Computation and the brain
In Robert A. Wilson & Frank F. Keil (eds.), Mit Encyclopedia of the Cognitive Sciences (Mitecs). Mit Press (1998)
| Abstract | Two very different insights motivate characterizing the brain as a computer. One depends on mathematical theory that defines computability in a highly abstract sense. Here the foundational idea is that of a Turing machine. Not an actual machine, the Turing machine is really a conceptual way of making the point that any well-defined function could be executed, step by step, according to simple 'if-you-are-in-state-P-and-have-input-Q-then-do-R' rules, given enough time (maybe infinite time) [see COMPUTATION]. Insofar as the brain is a device whose input and output can be characterized in terms of some mathematical function -- however complicated -- then in that very abstract sense, it can be mimicked by a Turning machine. Given what is known so far brains do seem to depend on cause-effect operations, and hence brains appear to be, in some formal sense, equivalent to a Turing machine [see CHURCH-TURING THESIS]. On its own, however, this reveals nothing at all of how the mind-brain actually works. The second insight depends on looking at the brain as a biological device that processes information from the environment to build complex representations that enable the brain to make predictions and select advantageous behaviors. Where necessary to avoid ambiguity, we will refer to the first notion of computation as. | |||||||||
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C. F. Boyle (1994). Computation as an Intrinsic Property. Minds and Machines 4 (4):451-67.
Eliezer J. Sternberg (2007). Are You a Machine?: The Brain, the Mind, and What It Means to Be Human. Humanity Books.
Jack Copeland (1997). The Broad Conception of Computation. American Behavioral Scientist 40 (6):690-716.
Selmer Bringsjord (1994). Computation, Among Other Things, is Beneath Us. Minds and Machines 4 (4):469-88.
Paolo Cotogno (2003). Hypercomputation and the Physical Church-Turing Thesis. British Journal for the Philosophy of Science 54 (2):181-223.
Hava T. Siegelmann (2003). Neural and Super-Turing Computing. Minds and Machines 13 (1):103-114.
B. Maclennan (2003). Transcending Turing Computability. Minds and Machines 13 (1):3-22.
Oron Shagrir (2002). Effective Computation by Humans and Machines. Minds and Machines 12 (2):221-240.
B. Jack Copeland & Oron Shagrir (2011). Do Accelerating Turing Machines Compute the Uncomputable? Minds and Machines 21 (2):221-239.
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