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Examples include: "The sequence 1, 2, 3, ... continues ad infinitum." "The perimeter of a fractal may be iteratively drawn ad infinitum." The 17th-century writer Jonathan Swift incorporated the idea of self-similarity in the following lines from his satirical poem On Poetry: a Rhapsody (1733):
i.e., "to the point of disgust". Sometimes used as a humorous alternative to ad infinitum. An argumentum ad nauseam is a logical fallacy in which erroneous proof is proffered by prolonged repetition of the argument, i. e., the argument is repeated so many times that persons are "sick of it". ad oculos: to the eyes
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") 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.
The Vermin only teaze and pinch Their Foes superior by an Inch. So, Nat'ralists observe, a Flea Hath smaller Fleas that on him prey, And these have smaller yet to bite 'em, And so proceed ad infinitum:
Ad nauseam is a Latin term for an argument or other discussion that has continued to the figurative point of nausea. [ 1 ] [ 2 ] For example, "this has been discussed ad nauseam " indicates that the topic has been discussed extensively and those involved have grown sick of it.
For example, some unicellular organisms have genomes much larger than that of humans. Cole's paradox: Even a tiny fecundity advantage of one additional offspring would favor the evolution of semelparity. Gray's paradox: Despite their relatively small muscle mass, dolphins can swim at high speeds and obtain large accelerations.
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Zeno's arguments may then be early examples of a method of proof called reductio ad absurdum, also known as proof by contradiction. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one."