Transcendence may refer to:

• Transcendence (mathematics)
  • Transcendental number, a real number that is not the root of any polynomial with rational coefficients
  • Transcendental element, an element of a field extension that is not the root of any polynomial with coefficients from the base field
  • Transcendental function, a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials
• Transcendence (philosophy), climbing or going beyond some philosophical concept or limit
• Transcendence (religion), the concept that God is a being who is entirely above the created universe.
• Transcendentalism, a philosophical movement that advocates that there is an ideal spiritual state that 'transcends' the physical and empirical
• Transcendental idealism, a doctrine founded by 18th-century German philosopher Immanuel Kant
• Transcendence (novel), a novel by Charles Sheffield
• Transcendent (novel), a science-fiction novel by Stephen Baxter
• Transcendence (game), a sci-fi game by George Moromisato.

For other possible meanings, see Transcendental. In mathematics, a transcendental function is a function which is not expressible as a composition of a finite number of elementary operations, or inverses of functions so constructible, where the elementary operations consist of addition, multiplication, taking additive or multiplicative inverses, and integer root extraction. ... In mathematics, a transcendental number is any complex number that is not algebraic, that is, not the solution of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. ... In mathematics, the roots of polynomials are in abstract algebra called algebraic elements. ... A transcendental function is a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials. ... In philosophy, transcendental/transcendence, has three different but related primary meanings, all of them derived from the words literal meaning (from Latin), of climbing or going beyond: one that originated in Ancient philosophy, one in Medieval philosophy and one in modern philosophy. ... In religion, transcendence is a condition or state of being that surpasses, and is independent of, physical existence. ... Transcendentalism was a group of new ideas in literature, religion, culture, and philosophy that emerged in the New England region of the United States of America in the early-to mid-19th century. ... Transcendental idealism is a doctrine founded by 18th-century German philosopher Immanuel Kant. ... Transcendence (1992) is a novel by Charles Sheffield in the Heritage Universe series. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Please wikify (format) this article or section as suggested in the Guide to layout and the Manual of Style. ... Transcendental in philosophical contexts In philosophy, transcendental experiences are experiences of an exclusively human nature that are other-worldly or beyond the human realm of understanding. ...

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