reductio ad absurdum

reductio ad absurdum
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 ideas which serve to show the agreement of any two others are called ``proofs;'' and where agreement or disagreement is by this means plainly and clearly perceived, it is called demonstration. --Locke. [1913 Webster]

2. An expression, as of the feelings, by outward signs; a manifestation; a show. See also sense 7 for a more specific related meaning. [1913 Webster +PJC]

Did your letters pierce the queen to any demonstration of grief? --Shak. [1913 Webster]

Loyal demonstrations toward the prince. --Prescott. [1913 Webster]

3. (Anat.) The exhibition and explanation of a dissection or other anatomical preparation. [1913 Webster]

4. (Mil.) a decisive exhibition of force, or a movement indicating an attack. [1913 Webster]

5. (Logic) The act of proving by the syllogistic process, or the proof itself. [1913 Webster]

6. (Math.) A course of reasoning showing that a certain result is a necessary consequence of assumed premises; -- these premises being definitions, axioms, and previously established propositions. [1913 Webster]

7. a public gathering of people to express some sentiment or feelings by explicit means, such as picketing, parading, carrying signs or shouting, usually in favor of or opposed to some action of government or of a business. [PJC]

8. the act of showing how a certain device, machine or product operates, or how a procedure is performed; -- usually done for the purpose of inducing prospective customers to buy a product; as, a demonstration of the simple operation of a microwave oven. [PJC]

{Direct demonstration}, or {Positive demonstration}, (Logic & Math.), one in which the correct conclusion is the immediate sequence of reasoning from axiomatic or established premises; -- opposed to

{Indirect demonstration}, or {Negative demonstration} (called also {reductio ad absurdum}), in which the correct conclusion is an inference from the demonstration that any other hypothesis must be incorrect. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Reductio ad absurdum — (Latin for reduction to the absurd ), also known as an apagogical argument, reductio ad impossibile, or proof by contradiction, is a type of logical argument where one assumes a claim for the sake of argument and derives an absurd or ridiculous… …   Wikipedia

  • reductio ad absurdum — index counterargument Burton s Legal Thesaurus. William C. Burton. 2006 reductio ad absurdum …   Law dictionary

  • reductio ad absurdum — (izg. redùkcio ȁd apsùrdum) DEFINICIJA log. dovođenje do besmisla; metoda dokazivanja kada se nastoji dokazati istinitost neke tvrdnje pokazujući neistinitost ili apsurdnost njezine suprotnosti …   Hrvatski jezični portal

  • reductio ad absurdum — [ri duk′tē ō΄ ad ab sʉr′dəm, ri duk′shē ō΄] n. [L, reduction to absurdity] Logic the proof of a proposition by showing its opposite to be an obvious falsity or self contradiction, or the disproof of a proposition by showing its consequences to be …   English World dictionary

  • Reductio ad absurdum —         (лат.) сведение к нелепости. Приём опровержения. Философский энциклопедический словарь. М.: Советская энциклопедия. Гл. редакция: Л. Ф. Ильичёв, П. Н. Федосеев, С. М. Ковалёв, В. Г. Панов. 1983 …   Философская энциклопедия

  • reductio ad absurdum — лат. (рэдукцио ад абсурдум) доведение до нелепости (как способ доказательства). Толковый словарь иностранных слов Л. П. Крысина. М: Русский язык, 1998 …   Словарь иностранных слов русского языка

  • reductio ad absurdum — 1741, Latin, lit. reduction to the absurd …   Etymology dictionary

  • reductio ad absurdum — is a method of proving the falsity of a premise by showing that the logical consequence is absurd. An example is that if eating less makes one healthier, the logical conclusion is to eat nothing …   Modern English usage

  • Reductio ad absurdum — Die Reductio ad absurdum (von lat. für Zurückführung auf das widrig Klingende, Ungereimte, Unpassende, Sinnlose) ist eine Schlussfigur und Beweistechnik in der Logik. Bei der Reductio ad absurdum wird eine Aussage widerlegt, indem gezeigt wird,… …   Deutsch Wikipedia

  • Reductio ad absurdum — ARGVMENTA Argumento ad antiquitatem Argumento ad baculum Argumento ad consequentiam Argumento ad crumenam Argumento ad hominem Argumento ad ignorantiam Argumento ad logicam Argumento ad nauseam Argumento ad novitatem Argumento ad populum… …   Wikipedia Español

  • reductio ad absurdum — /ri duk tee oh ad ab serr deuhm, zerr , shee oh /, Logic. a reduction to an absurdity; the refutation of a proposition by demonstrating the inevitably absurd conclusion to which it would logically lead. [1735 45; < L reductio ad absurdum] * * * ▪ …   Universalium

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