In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical...

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")....

needed] Appeal to the stone shares similarities in structure to reductio ad absurdum (Latin for “reduction to absurdity”) which states that an argument's...

As Ballentine recounts, Wigner regarded his 1961 argument as a reductio ad absurdum, indicating that the postulates of quantum mechanics need to be revised...

did. Physicists use the Boltzmann brain thought experiment as a reductio ad absurdum argument for evaluating competing scientific theories. In contrast...

reaching a false conclusion, called an "absurdity" (argument by reductio ad absurdum). Plato describes himself as not using absurd argumentation against...

\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...

Earth and broke apart a giant landmass into many different pieces. Reductio ad absurdum Straw man (a similar fallacy) Moore, Brooke Noel (2015). Critical...

In mathematics, a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number...

superiority, deformity, and incongruity. Reductio ad absurdum is a valid method of argument, while reductio ad ridiculum is invalid. Argument by invective...

by modus ponens, modus tollens, conditional proof, and classical reductio ad absurdum.[citation needed] Material implication is used in all the basic systems...

noncontradiction Proof by exhaustion Proof by infinite descent Modus tollens Reductio ad absurdum Bishop, Errett 1967. Foundations of Constructive Analysis, New York:...

thermodynamic paradox, Clausius' paradox, and Kelvin's paradox, is a reductio ad absurdum argument that uses thermodynamics to show the impossibility of an...

a philosophical 'fellow traveler'. "Reduction" arguments such as reductio ad absurdum argument (or proof by contradiction) have been traced to him, as...

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...

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...

typically including disjunctive syllogism, disjunction introduction, and reductio ad absurdum. The metamathematical value of the principle of explosion is that...

S T U V full References Potter, David S. (2014). The Roman Empire at Bay, AD 180–395. Routledge. p. 77. ISBN 9781134694778. An explanation of Livy's usage...

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...

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...

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...

showing how various essentialist ideas have absurd conclusions through reductio ad absurdum arguments (known as prasanga in Sanskrit). Chapter 15 of Nāgārjuna's...

based on the belief that the universe is irrational and meaningless Reductio ad absurdum, a type of logical argument This disambiguation page lists articles...

f(\xi )=B} . Therefore, f {\displaystyle f} is not surjective, via reductio ad absurdum. We know injective maps from A {\displaystyle A} to P ( A ) {\displaystyle...

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...

with the aim of disproving the existence of God, but rather as a reductio ad absurdum of the well-known argument from design (which suggests that living...

Saidak gave the following proof by construction, which does not use reductio ad absurdum or Euclid's lemma (that if a prime p divides ab then it must divide...

proposition can be proven using procedures such as modus tollens and reductio ad absurdum. In empirical contexts (such as the evaluating the existence or nonexistence...

the countryside that had changed Orlando's style of writing is a reductio ad absurdum of Stephen's theories.: 64  Stephen identified various writers, all...

exists. Showing that an opponent has proved too much is a form of reductio ad absurdum. Mizrahi, Moti. "On Proving Too Much". Acta Analytica. Coppée, Henry...