• Thumbnail for Reductio ad absurdum
    In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical...
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  • Thumbnail for Reductio ad Hitlerum
    Invented by Leo Strauss in 1953, reductio ad Hitlerum takes its name from the term used in logic called reductio ad absurdum ("reduction to the absurd")....
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  • needed] Appeal to the stone shares similarities in structure to reductio ad absurdum (Latin for “reduction to absurdity”) which states that an argument's...
    21 KB (2,368 words) - 13:46, 13 October 2024
  • Thumbnail for Wigner's friend
    As Ballentine recounts, Wigner regarded his 1961 argument as a reductio ad absurdum, indicating that the postulates of quantum mechanics need to be revised...
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  • reaching a false conclusion, called an "absurdity" (argument by reductio ad absurdum). Plato describes himself as not using absurd argumentation against...
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  • \neg Q} Conjunction introduction (2,4) 6 ¬ P {\displaystyle \neg P} Reductio ad absurdum (3,5) 7 ¬ Q → ¬ P {\displaystyle \neg Q\rightarrow \neg P} Conditional...
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  • Thumbnail for Boltzmann brain
    did. Physicists use the Boltzmann brain thought experiment as a reductio ad absurdum argument for evaluating competing scientific theories. In contrast...
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  • superiority, deformity, and incongruity. Reductio ad absurdum is a valid method of argument, while reductio ad ridiculum is invalid. Argument by invective...
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  • noncontradiction Proof by exhaustion Proof by infinite descent Modus tollens Reductio ad absurdum Bishop, Errett 1967. Foundations of Constructive Analysis, New York:...
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  • In mathematics, a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number...
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  • Earth and broke apart a giant landmass into many different pieces. Reductio ad absurdum Straw man (a similar fallacy) Moore, Brooke Noel (2015). Critical...
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  • statement that runs contrary to one's expectation Self-refuting idea or reductio ad absurdum, idea or statement whose falsehood is a logical consequence of the...
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  • Thumbnail for Material conditional
    by modus ponens, modus tollens, conditional proof, and classical reductio ad absurdum.[citation needed] Material implication is used in all the basic systems...
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  • anything follows from a contradiction. The law is employed in a reductio ad absurdum proof. To express the fact that the law is tenseless and to avoid...
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  • Thumbnail for Hippocrates of Chios
    a philosophical 'fellow traveler'. "Reduction" arguments such as reductio ad absurdum argument (or proof by contradiction) have been traced to him, as...
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  • thermodynamic paradox, Clausius' paradox, and Kelvin's paradox, is a reductio ad absurdum argument that uses thermodynamics to show the impossibility of an...
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  • of transposition".) ✸2.18 (~p → p) → p (Called "The complement of reductio ad absurdum. It states that a proposition which follows from the hypothesis of...
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  • adult, then the homunculus may have sperm of its own. This led to a reductio ad absurdum with a chain of homunculi "all the way down", an idea also known...
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  • biological neurons or digital hardware. The "fading qualia" is a reductio ad absurdum thought experiment. It involves replacing, one by one, the neurons...
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  • typically including disjunctive syllogism, disjunction introduction, and reductio ad absurdum. The metamathematical value of the principle of explosion is that...
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  • based on the belief that the universe is irrational and meaningless Reductio ad absurdum, a type of logical argument This disambiguation page lists articles...
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  • is not known Assume for reductio ad absurdum that (K) is known. Then, by (KF), (K) is not known, and so, by reductio ad absurdum, we can conclude that (K)...
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  • that quantum suicide as a whole might be characterized as a sort of reductio ad absurdum against the current understanding of both the many-worlds interpretation...
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  • Retrieved 5 August 2024. Potter, David S. (2014). The Roman Empire at Bay, AD 180–395. Routledge. p. 77. ISBN 9781134694778. An explanation of Livy's usage...
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  • proposition from the inconsistency of its negation. It is thus related to reductio ad absurdum, but it can prove a proposition using just its own negation and the...
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  • Thumbnail for Zeno of Elea
    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...
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  • exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it...
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  • Bulletin. Retrieved November 29, 2010. Ordoñez, Elmer (May 2, 2009). "'Reductio ad absurdum'". The Manila Times. Archived from the original on August 11, 2011...
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  • Thumbnail for Madhyamaka
    showing how various essentialist ideas have absurd conclusions through reductio ad absurdum arguments (known as prasanga in Sanskrit). Chapter 15 of Nāgārjuna's...
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  • propositional and predicate logic. classical reductio ad absurdum A stronger form of reductio ad absurdum, where instead of only deriving ¬ P {\displaystyle...
    270 KB (30,189 words) - 22:16, 28 September 2024