Authors
Ken Aizawa
Rutgers University - Newark
Abstract
It is sometimes suggested that the history of computation in cognitive science is one in which the formal apparatus of Turing-equivalent computation, or effective computability, was exported from mathematical logic to ever wider areas of cognitive science and its environs. This paper, however, indicates some respects in which this suggestion is inaccurate. Computability theory has not been focused exclusively on Turing-equivalent computation. Many essential features of Turing-equivalent computation are not captured in definitions of computation as symbol manipulation. Turing-equivalent computation did not play the role in McCulloch and Pitts’s early cybernetic work that is sometimes attributed to it. Finally, various segments of the neuroscientific community invoke a notion of computation that differs from the Turing-equivalent notion.Keywords: Circular causality; Computation; Cortical maps; Neural networks; Symbol manipulation; Turing-equivalent computation.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsa.2010.07.013
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,089
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

A Logical Calculus of the Ideas Immanent in Nervous Activity.Warren S. McCulloch & Walter Pitts - 1943 - The Bulletin of Mathematical Biophysics 5 (4):115-133.

View all 18 references / Add more references

Citations of this work BETA

What is a Computer? A Survey.William J. Rapaport - 2018 - Minds and Machines 28 (3):385-426.

Add more citations

Similar books and articles

Transcending Turing Computability.B. J. Maclennan - 2003 - Minds and Machines 13 (1):3-22.
Concrete Digital Computation: What Does It Take for a Physical System to Compute? [REVIEW]Nir Fresco - 2011 - Journal of Logic, Language and Information 20 (4):513-537.
Effective Computation by Humans and Machines.Shagrir Oron - 2002 - Minds and Machines 12 (2):221-240.
On Implementing a Computation.David J. Chalmers - 1994 - Minds and Machines 4 (4):391-402.
Computation and Hypercomputation.Mike Stannett - 2003 - Minds and Machines 13 (1):115-153.
Introduction to Turing Categories.J. Robin B. Cockett & Pieter Jw Hofstra - 2008 - Annals of Pure and Applied Logic 156 (2):183-209.
SAD Computers and Two Versions of the Church–Turing Thesis.Tim Button - 2009 - British Journal for the Philosophy of Science 60 (4):765-792.
Computationalism.Valerie Gray Hardcastle - 1995 - Synthese 105 (3):303-17.

Analytics

Added to PP index
2010-03-19

Total views
186 ( #62,021 of 2,499,007 )

Recent downloads (6 months)
4 ( #170,045 of 2,499,007 )

How can I increase my downloads?

Downloads

My notes