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Reductio ad absurdum - Wikipedia
WEBIn logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical arguments, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
En.wikipedia.orgReductio ad absurdum | Argument, Fallacy, Reasoning
WEBJul 5, 2024 · reductio ad absurdum, (Latin: “reduction to absurdity”), in logic, a form of refutation showing contradictory or absurd consequences following upon premises as a matter of logical necessity. A form of the reductio ad absurdum argument, known as indirect proof or reductio ad impossibile, is one that.
Britannica.comReductio ad Absurdum | Internet Encyclopedia of Philosophy
WEBIn its most general construal, reductio ad absurdum – reductio for short – is a process of refutation on grounds that absurd – and patently untenable consequences would ensue from accepting the item at issue. This takes three principal forms according as that untenable consequence is:
Iep.utm.eduArgumentation and Fallacies: Reductio Ad Absurdum - ThoughtCo
WEBFeb 12, 2020 · In argumentation, reductio ad absurdum is a method of refuting a claim by extending the logic of the opponent's argument to a point of absurdity.
Thoughtco.comReductio ad absurdum Definition & Meaning - Merriam-Webster
WEBThe meaning of reductio ad absurdum is disproof of a proposition by showing an absurdity to which it leads when carried to its logical conclusion.
Merriam-webster.comReductio ad Absurdum - Definition & Examples - Literary Devices
WEBIn simple words, it means to reduce an argument to absurdity, by drawing conclusions with logical limits, or by showing ridiculous consequences. reductio ad absurdum in satires breaks down an idea to the point of absurdity.
Literarydevices.net8. Reductio ad Absurdum – Elementary Formal Logic
WEBOne of the oldest solutions is to introduce a new proof method, traditionally called “reductio ad absurdum”, which means a reduction to absurdity. This method is also often called an “ indirect proof ” or “indirect derivation”.
Intrologicimport.pressbooks.tru.caReductio ad Absurdum - ProofWiki
WEBApr 6, 2024 · reductio ad absurdum is a valid argument in certain types of logic dealing with negation ¬ ¬ and contradiction ⊥ ⊥ . This includes classical propositional logic and predicate logic, and in particular natural deduction, but for example not intuitionistic propositional logic .
Proofwiki.orgReductio ad Absurdum -- from Wolfram MathWorld
WEBJul 13, 2024 · A method of proof which proceeds by stating a proposition and then showing that it results in a contradiction, thus demonstrating the proposition to be false. In the words of G. H. Hardy, "reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons.
Mathworld.wolfram.comReductio ad absurdum - Encyclopedia of Mathematics
WEBSep 17, 2017 · reductio ad absurdum. A logical derivation rule that allows one to conclude that if a list $\Gamma$ of statements and a statement $A$ imply both a statement $B$ and the statement $\neg B$, then $\Gamma$ implies $\neg A$. The rule of reductio ad absurdum can, e.g., be written in the form $$ \frac {\Gamma, A \rightarrow B\,;\ …
Encyclopediaofmath.org