transcendental

Beyond one's ordinary experience; extraordinary.

Synonym of transcendent (“surpassing usual limits; excelling; extraordinary”).

Mystical, superhuman, supernatural.

Of an element of an extension field: not algebraic, that is, not the root of any polynomial that has positive degree and rational coefficients; also, of an extension field: that contains elements which are not algebraic.

Of a function or number: not algebraic.

In the philosophy of Immanuel Kant (1724–1804) or similar philosophies: concerned with the a priori or intuitive basis of knowledge, independent of experience.

In the philosophy associated with Ralph Waldo Emerson (1803–1882): of or relating to transcendentalism (“a philosophy which stresses intuition and spirituality”).

Existing in the imagination; abstract, conceptual.

In the philosophy of Aristotle (384–322 B.C.E.): synonym of transcendent (“transcending or extending beyond a single category”); also, synonym of metaphysical (“of or relating to the basic structure of reality”).

A thing which is transcendental (all adjective senses).

[in the plural] Any one of the transcendental properties of being, especially beauty, goodness, and truth—which are respectively the ideals of art, religion, and science, and thus the principal subjects of the study of aesthetics, ethics, and logic.

An element of an extension field, an extension field, a function, or a number which is not algebraic.

(no longer used) Synonym of transcendentalist (“one who believes in transcendentalism; a philosopher who asserts that true knowledge is obtained by faculties of the mind that transcend sensory experience”).