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It may be the case that several sufficient conditions, when taken together, constitute a single necessary condition (i.e., individually sufficient and jointly necessary), as illustrated in example 5. Example 1 "John is a king" implies that John is male. So knowing that John is a king is sufficient to knowing that he is a male. Example 2
In writing, phrases commonly used as alternatives to P "if and only if" Q include: Q is necessary and sufficient for P, for P it is necessary and sufficient that Q, P is equivalent (or materially equivalent) to Q (compare with material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case Q, and P just in case Q. [3]
A synonym is a word, morpheme, or phrase that means precisely or nearly the same as another word, morpheme, or phrase in a given language. [2] For example, in the English language , the words begin , start , commence , and initiate are all synonyms of one another: they are synonymous .
A sine qua non (/ ˌ s aɪ n i k w eɪ ˈ n ɒ n, ˌ s ɪ n i k w ɑː ˈ n oʊ n /, [1] Latin: [ˈsɪnɛ kʷaː ˈnoːn]) or conditio sine qua non (plural: conditiones sine quibus non) is an indispensable and essential action, condition, or ingredient.
For example, an intensional definition of the word "bachelor" is "unmarried man". This definition is valid because being an unmarried man is both a necessary condition and a sufficient condition for being a bachelor: it is necessary because one cannot be a bachelor without being an unmarried man, and it is sufficient because any unmarried man ...
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Sufficiency may refer to: Logical sufficiency; see necessary and sufficient conditions; sufficiency (statistics), sufficiency in statistical inference;
Self-sustainability is a type of sustainable living in which nothing is consumed other than what is produced by the self-sufficient individuals. Examples of attempts at self-sufficiency in North America include simple living, food storage, homesteading, off-the-grid, survivalism, DIY ethic, and the back-to-the-land movement.