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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems
Dordrecht, Netherland: Springer Verlag (1999)
Abstract
Traces the development of recursive functions from their origins in the late nineteenth century to the mid-1930s, with particular emphasis on the work and influence of Kurt Gödel.Author's Profile
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Citations of this work
Finding the limit of incompleteness I.Yong Cheng - 2020 - Bulletin of Symbolic Logic 26 (3-4):268-286.
On proofs of the incompleteness theorems based on Berry's paradox by Vopěnka, Chaitin, and Boolos.Makoto Kikuchi, Taishi Kurahashi & Hiroshi Sakai - 2012 - Mathematical Logic Quarterly 58 (4-5):307-316.
Logic in the 1930s: Type Theory and Model Theory.Georg Schiemer & Erich H. Reck - 2013 - Bulletin of Symbolic Logic 19 (4):433-472.
On the relationships between some meta-mathematical properties of arithmetical theories.Yong Cheng - forthcoming - Logic Journal of the IGPL.
References found in this work
Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1956 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
Shadows of the Mind: A Search for the Missing Science of Consciousness.Roger Penrose - 1994 - Oxford University Press.
On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
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