6533b88bfe1ef96bd12e2c96

RESEARCH PRODUCT

Zeno's Achilles\Tortoise Race and Reconsiderations of Some Mathematical Paradigms

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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).