Building Infinite Machines

Building Infinite Machines

We describe in some detail how to build an infinite computing machine within a continuous Newtonian universe. The relevance of our construction to the Church‐Turing thesis and the Platonist‐Intuitionist debate about the nature of mathematics is also discussed.

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Veröffentlicht in:The British journal for the philosophy of science 2001-12, Vol.52 (4), p.671-682
1. Verfasser: Davies, E. B.
Format: Artikel
Sprache:eng
Schlagworte:
Calculating machines
Computer memory
History of science and technology
Integers
Logic and calculus
Machinery
Mathematical Platonism
Mathematical sciences and techniques
Newtonianism
Platonism
Spacetime
Thought experiments
Turing machines
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Beschreibung
Zusammenfassung:We describe in some detail how to build an infinite computing machine within a continuous Newtonian universe. The relevance of our construction to the Church‐Turing thesis and the Platonist‐Intuitionist debate about the nature of mathematics is also discussed.
ISSN:0007-0882
1464-3537
DOI:10.1093/bjps/52.4.671