systems of equations (or pointer structures) having no solutions, we thus obtain two alternative means of deciding paradoxical character of statements, one of which is the standard theory of solving boolean equations. To analyze more adequately statements involving semantic predicates, we extend propositional logic with the assertion operator and give its complete axiomatization. This logic is a sub-logic of statements in which the semantic predicates become internalized (for instance, counterparts of Tarski’s definitions and T-schemata become tautologies). Examples of analysis of self-referential paradoxes are given and the approach is compared to the alternative ones.
Posted by
Ole Hjortland
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9:01 am
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Labels: Conferences, Logic, Others, Paradox

Posted by
Ole Hjortland
at
10:32 am
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Labels: Logic, Negation, Proof-theory, Semantics, Talks
Posted by
Ole Hjortland
at
10:12 am
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Labels: Epistemology, Philosophy, Publications
It is sometimes held that rules of inference determine the meaning of the logical constants: the meaning of, say, conjunction is fully determined by either its introduction or its elimination rules, or both; similarly for the other connectives. In a recent paper, Panu Raatikainen argues that this view—call it logical inferentialism—is undermined by some “very little known” considerations by Carnap (1943) to the effect that “in a definite sense, it is not true that the standard rules of inference” themselves suffice to “determine the meanings of [the] logical constants” (p. 2). In a nutshell, Carnap showed that the rules allow for non-normal interpretations of negation and disjunction. Raatikainen concludes that “no ordinary formalization of logic [. . . ] is sufficient to ‘fully formalize’ all the essential properties of the logical constants” (ibid.). We suggest that this is a mistake. Pace Raatikainen, intuitionist like Dummett and Prawitz need not worry about Carnap’s problem. And although bilateral solutions for classical inferentialists—as proposed by Timothy Smiley and Ian Rumfitt—seem inadequate, it is not excluded that classical inferentialists may be in a position to address the problem too.
Posted by
Ole Hjortland
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4:35 am
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Labels: Carnap, Constanthood, Dummett, Inferentialism, Logic, Philosophy, Prawitz

Posted by
Ole Hjortland
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3:52 am
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Posted by
Ole Hjortland
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7:35 am
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Posted by
Ole Hjortland
at
9:06 am
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Posted by
Ole Hjortland
at
9:58 am
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Labels: Conferences, Logic, Logical pluralism