Transcendence, transcendent, or transcendental may refer to:

Mathematics

Transcendental number In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are and . Though only a few classes ...

, a number that is not the root of any polynomial with rational coefficients *

Algebraic element In mathematics, if is a field extension of , then an element of is called an algebraic element over , or just algebraic over , if there exists some non-zero polynomial with coefficients in such that . Elements of which are not algebraic over ...

or transcendental element, an element of a field extension that is not the root of any polynomial with coefficients from the base field *

Transcendental function In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In other words, a transcendental function "transcends" algebra in that it cannot be expressed alge ...

, a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials *

Transcendental number theory Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation with rational coefficients), in both qualitative and quantitative ways. Transcendence ...

, the branch of mathematics dealing with transcendental numbers and algebraic independence

Music

* ''Transcendence'' (Adil Omar album), a 2018 hip hop album * ''Transcendence'' (Alice Coltrane album), a 1977 jazz album * ''Transcendence'' (Crimson Glory album), a 1988 heavy metal album * ''Transcendence'' (Devin Townsend Project album), a 2016 heavy metal album * "Transcendence" (Lindsey Stirling instrumental), a 2012 instrumental piece * " Transcendence (Segue)", a 2000 progressive metal instrumental piece by Symphony X * ''Transcendental'' (album), a 2006 progressive metal album by To-Mera

Literature

* ''Transcendence'' (Rosenthal book), a 2011 book by Norman E. Rosenthal * ''Transcendence'' (Salvatore novel), a 2002 fantasy novel by R. A. Salvatore * ''Transcendence'' (Sheffield novel), a 1992 science-fiction novel by Charles Sheffield * '' Transcendence: How Humans Evolved Through Fire, Language, Beauty, and Time'', a 2019 book by Gaia Vince * '' Transcendence: My Spiritual Experiences with Pramukh Swamiji'', a 2015 book by A. P. J. Abdul Kalam and Arun Tiwari * ''Transcendent'' (novel), a 2005 science-fiction novel by Stephen Baxter

Philosophy

Transcendence (philosophy) In philosophy, transcendence is the basic ground concept from the word's literal meaning (from Latin), of climbing or going beyond, albeit with varying connotations in its different historical and cultural stages. It includes philosophies, syste ...

, climbing or going beyond some philosophical concept or limit *

Transcendentalism Transcendentalism is a philosophical movement that developed in the late 1820s and 1830s in New England. "Transcendentalism is an American literary, political, and philosophical movement of the early nineteenth century, centered around Ralph Wald ...

, a 19th-century American religious and philosophical movement that advocates that there is an ideal spiritual state that transcends the physical and empirical *

Transcendent theosophy Transcendent theosophy or al-hikmat al-muta’āliyah (حكمت متعاليه), the doctrine and philosophy developed by Persian philosopher Mulla Sadra (d.1635 CE), is one of two main disciplines of Islamic philosophy that are currently live an ...

, a school of Islamic philosophy founded by the 17th-century Persian philosopher Mulla Sadra *

Transcendental perspectivism Transcendental perspectivism (also transcendental perspectivalism) is a hybrid philosophy developed by German-born philosopher, Werner Krieglstein. A blending of Friedrich Nietzsche's perspectivism and the utopian ideals of the transcendentalism ...

, a philosophy blending perspectivism and transcendentalism *

Transcendental idealism Transcendental idealism is a philosophical system founded by German philosopher Immanuel Kant in the 18th century. Kant's epistemological program is found throughout his '' Critique of Pure Reason'' (1781). By ''transcendental'' (a term that dese ...

, a doctrine founded by 18th-century German philosopher Immanuel Kant *

Transcendental realism Initially developed by Roy Bhaskar in his book ''A Realist Theory of Science'' (1975), transcendental realism is a philosophy of science that was initially developed as an argument against epistemic realism of positivism and hermeneutics. The posi ...

, a concept put forward by Roy Bhaskar *

Transcendental arguments A transcendental argument is a deductive philosophical argument which takes a manifest feature of experience as granted, and articulates what must be the case so that such experiences are possible.Transcendental-arguments and Scepticism; Answering ...

, a style of philosophical argumentation *

Transcendental phenomenology Phenomenology (from Greek φαινόμενον, ''phainómenon'' "that which appears" and λόγος, ''lógos'' "study") is the philosophical study of the structures of experience and consciousness. As a philosophical movement it was founded i ...

, a field of phenomenological inquiry developed by Edmund Husserl *

Transcendentals The transcendentals ( la, transcendentalia, from transcendere "to exceed") are the properties of being, nowadays commonly considered to be truth, beauty, and goodness. The concept arose from medieval scholasticism. Viewed ontologically, the t ...

, religious and philosophical properties of being

Religion

Transcendence (religion) In religion, transcendence is the aspect of a deity's nature and power that is completely independent of the material universe, beyond all known physical laws. This is contrasted with immanence, where a god is said to be fully present in th ...

, the aspect of a god wholly independent of the material universe *

Transcendental Meditation Transcendental Meditation (TM) is a form of silent mantra meditation advocated by the Transcendental Meditation movement. Maharishi Mahesh Yogi created the technique in India in the mid-1950s. Advocates of TM claim that the technique promotes ...

, a meditation technique introduced by Maharishi Mahesh Yogi *

, religious and philosophical properties of being

Other

* ''Transcendence'' (2012 film), a Chinese film * ''Transcendence'' (2014 film), an American film starring Johnny Depp and Morgan Freeman *

Transcendence (band) Transcendence is an alternative rock band formed by Ed Hale in 2000. The band is a musical collective of musicians from the Miami and New York City music scenes. Members include Ed Hale (lead vocals and guitar), Fernando Perdomo Fernando J ...