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Counting information: A note on physicalized numbers (1996)

Rotman, Brian

Springer

Minds and machines 6 (1996), S. 229-238

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ISSN: 1572-8641

Keywords: Continuum ; counting ; energy ; infinite ; information ; Landauer ; limits ; physical

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Philosophy

Notes: Abstract Existing work on the ultimate limits of computation has urged that the apparatus of real numbers should be eschewed as an investigative tool and replaced by discrete mathematics. The present paper argues for a radical extension of this viewpoint: not only the continuum but all infinitary constructs including the rationals and the potential infinite sequence of whole numbers need to be eliminated if a self-consistent investigative framework is to be achieved.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00391287

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