History and Concept of Computability: Three Papers

It is important to understand the history of computability and the developement of its concepts. There are three attached papers in .pdf form which develop these ideas.


Paper # 1.

Computability and Recursion

Bulletin of Symbolic Logic 2 (1996), 284--321. This paper traces the development of the terms "recursive" and "computable" and suggests that they be used with their original meaning. It examines Church's Thesis and Turing's Thesis and the distinction betweem them.


Paper # 2.

Computability and Incomputability, Computation and Logic in the Real World,

in: Proceedings of the Third Conference on Computability in Europe, CiE 2007<\i> , Siena, Italy, June 18--23, 2007, Lecture Notes in Computer Science, No. 4497, S.B. Cooper, B. L\"owe, Andrea Sorbi (Eds.), Berlin, Heidelberg, 2007. (Springer-Verlag, ISBN-10 3-540-73000-1; ISBN-13 978-3-540-73000-2.)


Paper # 3.

Incomputability, Turing Functionals, and Open Computing,

Annals of Pure and Applied Logic , to appear.