Scattering parameters: Difference between revisions

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In [[linguistics]], a ''quantized expression'' is such that, whenever it is true of some entity,  it is ''not'' true of any proper subparts of that entity. Example: If something is an "apple", then no proper subpart of that thing is an "apple". If something is "water", then many of its subparts will also be "water". Hence, "apple" is quantized, while "water" is not. Quantization has proven relevant to the proper characterization of grammatical [[telicity]] (roughly, sentences that present events as '''bounded/unbounded''' in time) and the [[mass noun|mass/count]] distinction for [[nouns]]. The notion was first applied to linguistic [[semantics]] by the linguist [[Manfred Krifka]].
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Formally, a '''quantization''' predicate ''QUA'' can be defined as follows, where <math>U</math> is the [[universe of discourse]], and <math>F</math> is a variable over [[set (mathematics)|sets]], and <math>p</math> is a [[mereology|mereological]] part [[mathematical structure|structure]] on <math>U</math> with <math> <_p</math> the [[mereology|mereological]] part-of [[relation (mathematics)|relation]]. 
 
<center>
<math>(\forall F\subseteq U_p)(QUA(F) \iff (\forall x,y)(F(x)\wedge F(y) \Rightarrow \neg x<_p y))</math>
</center>
 
==See also==
*[[Fewer vs. less]]
 
==References==
 
Krifka, Manfred 1989. Nominal reference, temporal constitution and quantification in event semantics.
In Renate Bartsch, Johan van Benthem and Peter van Emde Boas (eds.), ''Semantics and
Contextual Expressions'' 75-115. Dordrecht: Foris.
 
[[Category:Logic]]
[[Category:Semantics]]
[[Category:Grammar]]

Latest revision as of 04:59, 7 November 2014

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