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Encyclopedia > Cumulativity

Cumulativity

In linguistic semantics, an expression X is said to have cumulative reference just in case the following holds: If X is true of a and of b, as well, then it is also true of the combination of a and b. Example: If two separate entities can be said to be "water", then combining them into one entity will yield more "water". If two separate entities can be said to be "a house", their combination cannot be said to be "a house". Hence, "water" has cumulative reference, while the expression "a house" does not. In general, semantics (from the Greek semantikos, or significant meaning, derived from sema, sign) is the study of meaning, in some sense of that term. ...


Cumulativity has proven relevant to the linguistic treatment of the mass/count distinction and for the characterization of grammatical telicity. In English, a mass noun is a type of noun that has a singular, but no plural form. ...


  Results from FactBites:
 
Cumulant - Wikipedia, the free encyclopedia (1321 words)
The nth cumulant is homogeneous of degree n, i.e.
The first cumulant is simply the expected value; the second and third cumulants are respectively the second and third central moments (the second central moment is the variance); but the higher cumulants are neither moments nor central moments, but rather more complicated polynomial functions of the moments.
The joint cumulant of just one random variable is its expected value, and that of two random variables is their covariance.
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