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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 argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
The term "corner case" comes about by physical analogy with "edge case" as an extension of the "flight envelope" metaphor to a set of testing conditions whose boundaries are determined by the 2 n combinations of extreme (minimum and maximum) values for the number n of variables being tested, i.e., the total parameter space for those variables.
Also acid ionization constant or acidity constant. A quantitative measure of the strength of an acid in solution expressed as an equilibrium constant for a chemical dissociation reaction in the context of acid-base reactions. It is often given as its base-10 cologarithm, p K a. acid–base extraction A chemical reaction in which chemical species are separated from other acids and bases. acid ...
An edge case is a problem or situation that occurs only at an extreme (maximum or minimum) operating parameter. For example, a stereo speaker might noticeably distort audio when played at maximum volume, even in the absence of any other extreme setting or condition. An edge case can be expected or unexpected.
A logical extreme is a useful, though sometimes fallacious, rhetorical device for the disputation of propositions. Quite simply, a logical extreme is the relevant statement of an extreme or preposterous position that is consistent with the proposition in question. Thus, as the logically extreme position is both relevant and untenable, it has ...
Hard cases make bad law is an adage or legal maxim meaning that an extreme case is a poor basis for a general law that would cover a wider range of less extreme cases. In other words, a general law is better drafted for the average circumstance as this will be more common.
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A limiting case is a type of special case which is arrived at by taking some aspect of the concept to the extreme of what is permitted in the general case. If B is true, one can immediately deduce that A is true as well, and if B is false, A can also be immediately deduced to be false.