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Intelligence and Reference

Formal Ontology of the Natural Computation

  • Chapter
Computing Nature

Part of the book series: Studies in Applied Philosophy, Epistemology and Rational Ethics ((SAPERE,volume 7))

Abstract

In a seminal work published in 1952, “The chemical basis of morphogenesis”, A. M. Turing established the core of what today we call “natural computation” in biological systems, intended as self-organizing dissipative systems. In this contribution we show that a proper implementation of Turing’s seminal idea cannot be based on diffusive processes, but on the coherence states of condensed matter according to the dissipative Quantum Field Theory (QFT) principles. This foundational theory is consistent with the intentional approach in cognitive neuroscience, as far as it is formalized in the appropriate ontological interpretation of the modal calculus (formal ontology). This interpretation is based on the principle of the “double saturation” between a singular argument and its predicate that has its dynamical foundation in the principle of the “doubling of the degrees of freedom” between a brain state and the environment, as an essential ingredient of the mathematical formalism of dissipative QFT.

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References

  1. Turing, A.M.: On computable numbers with an application to the Entscheidung problem. Proceedings of the London Mathematical Society 42, 230–265 (1936)

    Article  MathSciNet  Google Scholar 

  2. Turing, A.M.: Systems of logic based on ordinals. Proceedings of the London Mathematical Society 45, 161–228 (1939)

    Article  MathSciNet  Google Scholar 

  3. Turing, A.M.: Lecture to the London Mathematical Society on 20 February 1947. In: Ince, D.C. (ed.) Collected Works, I: Mechanical Intelligence, pp. 87–105. North Holland, Amsterdam (1992)

    Google Scholar 

  4. Turing, A.M.: Intelligent Machinery, report for the National Physical Laboratory. In: Ince, D.C. (ed.) Collected Works, I: Mechanical Intelligence, p. 106. North Holland, Amsterdam (1992/1948)

    Google Scholar 

  5. Turing, A.M.: The chemical basis of morphogenesis. Phil. Trans. R. Soc. London B 237, 37–72 (1952)

    Article  Google Scholar 

  6. Dodig-Crnkovic, G.: The significance of models of computation. From Turing model to natural computation. Mind and Machine (2011), doi:10.1007/s11023-011-9235-1

    Google Scholar 

  7. Dodig-Crnkovic, G.: Physical computation as dynamics of form that glues everything together. Information 3, 204–218 (2012)

    Article  Google Scholar 

  8. Cocchiarella, N.B.: Logic and ontology. Axiomathes 12, 117–150 (2001)

    Article  Google Scholar 

  9. Cocchiarella, N.B.: Formal Ontology and Conceptual Realism. Springer, Berlin (2007)

    MATH  Google Scholar 

  10. Basti, G.: Ontologia formale: per una metafisica post-moderna. In: Strumia, A. (ed.) Il problema dei fondamenti. Da Aristotele, a Tommaso d’Aquino, all’Ontologia Formale, pp. 193–228. Cantagalli, Siena (2007)

    Google Scholar 

  11. Basti, G.: Ontologia formale. Tommaso d’Aquino ed Edith Stein. In: Ales-Bello, A., Alfieri, F., Shahid, M. (eds.) Edith Stein, Hedwig Conrad-Martius, Gerda Walter. Fenomenologia della persona, della vita e della comunità, Laterza, Bari, pp. 107–388 (2011)

    Google Scholar 

  12. Meixner, U.: The theory of ontic modalities. Ontos Verlag, Frankfurt (2007)

    Google Scholar 

  13. Tarski, A.: The Concept of Truth in Formalized Languages. In: Corcoran, J. (ed.) Logic, Semantics, Metamathematics, 2nd edn., Hackett, Indianapolis IN, pp. 152–278 (1983, 1935)

    Google Scholar 

  14. Carnap, R.: Testability and meaning. Philosophy of Science 3-4, 419–461 (1936)

    Article  Google Scholar 

  15. Putnam, H.: The meaning of ’meaning’. In: Philosophical Papers II: Mind, Language and Reality, pp. 215–271. Cambridge UP, Cambridge (1975)

    Chapter  Google Scholar 

  16. Fodor, J.A.: Metodological solipsism considered as a resarch strategy in cognitive psychology. Behavioral and Brain Sciences 3-1, 63–73 (1980)

    Article  Google Scholar 

  17. Quine, W.V.O.: Sticks and stones or the ins and the outs of existence. In: Rounder, L.S. (ed.) On Nature, Boston Univ. Studies in Philosophy and Religion, vol. 6, pp. 13–26. Notre Dame UP, Notre Dame (1984)

    Google Scholar 

  18. Basti, G., Perrone, A.L.: Intentionality and Foundations of Logic: a New Approach to Neurocomputation. In: Kitamura, T. (ed.) What Should be Computed to Understand and Model Brain Function? From Robotics, Soft Computing, Biology and Neuroscience to Cognitive Philosophy, pp. 239–288. World Publishing, Singapore (2001)

    Chapter  Google Scholar 

  19. Basti, G., Perrone, A.L.: Le radici forti del pensiero debole. Dalla metafisica, alla matematica, al calcolo. Il Poligrafo and Lateran UP, Padua-Rome (1996)

    Google Scholar 

  20. Basti, G., Perrone, A.L.: Chaotic neural nets, computability, undecidability. An outlook of computational dynamics. International Journal of Intelligent Systems 10, 41–69 (1995)

    Article  MATH  Google Scholar 

  21. Kripke, S.: Naming and necessity. Harvard UP, Cambridge (1980)

    Google Scholar 

  22. Kripke, S.: Outline of a theory of truth. The Journal of Philosophy 72-19, 690–716 (1975)

    Article  Google Scholar 

  23. Kleene, S.C.: Introduction to meta-mathematics. North Holland, Amsterdam (1952)

    Google Scholar 

  24. Penrose, R.: Shadows of the mind. A search for the missing science of consciousness. Oxford UP, Oxford (1996)

    Google Scholar 

  25. Blackburn, P., De Rijke, M., Venema, Y.: Modal logic. Cambridge tracts in theoretical computer science. Cambridge UP, Cambridge (2010)

    Google Scholar 

  26. Lewis, C.I.: Implication and the Algebra of Logic. Mind 21, 522–531 (1912)

    Article  Google Scholar 

  27. Lewis, C.I.: The Calculus of Strict Implication. Mind 23, 240–247 (1914)

    Article  Google Scholar 

  28. Lewis, C.I.: A Survey of Symbolic Logic. University of California Press, Berkeley (1918)

    Google Scholar 

  29. Rovelli, C.: Relational quantum mechanics. Int. J. Theor. Phys. 35, 1637–1678 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  30. Van Fraassen, B.C.: Quantum mechanics. An Empiricist View. Oxford UP, Oxford (1991)

    Book  Google Scholar 

  31. Kochen, S.: A new interpretation of quantum mechanics. In: Mittelstaedt, P., Lahti, P. (eds.) Symposium on the Foundations of Modern Physics, pp. 151–169. World Scientific, Singapore (1985)

    Google Scholar 

  32. Dieks, D.: Modal Interpretation of Quantum Mechanics, Measurements, and Macroscopic Behaviour. Physical Review A 49, 2290–2300 (1994)

    Article  Google Scholar 

  33. Dieks, D.: Quantum mechanics: an intelligible description of objective reality? Foundations of Physics 35, 399–415 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  34. Dickson, M., Dieks, D.: Modal Interpretations of Quantum Mechanics. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy (Spring 2009 edn.) (2009), http://plato.stanford.edu/archives/spr2009/entries/qm-modal/

  35. Burgess, J.P.: Philosophical logic (Princeton foundations of contemporary philosophy). Princeton UP, Princeton (2009)

    Google Scholar 

  36. Galvan, S.: Logiche intensionali. Sistemi proposizionali di logica modale, deontica, epi-stemica, Franco Angeli, Milano (1991)

    Google Scholar 

  37. Davies, P.: Universe from bit. In: Davies, P., Gregersen, N.H. (eds.) Information and the Nature of Reality. From Physics to Metaphysics, pp. 65–91. Cambridge UP, Cambridge (2010)

    Chapter  Google Scholar 

  38. Benioff, P.: Towards A Coherent Theory of Physics and Mathematics: The Theory-Experiment Connection. Foundations of Physics 35, 1825–1856 (2005)

    Article  MathSciNet  Google Scholar 

  39. Vitiello, G.: Stati coerenti e domini coerenti della fisica del vivente (Coherent states and coherent domains of the physics of the living matter). La Medicina Biologica 4, 13–19 (2010)

    Google Scholar 

  40. Frölich, H.: Long range coherence and energy storage in biological systems. Int. J. of Quantum Chemistry 2, 641 (1968)

    Article  Google Scholar 

  41. Popp, F.A., Yan, Y.: Delayed luminescence of biological systems in terms of coherent states. Physics Letters A293, 93–97 (2002)

    MathSciNet  Google Scholar 

  42. Del Giudice, E., Doglia, S., Milani, M., Vitiello, G.: Spontaneous symmetry breakdown and boson condensation in biology. Phys. Lett. 95A, 508 (1983)

    Google Scholar 

  43. Del Giudice, E., Doglia, S., Milani, M., Vitiello, G.: A quantum field theoretical approach to the collective behavior of biologicl systems. Nucl. Phys. B251, 375 (1985)

    Article  Google Scholar 

  44. Del Giudice, E., Doglia, S., Milani, M., Vitiello, G.: Electromagnetic field and spontaneous symmetry breakdown in biological matter. Nucl. Phys. B275, 185 (1986)

    Article  Google Scholar 

  45. Del Giudice, E., Preparata, G., Vitiello, G.: Water as a free electron laser. Phys. Rev. Lett. 61, 1085 (1988)

    Article  Google Scholar 

  46. Del Giudice, E., Vitiello, G.: The role of the electromagnetic field in the formation of do-mains in the process of symmetry breaking phase transitions. Phys. Rev. A74, 022105 (2006)

    Google Scholar 

  47. Vitiello, G.: Coherence and electromagnetic field in living matter. Nanobiology 1, 221 (1992)

    Google Scholar 

  48. Nambu, Y.: Quasiparticles and Gauge Invariance in the Theory of Superconductivity. Physical Review 117, 648–663 (1960)

    Article  MathSciNet  Google Scholar 

  49. Goldstone, J.: Field Theories with Superconductor Solutions. Nuovo Cimento 19, 154–164 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  50. Goldstone, J., Salam, A., Weinberg, S.: Broken Symmetries. Physical Review 127, 965–970 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  51. Itzykson, C., Zuber, G.: Quantum field theory. McGraw-Hill, New York (1980)

    Google Scholar 

  52. Umezawa, H.: Advanced field theory: micro, macro and thermal concepts. American Institute of Physics, New York (1993)

    Google Scholar 

  53. Basti, G., Perrone, A.L.: Neural nets and the puzzle of intentionality. In: Neural Nets. WIRN Vietri-01. Proceedings of 12th Italian Workshop on Neural Nets, Vietri sul Mare, Salerno, Italy, May 17-19. Springer, Berlin (2002)

    Google Scholar 

  54. Basti, G.: Logica della scoperta e paradigma intenzionale nelle scienze cognitive. In: Carere-Comes, T. (ed.) Quale scienza per la psicoterapia? Atti del III Congresso nazionale della SEPI (Society for the Exploration of Psychotherapy Integration). Florence Art Edition, Firenze, pp. 183–216 (2009)

    Google Scholar 

  55. Freeman, W.J., Vitiello, G.: Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics. Physics of Life Reviews 3-2, 93–118 (2006)

    Article  Google Scholar 

  56. Freeman, W.J., Vitiello, G.: Dissipation and spontaneous symmetry breaking in brain dynamics. Journal of Physics A: Mathematical and Theoretical 41-30, 304042 (2008)

    Google Scholar 

  57. Vitiello, G.: Coherent states, fractals and brain waves. New Mathematics and Natural Computing 5-1, 245–264 (2009)

    Article  Google Scholar 

  58. Freenan, W.J.: Origin, structure, and role of background EEG activity. Part 1. Analytic amplitude. Clin. Neurophysiol. 115, 2077–2088 (2004)

    Article  Google Scholar 

  59. Freeman, W.J.: Origin, structure, and role of background EEG activity. Part 2. Analytic phase. Clin. Neurophysiol. 115, 2089–2107 (2004)

    Article  Google Scholar 

  60. Freeman, W.J.: Origin, structure, and role of background EEG activity. Part 3. Neural frame classification. Clin. Neurophysiol. 116, 111–1129 (2005)

    Article  Google Scholar 

  61. Freeman, W.J.: Origin, structure, and role of background EEG activity. Part 4. Neural frame simulation. Clin. Neurophysiol. 117, 572–589 (2006)

    Article  Google Scholar 

  62. Freeman, W.J., Burke, B.C., Holmes, M.D., Vanhatalo, S.: Spatial spectra of scalp EEG and EMG from awake humans. Clin. Neurophysiol. 114, 1055–1060 (2003)

    Article  Google Scholar 

  63. Freeman, W.J., Ga’al, G., Jornten, R.: A neurobiological theory of meaning in perception. Part 3. Multiple cortical areas synchronize without loss of local autonomy. Intern. J. Bi-furc. Chaos 13, 2845–2856 (2003)

    Article  MATH  Google Scholar 

  64. Freeman, W.J., Rogers, L.J.: A neurobiological theory of meaning in perception. Part 5. Multicortical patterns of phase modulation in gamma EEG. Int. J. Bifurc. Chaos 13, 2867–2887 (2003)

    Article  MATH  Google Scholar 

  65. Umezawa, H.: Development in concepts in quantum field theory in half century. Math. Japonica 41, 109–124 (1995)

    MathSciNet  MATH  Google Scholar 

  66. Celeghini, E., Rasetti, M., Vitiello, G.: Quantum dissipation. Annals of Phys. 215, 156–170 (1992)

    Article  MathSciNet  Google Scholar 

  67. Vitiello, G.: The dissipative brain. In: Globus, G.G., Pribram, K.H., Vitiello, G. (eds.) Brain and Being - At the boundary between Science, Philosophy, Language and Arts, pp. 317–330. John Benjamins Pub. Co., Amstedam (2004)

    Google Scholar 

  68. Bateson, G.: Mind and nature: a necessary unity. Hampton Press, Princeton (2002)

    Google Scholar 

  69. Marturana, H.R., Varela, F.J.: Autopoiesis and cognition. The realization of the living. Reidel, Boston (1980)

    Book  Google Scholar 

  70. Clark, A.: Supersizing the mind. Embodiment, action and cognitive extension. Oxford University Press, Oxford (2008)

    Google Scholar 

  71. Noë, A.: Out of our heads. Why you are not your brain and other lessons from the biology of consciousness. Hill and Wang Publishers, New York (2009)

    Google Scholar 

  72. Perrone, A.L.: A formal scheme for avoiding undecidable problems. Applications to chaotic behavior characterization and parallel computation. In: Andersson, S.I. (ed.) Analysis of Dynamical and Cognitive Systems. LNCS, vol. 888, pp. 9–52. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  73. Freeman, W.J.: Nonlinear dynamics and the intention of Aquinas. Mind and Matter 6-2, 207–234 (2008)

    Google Scholar 

  74. Freeman, W.J.: Foreword. In: Freeman, W.J. (ed.) How brains make up their brains (Japanese Edition) (2012) (in press)

    Google Scholar 

  75. Searle, J.R.: Intentionality. An essay in the philosophy of mind. Cambridge UP, New York (1993)

    Google Scholar 

  76. Zalta, E.: Intensional logic and the metaphysics of intentionality. MIT Press, Cambridge (1988)

    Google Scholar 

  77. Venema, Y.: Algebras and co-algebras. In: Blackburn, P., van Benthem, J.F., Wolter, F. (eds.) Handbook of Modal Logic, pp. 331–426. Elsevier, Amsterdam (2007)

    Chapter  Google Scholar 

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  1. Faculty of Philosophy, Lateran University, Rome, Italy

    Gianfranco Basti

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  1. Gianfranco Basti
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Correspondence to Gianfranco Basti .

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Editors and Affiliations

  1. , School of Innovation, Design and Eng., Mälardalen University, Västerås, 72123, Sweden

    Gordana Dodig-Crnkovic

  2. , Faculty of Philosophy, Pontifical Lateran University, Piazza S. Giovanni in Laterano 4, Vatican City, 00120, Italy

    Raffaela Giovagnoli

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Basti, G. (2013). Intelligence and Reference. In: Dodig-Crnkovic, G., Giovagnoli, R. (eds) Computing Nature. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37225-4_8

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  • DOI: https://doi.org/10.1007/978-3-642-37225-4_8

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