Edited by Corey J. Maley (Princeton University)
|Summary||The theory of computation is a mathematical theory about the properties of abstract computational objects, such as algorithms and Turing machines. They are abstract in the sense that they ignore or leave out considerations about by features of physical implementations, such as finite memory. In contrast, computations are done by physical systems: concrete machines made of silicon and metal, or brains made of biological materials, can run algorithms or implement Turing machines. This area is concerned with questions about how the abstract objects that are in the purview of the theory of computation relate to physical systems.|
|Key works||The relationship between abstract computation and physical systems such as brains is a central issue in philosophy of mind, particularly given the rise of computational functionalism as a foundation for the study of the mind. Here the work of Chalmers 1996 provides a good starting point for bridging the theory of computation with theories of physical systems by means of an implementation relation.|
|Introductions||A good introduction is Piccinini 2010|
Quantum Computation (46)
Analog and Digital Computation
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David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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