reductio

Definitions

  • WordNet 3.6
    • n reductio (reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proof of a proposition by showing that its negation leads to a contradiction
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Usage

In literature:

A literal application of her theory toman today is enough to bring it to a reductio ad absurdum.
"In Defense of Women" by H. L. Mencken
Is not this a "reductio ad absurdum" of the hypothesis that knowledge is sensible perception?
"Theaetetus" by Plato
If this be not a reductio ad absurdum, we do not know what is.
"The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 2 (of 4)" by Thomas Babington Macaulay
It is the =reductio ad absurdum= of the typical "Pollyanna" school of philosophy.
"Writings in the United Amateur, 1915-1922" by Howard Phillips Lovecraft
Reductio ad absurdum introduced by Zeno, i.
"History of the Intellectual Development of Europe, Volume II (of 2)" by John William Draper
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In news:

Scalia reductios himself ad absurdum on murder and homosexuality.
"I'm surprised you weren't persuaded," he told the gay student of his reductio ad absurdum comparison.
Scalia reductios himself ad absurdum on murder and homosexuality .
The reductio ad absurdum, as dialecticians of all stripes will tell you, is a simple and elegant way to disprove a false proposition.
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In science:

Al l difficult conjectures should be proved by reductio ad absurdum arguments.
On Semimeasures Predicting Martin-Loef Random Sequences
It was actually reached using a reductio ad absurdum argument that is reviewed below.
Why Einstein, Podolsky and Rosen did not prove that quantum mechanics is `incomplete'
Actually, however, they reached the same conclusion, based on (4), by a more convoluted reductio ad absurdum argument.
Why Einstein, Podolsky and Rosen did not prove that quantum mechanics is `incomplete'
EPR then deduce from this contradiction, by reductio ad absurdum, that the initial propostion QM T C = T RU E must be false, so that quantum mechanics is incomplete.
Why Einstein, Podolsky and Rosen did not prove that quantum mechanics is `incomplete'
EPR’s reasoning was presented as a reductio ad absurdum argument.
Why Einstein, Podolsky and Rosen did not prove that quantum mechanics is `incomplete'
The proof method will use a reductio ad absurdum; i.e., we assume the existence of a halting algorithm h(p) deciding the halting problem of p, as well as some trivial manipulations; thereby deriving a complete contradiction.
Indeterminism and Randomness Through Physics
Suppose for reductio ad absurdum that |s| > n.
Markov semigroups, monoids, and groups
Suppose for reductio ad absurdum that S is Markov.
Markov semigroups, monoids, and groups
That this is extremely plausible follows from the following argument, based on reductio ad absurdum : we assume, for simplicity that the spatial slice of the boundary of an asymptotically flat spacetime has the topology of a 2-sphere on which is induced a spherically symmetric 2-metric.
Black hole entropy: classical and quantum aspects
By reductio ad absurdum we consequently arrive at the following result.
Optimal Topological Test for Degeneracies of Real Hamiltonians
The method of proof is by reductio ad absurdum, i.e. we make the assumption that the variational equations (26) have solutions which coincide with the general solutions of the d’Alembertian equations (24), and show that this assumption leads to contradictions.
On non-holonomic systems and variational principles
Preliminary (A): Shows that A = {(c, x) ∈ Rd ∗ \{a1 } × Rd ; ga1 (a⊤1 x) > through a reductio ad absurdum, i.e. if we assume A ,
Goodness-of-fit Tests For Elliptical And Independent Copulas Through Projection Pursuit
Moreover, using a reductio ad absurdum, we get the orthogonality.
Goodness-of-fit Tests For Elliptical And Independent Copulas Through Projection Pursuit
In contrast, the absorption of a ’Floquet photon’ is the summary effect of the entire period of H (t): so, it should not occur until the magnetic field indeed accomplish the 2-pulse pattern. (The best argument is the reductio ad absurdum.
Are there Floquet Quanta?
Proof: Suppose (reductio ad absurdum) that deg(vk ) ≥ ∆0 , where k = n − α0 .
Degenerate and star colorings of graphs on surfaces
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