Studies in History and Philosophy of Science Part A 43 (1):199-202 (2012)
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| Abstract |
Many philosophers contend that Turing’s work provides a conceptual analysis of numerical computability. In (Rescorla, 2007), I dissented. I argued that the problem of deviant notations stymies existing attempts at conceptual analysis. Copeland and Proudfoot respond to my critique. I argue that their putative solution does not succeed. We are still awaiting a genuine conceptual analysis
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| DOI | 10.1016/j.shpsa.2011.11.002 |
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References found in this work BETA
On Computable Numbers, with an Application to the N Tscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
A Natural Axiomatization of Computability and Proof of Church’s Thesis.Nachum Dershowitz & Yuri Gurevich - 2008 - Bulletin of Symbolic Logic 14 (3):299-350.
Deviant Encodings and Turing’s Analysis of Computability.B. Jack Copeland & Diane Proudfoot - 2010 - Studies in History and Philosophy of Science Part A 41 (3):247-252.
Citations of this work BETA
The Representational Foundations of Computation.Michael Rescorla - 2015 - Philosophia Mathematica 23 (3):338-366.
Computing with Numbers and Other Non-Syntactic Things: De Re Knowledge of Abstract Objects.Stewart Shapiro - 2017 - Philosophia Mathematica 25 (2):268-281.
Computability, Notation, and de Re Knowledge of Numbers.Stewart Shapiro, Eric Snyder & Richard Samuels - 2022 - Philosophies 1 (7).
Implicit and Explicit Examples of the Phenomenon of Deviant Encodings.Paula Quinon - 2020 - Studies in Logic, Grammar and Rhetoric 63 (1):53-67.
Computability, Notation, and de Re Knowledge of Numbers.Stewart Shapiro, Eric Snyder & Richard Samuels - 2022 - Philosophies 7 (20):20.
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