David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Linguistics and Philosophy 29 (5):537 - 586 (2006)
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Denis Bonnay & Dag Westerståhl (2012). Consequence Mining: Constans Versus Consequence Relations. Journal of Philosophical Logic 41 (4):671-709.
M. Abrusan & B. Spector (2011). A Semantics for Degree Questions Based on Intervals: Negative Islands and Their Obviation. Journal of Semantics 28 (1):107-147.
Chris Cummins, Uli Sauerland & Stephanie Solt (2012). Granularity and Scalar Implicature in Numerical Expressions. Linguistics and Philosophy 35 (2):135-169.
Richard Dietz (2013). Comparative Concepts. Synthese 190 (1):139-170.
Martin Hackl (2009). On the Grammar and Processing of Proportional Quantifiers: Most Versus More Than Half. [REVIEW] Natural Language Semantics 17 (1):63--98.
Similar books and articles
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Alan Clinton Bale (2008). A Universal Scale of Comparison. Linguistics and Philosophy 31 (1):1-55.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
R. Duncan Luce (1965). A "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 32 (3/4):301-309.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Brigitte Falkenburg (1997). Incommensurability and Measurement. Theoria 12 (3):467-491.
Luca Mari (2000). Beyond the Representational Viewpoint: A New Formalization of Measurement. Measurement 27 (2):71-84.
Hasok Chang (1997). On the Applicability of the Quantum Measurement Formalism. Erkenntnis 46 (2):143-163.
Added to index2009-01-28
Total downloads21 ( #86,416 of 1,101,878 )
Recent downloads (6 months)5 ( #68,243 of 1,101,878 )
How can I increase my downloads?