VS.

Algebraic vs. Transcendental

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Algebraicadjective

Of, or relating to, algebra.

Transcendentalnoun

(obsolete) A transcendentalist.

Algebraicadjective

Containing only numbers, letters, and arithmetic operators.

Transcendentalnoun

Any one of the three transcendental properties of being: truth, beauty or goodness, which respectively are the ideals of science, art and religion and the principal subjects of the study of logic, aesthetics and ethics.

Algebraicadjective

Which is a root of some polynomial whose coefficients are rational.

Transcendentaladjective

(philosophy) Concerned with the a priori or intuitive basis of knowledge, independent of experience.

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Algebraicadjective

Whose every element is a root of some polynomial whose coefficients are rational.

Transcendentaladjective

Superior; surpassing all others; extraordinary; transcendent.

Algebraicadjective

Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

Transcendentaladjective

Mystical or supernatural.

Algebraicadjective

Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry.

Transcendentaladjective

Not algebraic (i.e., not the root of any polynomial that has positive degree and rational coefficients).

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Algebraicadjective

progressing by constant multiplicatory factors; - of a series of numbers. Contrasted to arithmetical.

Transcendentaladjective

That contains elements that are not algebraic.

Algebraicadjective

of or relating to algebra;

‘algebraic geometry’;

Transcendentaladjective

Supereminent; surpassing others; as, transcendental being or qualities.

Transcendentaladjective

In the Kantian system, of or pertaining to that which can be determined a priori in regard to the fundamental principles of all human knowledge. What is transcendental, therefore, transcends empiricism; but is does not transcend all human knowledge, or become transcendent. It simply signifies the a priori or necessary conditions of experience which, though affording the conditions of experience, transcend the sphere of that contingent knowledge which is acquired by experience.

Transcendentaladjective

Vaguely and ambitiously extravagant in speculation, imagery, or diction.

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Transcendentalnoun

A transcendentalist.

Transcendentaladjective

existing outside of or not in accordance with nature;

‘find transcendental motives for sublunary action’;

Transcendentaladjective

of or characteristic of a system of philosophy emphasizing the intuitive and spiritual about the empirical and material

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