English Dictionary

transcendental

IPA（発音記号）

/ˌtɹænsɛnˈdɛntəl/

形容詞

数学 拡大体

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

日本語の意味

（哲学）経験に依存せず、先天的または直感的な認識の土台に関する / 卓越した、他を凌駕する、非凡な、超越した / 神秘的または超自然的な

The philosopher's lecture focused on transcendental arguments claiming that certain concepts are necessary conditions for experience.

その哲学者の講義は、ある概念が経験の必要条件であると主張する先験的な論証に焦点を当てていた。

意味（1）

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

The best way to demonstrate the possibility of something is to show its actuality, for actuality implies possibility. At least since Kant, transcendental philosophies have been on the scene. However, such simple demonstration of the possibility of transcendental philosophy has not been effective and is not likely to be so — so strong is the presumption that transcendental philosophy just could not be possible, or, if it was possible earlier, it is not possible now.

意味（2）

Superior; surpassing all others; extraordinary; transcendent.

意味（3）

Mystical or supernatural.

意味（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).

The theory of transcendental numbers was originated by Liouville in his famous memoir† of 1844 in which he obtained, for the first time, a class, très-étendue, as it was described in the title of the paper, of numbers that satisfy no algebraic equation with integer coefficients.

意味（5）

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

Suppose that F<E is purely transcendental. Show that any simple extension of F contained in E (but not equal to F) is transcendental over F.

more transcendental （ comparative ）

most transcendental （ superlative ）