Transcendental

1. (philosophy) Concerned with the a priori or intuitive basis of knowledge, independent of experience.
2. Superior; surpassing all others; extraordinary; transcendent.
3. Mystical or supernatural.
4. (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).
5. (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