It is frequently useful to divide a set into mutually exclusive and jointly exhaustive alternatives, i.e. alternatives such that nothing belongs to more than one, and everything belongs to at least one.

Philosophy dictionary. . 2011.

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  • exhaustive — See exclusive/exhaustive …   Philosophy dictionary

  • mutually exclusive/jointly exhaustive — See exclusive/exhaustive …   Philosophy dictionary

  • Mutually exclusive events — For the programming algorithms, see Mutual exclusion. In layman s terms, two events are mutually exclusive if they cannot occur at the same time. An example is tossing a coin once, which can result in either heads or tails, but not both. In the… …   Wikipedia

  • Collectively exhaustive events — In probability theory, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six sided die, the outcomes 1, 2, 3, 4, 5, and 6 are collectively exhaustive, because they… …   Wikipedia

  • Principle of indifference — The principle of indifference (also called principle of insufficient reason) is a rule for assigning epistemic probabilities.Suppose that there are n gt; 1 mutually exclusive and collectively exhaustive possibilities.The principle of indifference …   Wikipedia

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  • Absolute Frequency — A statistical term describing the total number of trials or observations within a given interval or frequency bin. The frequency bins can be of any size, but they must be mutually exclusive, exhaustive and the data must be grouped. The absolute… …   Investment dictionary

  • definitive — Synonyms and related words: absolute, accurate, actual, admitting no exception, all out, arrant, authoritative, boundary, categorical, caudal, clarifying, classical, clean cut, clear, clear cut, closing, complete, completing, concluding,… …   Moby Thesaurus

  • integral — Synonyms and related words: a certain, aggregate, algorismic, algorithmic, aliquot, all, all embracing, all inclusive, an, any, any one, atomic, basic, cardinal, complete, component, composite, comprehensive, constituent, decimal, differential,… …   Moby Thesaurus

  • one — Synonyms and related words: Adamite, I, a, a certain, ace, aggregate, alike, all, all one, all the same, all embracing, all inclusive, all knowing, all powerful, all seeing, all wise, almighty, amalgamated, an, any, any one, assimilated,… …   Moby Thesaurus

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