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Aspects of Reference and Information | Song | NeuroQuantology


DOI: 10.14704/nq.2017.15.2.1011

Aspects of Reference and Information

Daegene Song

Abstract


The self-reference method has yielded some of the most important results in the study of mathematical logic and computation. The physical realization of the self-reference method has been said to be the self-observation of consciousness, which suggests a non-computable element (i.e., there exists a natural phenomenon that cannot be computed). However, the contradiction or paradox in self-reference may be solved by adopting cyclical time. Contrary to the familiar notion of time as a linear progression, the cyclical concept of time suggests that time circulates. In this cyclical time model (i.e., ), the non-computable element in self-observation can be considered to be computable.

Keywords


Self-reference, self-observation, cyclical time

Full Text:

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References


Arendt H. The life of the mind, New York, NY: Harcourt Brace Jovanovich, 1978.

Bolander T. Self-reference and logic. Phi News 2002; 1: 9-44.

Boman T. Hebrew thought compared with Greek, WW Norton & Company, 1960.

Deutscher M. Judgment after Arendt, Aldershot: Ashgate, 2007.

Frege G. Grundgesetze der Arithmetik: begriffsschriftlich abgeleitet. Pohle, Jena, 1903.

Gödel K. Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I", Monatshefte für Mathematik und Physik, 1931; 38: 173–198.

Harvey RL. Neural Network Principles, Prentice-Hall, Englewood Cliffs, NJ, 1994.

Hilbert D. “Mathematische Problemeâ€, Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Math.-Phys. Klasse, 1900; 253–297. Lecture given at the International Congress of Mathematicians, Paris, 1900. Partial English translation in Ewald (1996, 1096–1105).

Koch C. The Quest for Consciousness: A Neurobiological Approach, Roberts & Company Publishers, 2004.

Meyer U. Times in tense logic. Notre Dame J Formal Logic 2009; 50: 201-219.

Nielsen MA and Chuang I. Quantum computation and quantum information, Cambridge University press, 2000.

Peres A. Quantum theory: concepts and methods, Kluwer, Dordrecht, 1997.

Reynolds M. Axiomatisation and decidability of F and P in cyclical time. J Phil Logic 1994; 23: 197-224.

Russell, B. "Letter to Frege", 1902. In From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931, ed. by J. van Heijenoort (Harvard University Press: Cambridge, MA, 40 1967), 124-125.

Russell S, Norvig P. Artificial Intelligence: A Modern Approach, Prentice Hall, 2nd edition, 2002.

Song D. Non-computability of consciousness. NeuroQuantology 2007; 5: 382-391. arXiv:0705.1617 [quant-ph].

Song D. The P versus NP problem in quantum physics. NeuroQuant 2014; 12: 350-354. arXiv:1402.6970 [physics.gen-ph].

Song D. Quantum measurement and observable universe. 2015. arXiv:1508.03495 [physics.gen-ph].

Turing AM. On computable numbers, with an application to the Entscheidungsproblem. Proc London Math Soc 1936(2); 442: 230-265.


Supporting Agencies

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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