transendenttisiä

Transendenttiset is a Finnish term that translates to "transcendental" in English. In philosophy, it refers to that which is beyond or independent of ordinary experience and knowledge. This concept is often associated with the works of Immanuel Kant, who distinguished between empirical knowledge, derived from the senses, and transcendental knowledge, which deals with the conditions of possibility for experience itself. Transcendental arguments, for instance, seek to demonstrate the necessity of certain concepts or structures for any coherent experience.

In mathematics, the term "transcendental numbers" refers to numbers that are not algebraic. Algebraic numbers are roots of polynomial equations with integer coefficients. Transcendental numbers, on the other hand, cannot be expressed as such roots. Famous examples include pi (π) and Euler's number (e). The existence of transcendental numbers was a significant discovery, revealing a richer and more complex landscape within the number system than previously understood. The concept highlights the existence of mathematical objects that lie outside the realm of algebraic manipulation.