Arithmetic on a parallel computer: Perception versus logic
Brain and Mind 4 (2):169-188 (2003)
| Abstract | This article discusses the properties of a controllable, flexible, hybrid parallel computing architecture that potentially merges pattern recognition and arithmetic. Humans perform integer arithmetic in a fundamentally different way than logic-based computers. Even though the human approach to arithmetic is both slow and inaccurate it can have substantial advantages when useful approximations ( intuition ) are more valuable than high precision. Such a computational strategy may be particularly useful when computers based on nanocomponents become feasible because it offers a way to make use of the potential power of these massively parallel systems. Because the system architecture is inspired by neuroscience and is applied to cognitive problems, occasional mention is made of experimental data from both fields when appropriate. | |||||||||
| Keywords | arithmetic attractor cognitive science computation data representation network of networks neural network | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,664 |
| External links |
|
| Through your library | Configure |
Andrew Wells (1993). Parallel Architectures and Mental Computation. British Journal for the Philosophy of Science 44 (3):531-542.
Bart D.’hooghe & Jaroslaw Pykacz (2004). Quantum Mechanics and Computation. Foundations of Science 9 (4).
C. Ward Henson, Matt Kaufmann & H. Jerome Keisler (1984). The Strength of Nonstandard Methods in Arithmetic. Journal of Symbolic Logic 49 (4):1039-1058.
Alistair H. Lachlan & Robert I. Soare (1994). Models of Arithmetic and Upper Bounds for Arithmetic Sets. Journal of Symbolic Logic 59 (3):977-983.
Gualtiero Piccinini (2008). Computers. Pacific Philosophical Quarterly 89 (1):32–73.
J. Michael Dunn (1979). Relevant Robinson's Arithmetic. Studia Logica 38 (4):407 - 418.
Mark Hogarth (2004). Deciding Arithmetic Using SAD Computers. British Journal for the Philosophy of Science 55 (4):681-691.
Pavel Pudlák (2003). Parallel Strategies. Journal of Symbolic Logic 68 (4):1242-1250.
Monthly downloads |
Added to index2009-01-28Total downloads15 ( #78,584 of 549,013 )Recent downloads (6 months)1 ( #63,261 of 549,013 )How can I increase my downloads? |

