Godel on computability

Philosophia Mathematica 14 (2):189-207 (2006)
Abstract
The identification of an informal concept of ‘effective calculability’ with a rigorous mathematical notion like ‘recursiveness’ or ‘Turing computability’ is still viewed as problematic, and I think rightly so. I analyze three different and conflicting perspectives Gödel articulated in the three decades from 1934 to 1964. The significant shifts in Gödel's position underline the difficulties of the methodological issues surrounding the Church-Turing Thesis.
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    Citations of this work BETA
    Gualtiero Piccinini (2011). The Physical Church–Turing Thesis: Modest or Bold? British Journal for the Philosophy of Science 62 (4):733 - 769.
    P. Cassou-Nogues (2009). Gödel's Introduction to Logic in 1939. History and Philosophy of Logic 30 (1):69-90.
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    Peter Koepke (2005). Turing Computations on Ordinals. Bulletin of Symbolic Logic 11 (3):377-397.
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