transcendental

== English == === Pronunciation === (US) IPA(key): /ˌtɹænsɛnˈdɛntəl/ (UK) IPA(key): /ˌtɹænsɛnˈdɛntəl/, /ˌtɹænzɛnˈdɛntəl/ === Noun === transcendental (plural transcendentals) (obsolete) A transcendentalist. (philosophy, metaphysics, Platonism, Christian theology, usually in the plural) Any one of the three transcendental properties of being: truth, beauty or goodness, which respectively are the ideals of science, art and religion and the principal subjects of the study of logic, aesthetics and ethics. ==== Translations ==== === Adjective === transcendental (comparative more transcendental, superlative most transcendental) (philosophy) Concerned with the a priori or intuitive basis of knowledge, independent of experience. 1999, Robert Stern, 4: On Kant's Response to Hume: The Second Analogy as Transcendental Argument, Robert Stern (editor), Transcendental Arguments: Problems and Prospects, 2003, Oxford University Press (Clarendon Press), Paperback, page 47, Whilst it was once held that transcendental arguments could provide a direct and straightforward refutation of scepticism, this view now seems over-optimistic. 2007, Steven Crowell, Jeff Malpas, Chapter 1: Introduction Steven Crowell, Jeff Malpas, (editors), Transcendental Heidegger, Stanford University Press, page 1, Not only does Heidegger's early work stand within the framework of transcendental phenomenology as established by Husserl—even though it also contests and revises that framework—but that thinking also stands in a close relationship to the critical philosophy of Immanuel Kant, and specifically to the transcendental project, and modes of argument, of Kant's Critique of Pure Reason. Superior; surpassing all others; extraordinary; transcendent. Mystical or supernatural. (algebra, number theory, field theory, of a number or an element of an extension field) Not algebraic (i.e., not the root of any polynomial that has positive degree and rational coefficients). (algebra, field theory, of an extension field) That contains elements that are not algebraic. 2006, Steven Roman, Field Theory, Springer, 2nd Edition, Graduate Texts in Mathematics 158, page 108, Suppose that F < E {\displaystyle F<E} is purely transcendental. Show that any simple extension of F {\displaystyle F} contained in E {\displaystyle E} (but not equal to F {\displaystyle F} ) is transcendental over F {\displaystyle F} . ==== Antonyms ==== (antonym(s) of “not the root of a polynomial with rational coefficients”): algebraic (antonym(s) of “containing elements that are not the root of a polynomial”): algebraic ==== Hypernyms ==== (not the root of a polynomial with rational coefficients): irrational ==== Derived terms ==== ==== Related terms ==== ==== Translations ==== === Further reading === Transcendence on Wikipedia.Wikipedia (philosophy): Transcendentals on Wikipedia.Wikipedia Epistemology on Wikipedia.Wikipedia Metaphysics on Wikipedia.Wikipedia Critique of Pure Reason on Wikipedia.Wikipedia (algebra, number theory, field theory): Transcendental number on Wikipedia.Wikipedia Liouville number on Wikipedia.Wikipedia Field (mathematics) on Wikipedia.Wikipedia Field extension on Wikipedia.Wikipedia Transcendental extension on Encyclopedia of Mathematics Transcendental Extension on Wolfram MathWorld == German == === Adjective === transcendental (strong nominative masculine singular transcendentaler, comparative transcendentaler, superlative am transcendentalsten) obsolete spelling of transzendental ==== Declension ==== == Romanian == === Etymology === Borrowed from French transcendantal, from Latin transcendentalis. === Pronunciation === IPA(key): /ˌtrans.t͡ʃe.denˈtal/ === Adjective === transcendental m or n (feminine singular transcendentală, masculine plural transcendentali, feminine/neuter plural transcendentale) transcendental ==== Declension ==== == Spanish == === Pronunciation === IPA(key): /tɾansθendenˈtal/ [t̪ɾãns.θẽn̪.d̪ẽn̪ˈt̪al] (Spain) IPA(key): /tɾansendenˈtal/ [t̪ɾãn.sẽn̪.d̪ẽn̪ˈt̪al] (Latin America, Philippines) Rhymes: -al Syllabification: trans‧cen‧den‧tal === Adjective === transcendental m or f (masculine and feminine plural transcendentales) transcendental === Further reading === “transcendental”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8.1, Royal Spanish Academy [Spanish: Real Academia Española], 15 December 2025