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In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "the house is white" and "the house is not white" are mutually exclusive.
Contrary may refer to: Contrary (comics), a character from Malibu Comics' Ultraverse; Contrary (logic), the relationship between two propositions when they cannot both be true; Contrary Magazine, a literary journal founded at the University of Chicago; Contrary motion, in music theory; Contrary (social role), in certain Amerindian cultures
If we formally express Euclid's theorem as saying that for every natural number there is a prime bigger than it, then we employ proof by contradiction, as follows. Given any number n {\displaystyle n} , we seek to prove that there is a prime larger than n {\displaystyle n} .
This way, the property of "being tautologous" is described—without reference to a model or an interpretation. For example, given a formula such as ~S 1 V S 2 and an assignment of K 1 to S 1 and K 2 to S 2 one can evaluate the formula and place its outcome in one or the other of the classes.
To the contrary, its spending for sales and marketing has continued to rise -- it's up 14% so far in 2024. ... it's safe to say that it's indeed taking market share. ... On's net sales are up ...
John Locke (1632–1704), the likely originator of the term.. Argument from ignorance (Latin: argumentum ad ignorantiam), or appeal to ignorance, [a] is an informal fallacy where something is claimed to be true or false because of a lack of evidence to the contrary.
i.e., "from top to bottom", "all the way through", or "from head to toe". See also a pedibus usque ad caput. a contrario: from the opposite: i.e., "on the contrary" or "au contraire". Thus, an argumentum a contrario ("argument from the contrary") is an argument or proof by contrast or direct opposite. a Deucalione: from or since Deucalion
Here the e contrario argument is used fallaciously in two ways: it places the letter of the law above its intent, and mistakes a time, place, and manner law regulating letters and telegraphs, for a law only authorizing letters and telegraphs, which is it not. Novel legal cases often hinge on more cogent arguments of the form: