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metageometry

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metageometry - definition and meaning - Wordnik
noun A system of geometry which omits or reverses some one or more of the explicit or implicit postulates of ordinary geometry , such as that space has but three dimensions, that all points of space have like neighboring places, that every pair of unbounded straight lines which are in one plane and do not cut one ... www.wordnik.com
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The History of Metageometry | HackerNoon
The projective scheme of coordinates consists of a series of numbers, of which each represents a certain anharmonic ratio and denotes one and ... hackernoon.com
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metageometry - Wiktionary, the free dictionary
From meta- + geometry. Noun. edit. metageometry (countable and uncountable, plural metageometries). non-Euclidean geometry. Related terms. edit. en.wiktionary.org
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metageometry
metageˈometry [See meta-.] The geometry of non-Euclidean space. So metageˈometer, one who studies metageometry. metageoˈmetrical a., pertaining to metageometry. ˌmetageomeˈtrician = metageometer.1882 Stallo Concepts Mod. Physics 258 ‘Space in general’ (as distinguished from ‘flat space’, in the meta... Oxford English Dictionary
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Metamathematics - Wikipedia
Metamathematics is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other ... en.wikipedia.org
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metageometry, n. meanings, etymology and more | Oxford English ...
There are two meanings listed in OED's entry for the noun metageometry. See 'Meaning & use' for definitions, usage, and quotation evidence. See meaning ... www.oed.com
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Jeremiah J. Callahan
A Proof of the Parallel Theory and a Critique of Metageometry claimed to have proved Euclid's fifth "parallel" postulate, by re-ordering the logical structure wikipedia.org
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metaGeometry / metaGeometria - Jan Kubasiewicz
As concept, 'metaGeometry' is the visual study of spatial and temporal order through contemplation of relationships among forms. As practice, 'metaGeometry' is ... jankuba.com
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A Short History of Metageometry | An Essay on the Foundations of G
The liquefaction of Euclidean orthodoxy is the axiom of parallels, and it was by the refusal to admit this axiom without proof that Metageometry began. www.taylorfrancis.com
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[2503.19867] Geometric Meta-Learning via Coupled Ricci Flow - arXiv
This paper establishes a unified framework integrating geometric flows with deep learning through three fundamental innovations. arxiv.org
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metageometry | Curious about Life, The Universe, and Everything
In this article, we explore a new kind of geometry, one that takes a step further from the Euclidean Geometry we all know and love. twishmay.com
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THE NECESSARY POSTULATES OF GEOMETRY. - Nature
The problem of separating the postulates into such classes is the problem of transcendental geometry, or, as the author calls it, Metageometry. Mr. Russell ... www.nature.com
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non-Euclidean
non-Euˈclidean, -ian, a. [non- 3.] Not Euclidean or in accordance with the principles of Euclid. non-Euclidean geometry: a system of geometry involving the study of the consequences which follow from denying (or, in a wider use, merely dispensing with) any of the assumptions on which the Euclidean s... Oxford English Dictionary
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meta-
meta-, prefix (ˈmɛtə) before a vowel normally met- (also before h, the resulting meth- being pronounced (mɛθ)), repr. Gr. µετα-, µετ- (µεθ-), which occurs separately as the prep. µετά with, after; etymologically corresponding to mid prep. In Gr. the prefix is joined chiefly to verbs and verbal deriv... Oxford English Dictionary
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