Algebraic vs. Transcendental — What's the Difference?
Difference Between Algebraic and Transcendental
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Compare with Definitions
Algebraic
Of, relating to, or designating algebra.
Transcendental
Concerned with the a priori or intuitive basis of knowledge as independent of experience.
Algebraic
Designating an expression, equation, or function in which only numbers, letters, and arithmetic operations are contained or used.
Transcendental
Asserting a fundamental irrationality or supernatural element in experience.
Algebraic
Indicating or restricted to a finite number of operations involving algebra.
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Transcendental
Surpassing all others; superior.
Algebraic
Of, or relating to, algebra.
Transcendental
Beyond common thought or experience; mystical or supernatural.
Algebraic
Containing only numbers, letters, and arithmetic operators.
Transcendental
(Mathematics) Of or relating to a real or complex number that is not the root of any polynomial that has positive degree and rational coefficients.
Algebraic
Which is a root of some polynomial whose coefficients are rational.
Transcendental
(obsolete) A transcendentalist.
Algebraic
Whose every element is a root of some polynomial whose coefficients are rational.
Transcendental
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.
Algebraic
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.
Transcendental
(philosophy) Concerned with the a priori or intuitive basis of knowledge, independent of experience.
Algebraic
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.
Transcendental
Superior; surpassing all others; extraordinary; transcendent.
Algebraic
Progressing by constant multiplicatory factors; - of a series of numbers. Contrasted to arithmetical.
Transcendental
Mystical or supernatural.
Algebraic
Of or relating to algebra;
Algebraic geometry
Transcendental
Not algebraic (i.e., not the root of any polynomial that has positive degree and rational coefficients).
Transcendental
That contains elements that are not algebraic.
Transcendental
Supereminent; surpassing others; as, transcendental being or qualities.
Transcendental
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.
Transcendental
Vaguely and ambitiously extravagant in speculation, imagery, or diction.
Transcendental
A transcendentalist.
Transcendental
Existing outside of or not in accordance with nature;
Find transcendental motives for sublunary action
Transcendental
Of or characteristic of a system of philosophy emphasizing the intuitive and spiritual about the empirical and material
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