Graduate studies at Western
Linguistics and Philosophy 29 (5):537 - 586 (2006)
|Abstract||The notion of measurement plays a central role in human cognition. We measure people’s height, the weight of physical objects, the length of stretches of time, or the size of various collections of individuals. Measurements of height, weight, and the like are commonly thought of as mappings between objects and dense scales, while measurements of collections of individuals, as implemented for instance in counting, are assumed to involve discrete scales. It is also commonly assumed that natural language makes use of both types of scales and subsequently distinguishes between two types of measurements. This paper argues against the latter assumption. It argues that natural language semantics treats all measurements uniformly as mappings from objects (individuals or collections of individuals) to dense scales, hence the Universal Density of Measurement (UDM). If the arguments are successful, there are a variety of consequences for semantics and pragmatics, and more generally for the place of the linguistic system within an overall architecture of cognition.|
|Keywords||Number Degrees Implicature Exhaustivity Comparatives Negative Islands|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Hasok Chang (1997). On the Applicability of the Quantum Measurement Formalism. Erkenntnis 46 (2):143-163.
Luca Mari (2000). Beyond the Representational Viewpoint: A New Formalization of Measurement. Measurement 27 (2):71-84.
Brigitte Falkenburg (1997). Incommensurability and Measurement. Theoria 12 (3):467-491.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
R. Duncan Luce (1965). A "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 32 (3/4):301-309.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
Alan Clinton Bale (2008). A Universal Scale of Comparison. Linguistics and Philosophy 31 (1):1-55.
Added to index2009-01-28
Total downloads15 ( #86,303 of 757,560 )
Recent downloads (6 months)1 ( #63,427 of 757,560 )
How can I increase my downloads?