What does transcendentality mean?

Definitions for transcendentality
tran·scen·den·tal·i·ty

This dictionary definitions page includes all the possible meanings, example usage and translations of the word transcendentality.

Wiktionary

  1. transcendentalitynoun

    The state or condition of being transcendental.

Wikipedia

  1. transcendentality

    In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are π and e.Though only a few classes of transcendental numbers are known—partly because it can be extremely difficult to show that a given number is transcendental—transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers comprise a countable set, while the set of real numbers and the set of complex numbers are both uncountable sets, and therefore larger than any countable set. All transcendental real numbers (also known as real transcendental numbers or transcendental irrational numbers) are irrational numbers, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental. Hence, the set of real numbers consists of non-overlapping rational, algebraic non-rational and transcendental real numbers. For example, the square root of 2 is an irrational number, but it is not a transcendental number as it is a root of the polynomial equation x2 − 2 = 0. The golden ratio (denoted φ {\displaystyle \varphi } or ϕ {\displaystyle \phi } ) is another irrational number that is not transcendental, as it is a root of the polynomial equation x2 − x − 1 = 0. The quality of a number being transcendental is called transcendence.

Webster Dictionary

  1. Transcendentalitynoun

    the quality or state of being transcendental

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Numerology

  1. Chaldean Numerology

    The numerical value of transcendentality in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of transcendentality in Pythagorean Numerology is: 6

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"transcendentality." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/transcendentality>.

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