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 [Scientific Manuscript] (Unpublished)



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
[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).

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[7] L. Lovasz: One Mathematics .

[8] Moshe Klein, Doron Shadmi: Organic Mathematics, International Journal of Pure and Applied Mathematics, volume 49 No. 3 2008, 329-340 .

[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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