The Broad Conception of Computation
Bibliographic Data
| ID | 3755611 |
|---|---|
| Authors | B Jack Copeland (0000-0003-1973-5018, University of Canterbury, corresponding author) |
| Year | 1997 |
| Volume | 40 |
| Issue | 6 |
| Pages | 690-716 |
| Publication date | 1997-05-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | American Behavioral Scientist (JOURNAL) |
| Journal identifiers | ISSN: 0002-7642 • E-ISSN: 1552-3381 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/0002764297040006003 |
| OpenAlex | W2169392809 |
| Language | EN |
| Citations received | 7 |
| References cited | 44 |
A myth has arisen concerning Turing's article of 1936, namely that Turing set forth a fundamental principle concerning the limits of what can be computed by machine-a myth that has passed into cognitive science and the philosophy of minds to wide and pernicious effect. This supposed principle, sometimes incorrectly termed the Church-Turing thesis, is the claim that the class of functions that can be computed by machines is identical to the class of functions that can be computed by Turing machines. In point of fact, Turing himself nowhere endorses or even states this claim (nor does Church). The author describes a number of notional machines, both analog and digital, that can compute more than a universal Turing machine. These machines are exemplars of the class of nonclassical computing machines. Nothing known at present rules out the possibility that machines in this class will one day be built or that the brain itself is such a machine. These theoretical considerations undercut a number of foundational arguments that are commonly rehearsed in cognitive science and gesture toward a new class of cognitive models
Class (philosophy) · Cognitive science · Computation · Description number · Epistemology · Non-deterministic Turing machine · Notional amount · Programming language · Set (abstract data type) · Super-recursive algorithm · Turing · Turing machine · Universal Turing machine · Artificial Intelligence · Cognitive Computing and Networks · Computability, Logic, AI Algorithms · Computer Science · Philosophy · Philosophy and Theoretical Science · Psychology · Theoretical Computer Science
Peculiarities in Mind; Or, on the Absence of Darwin
Computation and Early Chinese Thought
Not All Computational Methods Are Effective Methods
On the Possibility of Completing an Infinite Process
The instructional information processing account of digital computation
Signs of the times
Hypercomputation and the Physical Church‐Turing Thesis
Artificial Intelligence
What computers still can't do
The Emperor's New Mind
Computation and Cognition
On the proper treatment of connectionism
On Computable Numbers, with an Application to the Entscheidungsproblem
Minds, brains, and programs
The Modularity of Mind
On Alan Turing's anticipation of connectionism
A notion of mechanistic theory
What is computation
The curious case of the Chinese gym
The Rediscovery of the Mind
Brainstorms
Remarks on the Philosophy of Psychology
| Unique citing works | 7 |
|---|---|
| Citations per year | 0,11 |
| Citation span | 1965 - 2022 (58) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 6 |