TRANSCENDENTAL

nonnatural, otherworldly, preternatural, transcendental

(adjective) existing outside of or not in accordance with nature; “find transcendental motives for sublunary action”-Aldous Huxley

transcendental

(adjective) of or characteristic of a system of philosophy emphasizing the intuitive and spiritual above the empirical and material

Source: WordNet® 3.1

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Noun

transcendental (plural transcendentals)

(obsolete) A transcendentalist.

(philosophy, metaphysics, Platonism, Christian theology, usually, in the plural) 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.

Adjective

transcendental (comparative more transcendental, superlative most transcendental)

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

Superior; surpassing all others; extraordinary; transcendent.

Mystical or supernatural.

(algebra, number theory, field theory, of a number or an element of an extension field) Not algebraic (i.e, not the root of any polynomial that has positive degree and rational coefficients).

(algebra, field theory, of an extension field) That contains elements that are not algebraic.

Antonyms

• (not the root of a polynomial with rational coefficients): algebraic

• (containing elements that are not the root of a polynomial): algebraic

Hypernyms

• (not the root of a polynomial with rational coefficients): irrational

Source: Wiktionary

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Tran`scen*den"tal, a. Etym: [Cf. F. transcendantal, G. transcendental.]

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

2. (Philos.)

Definition: 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.

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

Note: In mathematics, a quantity is said to be transcendental relative to another quantity when it is expressed as a transcendental function of the latter; thus, ax, 102x, log x, sin x, tan x, etc., are transcendental relative to x. Transcendental curve (Math.), a curve in which one ordinate is a transcendental function of the other.

– Transcendental equation (Math.), an equation into which a transcendental function of one of the unknown or variable quantities enters.

– Transcendental function. (Math.) See under Function.

Syn.

– Transcendental, Empirical. These terms, with the corresponding nouns, transcendentalism and empiricism, are of comparatively recent origin. Empirical refers to knowledge which is gained by the experience of actual phenomena, without reference to the principles or laws to which they are to be referred, or by which they are to be explained. Transcendental has reference to those beliefs or principles which are not derived from experience, and yet are absolutely necessary to make experience possible or useful. Such, in the better sense of the term, is the transcendental philosophy, or transcendentalism. Each of these words is also used in a bad sense, empiricism applying to that one-sided view of knowledge which neglects or loses sight of the truths or principles referred to above, and trusts to experience alone; transcendentalism, to the opposite extreme, which, in its deprecation of experience, loses sight of the relations which facts and phenomena sustain to principles, and hence to a kind of philosophy, or a use of language, which is vague, obscure, fantastic, or extravagant.

Tran`scen*den"tal, n.

Definition: A transcendentalist. [Obs.]

Source: Webster’s Unabridged Dictionary 1913 Edition

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