Reductio ad absurdum - Wikipedia Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884 In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum, (Latin for "argument to absurdity") apagogical argument, or proof by contradiction is the form of argument that attempts to establish a claim by showing that following the logic of a contrary proposition
Reductio ad Absurdum - Internet Encyclopedia of Philosophy Reductio ad absurdum is a mode of argumentation that seeks to establish a contention by deriving an absurdity from its denial, thus arguing that a thesis must be accepted because its rejection would be untenable It is a style of reasoning that has been employed throughout the history of mathematics and philosophy from classical antiquity onwards
REDUCTIO Definition Meaning - Merriam-Webster The meaning of REDUCTIO is an act or process of reducing—used as the first term in phrases relating to disproof of a proposition by arguing it to an obviously false conclusion How to use reductio in a sentence
Reductio ad absurdum | Argument, Fallacy, Reasoning - Britannica 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 proves a proposition by showing that its denial conjoined with other propositions previously
Reduction to Absurdity - Definition and Examples Definition Reductio ad Absurdum: A Logical Fallacy of Reducing an Argument to Absurdity Reductio ad absurdum is a type of logical fallacy where an argument is disproven or discredited by showing that its conclusion leads to an absurd, ridiculous, or impractical outcome This fallacy involves taking an opponent’s argument to its extreme and illogical conclusions, thereby exposing its flaws
Reductio ad Absurdum — Definition, Formula Examples Reductio ad absurdum is a proof technique where you assume the opposite of what you want to prove, then show that assumption leads to a logical contradiction Since the assumption produces something impossible, the original statement must be true
8. Reductio ad Absurdum – A Concise Introduction to Logic 8 Reductio ad Absurdum 8 1 A historical example In his book, The Two New Sciences, [10] Galileo Galilea (1564-1642) gives several arguments meant to demonstrate that there can be no such thing as actual infinities or actual infinitesimals One of his arguments can be reconstructed in the following way Galileo proposes that we take as a premise that there is an actual infinity of natural