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Shadmi, Doron Zeno's Achilles\Tortoise Race and Reconsiderations of Some Mathematical Paradigms. [Scientific Manuscript] (Unpublished)

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Abstract

An original observation of Zeno's Achilles\Tortoise Race Paradox is introduced. It leads to novel understanding of the foundations of mathematical science, especially by observing Nonlocality and Locality as its fundamental building-blocks. Locality is precisely its own formula, thus this formula cannot be used as a solution for anything else but its own unique case. Nonlocality is a formula that can be used as a solution for more than one case. Locality on its own is total isolation. Non-locality on its own is total connectivity. No total realm is researchable. A researchable realm only exists if Non-locality and Locality are not total. Under Nonlocality\ Locality Linkage we get a universe where Non-locality is its common law; this is expressed by many Localities that are gathered by the common law, but can never be Nonlocal,as is the common law. Non-locality\Locality Linkage can be perceived as "The Tree of Knowledge", which is the one organic and ever complex (and therefore non-entropic) realm that enables one, and only one simple law (Non-locality), to be the common knowledge of many Local expressions of it (we show that Leibniz Chaitin Complexity [11] Challenge is the organic incompleteness of Non-locality\Locality Linkage).

Item Type:Scientific Manuscript
Uncontrolled Keywords:Organism, Non-locality, Locality, Distinction, Uncertainty, Redundancy, Researcher, Researched, Organic Number, "The Tree of Knowledge"
Subjects:Q Science
Q Science > Q0 Interdisciplinary sciences > Q01 Interdisciplinary sciences (General)
Divisions:University of Latvia > SR Science and Religion Dialogue. Interdisciplinary Group
References:
[1] Einstein Albert: On the Electrodynamics of Moving Bodies, Annalen der Physik, 17:891, June 30, 1905 (English translation by W. Perrett and G.B. Jeffery).

[2] Einstein Albert (1915): "Die Feldgleichungen der Gravitation (The Field Equations of Gravitation)", Koniglich Preussische Akademie der Wissenschaften: 844–847.

[3] Einstein, Podolsky, Rosen: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Phys. Rev. 47, 777 - 780 (1935).

[4] Aspect Alain: Experimental Tests of Realistic Local Theories via Bell's Theorem, Phys. Rev. Lett. 47, 460 (1981). [5] J. S. Bell, On the Einstein Podolsky Rosen Paradox, Physics 1, 195 (1964).

[6] Bohm David (1952). "A Suggested Interpretation of the Quantum Theory in Terms of "Hidden Variables" I". Physical Review 85: 166–179

[7] L. Lovasz: One Mathematics http://www.cs.elte.hu/~lovasz/berlin.pdf .

[8] Moshe Klein, Doron Shadmi: Organic Mathematics, International Journal of Pure and Applied Mathematics, volume 49 No. 3 2008, 329-340 http://www.geocities.com/complementarytheory/IJPAM-OM.pdf .

[9] A. Khrennikov, Interpretations of Probability, Publisher: Walter de Gruyter; 2 edition (January 15, 2009ISBN-10: 3110207486ISBN-13: 978-3110207484) [10] Hilbert David: Mathematical Problems, Bulletin of The American Mathematical Society, Volume 37. Number 4, Pages 407-436, S 0273- 0979(00)00881-8.

[11] Cristian S. Calude Randomness and Complexity, From Leibniz to Chaitin, Publisher: World Scientific Publishing Company, date: Oct 2007, ISBN: 978-981-277-082-0 978-981-277-082-8

[12] Alba Papa-Ggimaldi The Review of Metaphysics 50 (December 1996): 299-314.

ID Code:120
Deposited By:Mr Doron Shadmi
Deposited On:02 Sep 2010 12:57
Last Modified:02 Sep 2010 13:04

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