BSL
2006
13 years 4 months ago
2006
We give a self-contained and streamlined version of the classification of the provably computable functions of PA. The emphasis is put on illuminating as good as seems possible th...
BSL
2006
13 years 4 months ago
2006
BSL
2006
13 years 4 months ago
2006
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...
BSL
2006
13 years 4 months ago
2006
Abstract. In 1936 Tarski sketched a rigorous definition of the concept of logical consequence which, he claimed, agreed quite well with common usage--or, as he also said, with the ...
BSL
2006
13 years 4 months ago
2006
We review some of the history of the computability theory of functionals of higher types, and we will demonstrate how contributions from logic and theoretical computer science hav...
BSL
2006
13 years 4 months ago
2006
BSL
2006
13 years 4 months ago
2006
We show that each of the five basic theories of second order arithmetic that play a central role in reverse mathematics has a natural counterpart in the language of nonstandard ari...