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BSL
2004
100views more  BSL 2004»
13 years 7 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad
BSL
2004
49views more  BSL 2004»
13 years 7 months ago
Predicative fragments of Frege Arithmetic
Frege Arithmetic (FA) is the second-order theory whose sole non-logical axiom is Hume's Principle, which says that the number of Fs is identical to the number of Gs if and on...
Øystein Linnebo
BSL
1999
103views more  BSL 1999»
13 years 7 months ago
The logic of bunched implications
We consider a classical (propositional) version, CBI, of O'Hearn and Pym's logic of bunched implications (BI) from a model- and prooftheoretic perspective. We present a c...
Peter W. O'Hearn, David J. Pym
BSL
2000
153views more  BSL 2000»
13 years 7 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
BSL
2006
114views more  BSL 2006»
13 years 7 months ago
Schemata: The Concept of Schema in the History of Logic
Schemata have played important roles in logic since Aristotle's Prior Analytics. The syllogistic figures and moods can be taken to be argument schemata as can the rules of the...
John Corcoran