Transcendence, transcendent, or transcendental may refer to:

Mathematics

Transcendental number In mathematics, a transcendental number is a real or complex number that is not algebraic: that is, not the root of a non-zero polynomial with integer (or, equivalently, rational) coefficients. The best-known transcendental numbers are and . ...

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

Algebraic element In mathematics, if is an associative algebra over , then an element of is an algebraic element over , or just algebraic over , if there exists some non-zero polynomial g(x) \in K /math> with coefficients in such that . Elements of that are no ...

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 whose coefficients are functions of the independent variable that can be written using only the basic operations of addition, subtraction ...

, 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. Transcendenc ...

, 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 * ''Transcendental'' (album), a 2006 progressive metal album by To-Mera * "Transcendence (Segue)", a 2000 progressive metal instrumental piece by Symphony X from the album ''

V - The New Mythology Suite V, or v, is the twenty-second Letter (alphabet), letter of the Latin alphabet, used in the English alphabet, modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is English alph ...

'' * "Transcendence", a 2008 thrash/melodic death metal track by Sylosis from the album '' Conclusion of an Age''

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, system ...

, climbing or going beyond some philosophical concept or limit *

Transcendentalism Transcendentalism is a philosophical, spiritual, and literary movement that developed in the late 1820s and 1830s in the New England region of the United States. "Transcendentalism is an American literary, political, and philosophical movement of ...

, 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 a ...

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

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 des ...

, 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 po ...

, a concept put forward by Roy Bhaskar *

Transcendental arguments A transcendental argument is a kind of deductive argument that appeals to the necessary conditions that make experience and knowledge possible.Transcendental-arguments and Scepticism; Answering the Question of Justification (Clarendon Press: Oxfo ...

, a style of philosophical argumentation *

Transcendental phenomenology Phenomenology is a philosophical study and movement largely associated with the early 20th century that seeks to objectively investigate the nature of subjective, conscious experience. It attempts to describe the universal features of consciou ...

, a field of phenomenological inquiry developed by Edmund Husserl *

Transcendentals The transcendentals (, from transcendere "to exceed") are "properties of being", nowadays commonly considered to be truth, unity (oneness), beauty, and goodness. The conceptual idea arose from medieval scholasticism, namely Aquinas but originated ...

, religious and philosophical properties of being

Religion

Transcendence (religion) In religion, transcendence is the aspect of existence that is completely independent of the material universe, beyond all known physical laws. This is related to the nature and power of deities as well as other spiritual or supernatural bein ...

, the aspect of a god wholly independent of the material universe * Transcendental Meditation, 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 New York, often called New York City (NYC), is the most populous city in the United St ...