Critique of computational reason in the natural sciences

Fundamental Concepts In Computer Science

Volumn , Issue , 2009, Pages 43-70

  Longo, Giuseppe ^a  

^a ECOLE POLYTECHNIQUE   (France)

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[No Author keywords available]

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EID: 85116531163     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9781848162914_0003     Document Type: Chapter

References (23)

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2. K. Alligood, T. Sauer and J. Yorke, Chaos: An Introduction to Dynamical Systems (Springer, New York, 2000).
3. F. Bailly and G. Longo, Mathématiques et sciences de la nature. La singularité physique du vivant (Hermann, Paris, 2006) (Introduction in English and in French, downloadable, as Longo’s papers below).
4. F. Bailly and G. Longo, Randomness and determination in the interplay between the continuum and the discrete, Special issue: Mathematical Structures in Computer Science 17(2) (2007) 289-307.
5. J. S. Bell, On the Einstein-Podolsky-Rosen paradox, Physics 1, (1964) 195.
6. M. Bitbol, L’aveuglante proximité du rel (Flammarion, 2000).
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8. D. Bohm, The paradox of Einstein, Rosen and Podolsky, Quantum Th. (1951) 611.
9. D. Bohm, La plénitude de l’univers (Le Rocher, Paris, 1987).
10. M. Cappuccio, Traces of computational mind: from wax tablets to Turing machine Géométrie et cognition, ed. Longo, Editions rue d’Ulm (Tome 124, s.5, 2003) 43-60.
11. R. L. Devaney, An Introduction to Chaotic Dynamical Systems (Addison-Wesley, 1989).
12. C. Herrenschmidt et al., eds. L’Orient et nous (Albin-Michel, 1996).
13. M. Hoyrup, A. Kolcak and G. Longo, Computability and the morphological complexity of some dynamics on continuous domains. Invited survey, Theoretical Computer Science 398 (2008) 170-182.
14. J. Laskar, Large scale chaos in the solar system, Astron. Astrophys. 287, (1994) L9-L12.
15. J. Lighthill, The recent recognized failure of predictability in Newtonian dynamics, Proc. R. Soc. Lond. A 407, (1986) 35-50.
16. G. Longo, “Laplace, Turing and the “imitation game” impossible geometry: randomness, determinism and programs in Turing’s test. eds. R. Epstein, G. Roberts and G. Beber, The Turing Test Sourcebook (Dordrecht, The Netherlands, Kluwer, 2007).
17. G. Longo and P.-E. Tendero, The differential method and the causal incompleteness of Programming Theory in Molecular Biology, Foundations of Science 12 (2007) 337-366. (a longer french version is in “Evolution des concepts fondateurs de la biologie du XXIe siècle”, (Miquel ed.) DeBoeck, Paris, 2008).
18. M. Mugur-Schächter, On a crucial problem in probabilities, and solution, to appear in Math. Struct. in Computer Science, (2009).
19. C. Rojas, Computability and Information in models of Randomness and Chaos, Math. Struct. in Computer Science 18 (2008) 291-307.
20. C. Sini, Filosofia e scrittura (Roma-Bari, Laterza, 1994).
21. A. M. Turing, Computing machines and intelligence, Mind, LIX, 236, (1950) 433-460.
22. A. M. Turing, The chemical basis of morphogenesis, Philo. Trans. Royal Soc. B237, (1952) 37-72.
23. W. H. Zurek, Decoherence and the transition from the quantum to the classical, Phys. Today, (October 1991) 36.