A transcendental function is a function that is not algebraic. It cannot be expressed as a polynomial whose coefficients are themselves polynomials with rational coefficients. Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions.
Read more about Transcendental Function: Definition, Examples, Algebraic and Transcendental Functions, Dimensional Analysis, Exceptional Set
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“Philosophical questions are not by their nature insoluble. They are, indeed, radically different from scientific questions, because they concern the implications and other interrelations of ideas, not the order of physical events; their answers are interpretations instead of factual reports, and their function is to increase not our knowledge of nature, but our understanding of what we know.”
—Susanne K. Langer (1895–1985)