In contemporary usage, a logically valid proof from axioms or other accepted premises. It is extremely important that in the period between Descartes and J. S. Mill a demonstration is not this, but a chain of ‘intuitive’ comparisons of ideas, whereby a principle or maxim can be established by reason alone. It is in this sense that Locke believed that theological and moral principles are capable of demonstration, and Hume denies that they are, and also denies that scientific enquiry proceeds by demonstrating its results. See also matter of fact, proof, relations of ideas.

Philosophy dictionary. . 2011.

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  • démonstration — [ demɔ̃strasjɔ̃ ] n. f. • déb. XIIIe « action de montrer »; a remplacé demostraison; lat. demonstratio, de demonstrare → démontrer 1 ♦ (v. 1155) Opération mentale qui établit une vérité (preuve, induction). Démonstration par l absurde. ⇒ preuve.… …   Encyclopédie Universelle

  • Demonstration — Démonstration En mathématiques, une démonstration permet d établir une proposition à partir de propositions initiales, ou précédemment démontrées à partir de propositions initiales, en s appuyant sur un ensemble de règles de déduction. La… …   Wikipédia en Français

  • Demonstration — may refer to: Demonstration (people), a political rally or protest Demonstration (proof), a conclusive mathematical proof Demonstration (teaching), a method of teaching by example rather than simple explanation Demonstration (military), an attack …   Wikipedia

  • démonstration — DÉMONSTRATION. s. f. Preuve évidente et convaincante. Démonstration claire, nette, invincible, incontestable. Faire une démonstration. Faire la démonstration d une proposition. Il a trouvé la démonstration de ce problème. Démonstration… …   Dictionnaire de l'Académie Française 1798

  • Demonstration — Dem on*stra tion, n. [L. demonstratio: cf. F. d[ e]monstration.] 1. The act of demonstrating; an exhibition; proof; especially, proof beyond the possibility of doubt; indubitable evidence, to the senses or reason. [1913 Webster] Those intervening …   The Collaborative International Dictionary of English

  • demonstration — Demonstration. s. f. v. (l S se prononce.) Preuve evidente & convainquante. Demonstration claire, nette, invincible, incontestable. faire une demonstration. faire la demonstration d une proposition. il y a demonstration de cela. il a trouvé la… …   Dictionnaire de l'Académie française

  • demonstration — dem‧on‧stra‧tion [ˌdemənˈstreɪʆn] noun [countable, uncountable] an act of explaining and showing how a product works or how something is done: • He gave a demonstration of how the program works. • a sales demonstration (= one done in order to… …   Financial and business terms

  • demonstration — late 14c., proof that something is true, from O.Fr. demonstration or directly from L. demonstrationem (nom. demonstratio), noun of action from pp. stem of demonstrare to point out, indicate, demonstrate, figuratively, to prove, establish, from de …   Etymology dictionary

  • demonstration — [n1] display of proof affirmation, confirmation, description, evidence, exhibition, explanation, exposition, expression, illustration, induction, manifestation, presentation, proof, show, spectacle, substantiation, test, testimony, trial,… …   New thesaurus

  • demonstration — [dem′ən strā′shən] n. [ME demonstracion < L demonstratio < demonstrare: see DEMONSTRATE] 1. the act, process, or means of making evident or proving 2. an explanation by example, experiment, etc. 3. a practical showing of how something works …   English World dictionary

  • Demonstration — (v. lat.), 1) Beweis; bes. im engeren Sinne, so v.w. Apodiktischer Beweis; 2) Vorzeigung zergliederter u. präparirter Körpertheile, mit Erklärung u. Erläuterung derselben zum anatomischen Unterricht; 3) die einem Rechtsgeschäft hinzugefügte… …   Pierer's Universal-Lexikon

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