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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.
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."
Absurdism is the philosophical thesis that life, or the world in general, is absurd. There is wide agreement that the term "absurd" implies a lack of meaning or purpose but there is also significant dispute concerning its exact definition and various versions have been suggested.
Reductio ad absurdum, reducing to an absurdity, is a method of proof in polemics, logic and mathematics, whereby assuming that a proposition is true leads to absurdity; a proposition is assumed to be true and this is used to deduce a proposition known to be false, so the original proposition must have been false.
Credo quia absurdum is a Latin phrase that means "I believe because it is absurd", originally misattributed to Tertullian in his De Carne Christi.It is believed to be a paraphrasing of Tertullian's "prorsus credibile est, quia ineptum est" which means "it is completely credible because it is unsuitable", or "certum est, quia impossibile" which means "it is certain because it is impossible".
Pope Paul IV. Cum nimis absurdum was a papal bull issued by Pope Paul IV dated 14 July 1555. It takes its name from its first words: [1]. Since it is absurd and utterly inconvenient that the Jews, who through their own fault were condemned by God to eternal slavery, can under the pretext that pious Christians must accept them and sustain their habitation, are so ungrateful to Christians, as ...
To disprove opposing views about reality, he wrote a series of paradoxes that used reductio ad absurdum arguments, or arguments that disprove an idea by showing how it leads to illogical conclusions. [12] Furthermore, Zeno's philosophy makes use of infinitesimals, or quantities that are infinitely small while still being greater than zero. [14]
The heart of the dialogue opens with a challenge by Socrates to the elder and revered Parmenides and Zeno. Employing his customary method of attack, the reductio ad absurdum, Zeno has argued that if as the pluralists say things are many, then they will be both like and unlike; but this is an impossible situation, for unlike things cannot be like, nor like things unlike.