A relational theory of measurement: Traceability as a solution to the non-transitivity of measurement results
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Measurement 40 (2):233-242 (2007)
This paper discusses a relational modeling of measurement which is complementary to the standard representational point of view: by focusing on the experimental character of the measurand-related comparison between objects, this modeling emphasizes the role of the measuring systems as the devices which operatively perform such a comparison. The non-idealities of the operation are formalized in terms of non-transitivity of the substitutability relation between measured objects, due to the uncertainty on the measurand value remaining after the measurement. The metrological structure of traceability is shown to be an effective solution to cope with the problem of the general non-transitivity of measurement results. A preliminary theory is introduced as a possible formalization for the presented model.
|Keywords||Measurement uncertainty Transitivity Traceability|
|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
Léna Soler, Frédéric Wieber, Catherine Allamel-Raffin, Jean-Luc Gangloff, Catherine Dufour & Emiliano Trizio (2013). Calibration: A Conceptual Framework Applied to Scientific Practices Which Investigate Natural Phenomena by Means of Standardized Instruments. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (2):263-317.
Similar books and articles
Luca Mari (2000). Beyond the Representational Viewpoint: A New Formalization of Measurement. Measurement 27 (2):71-84.
Alessandro Giordani & Luca Mari (2012). Measurement, Models, and Uncertainty. IEEE Transactions on Instrumentation and Measurement 61 (8):2144 - 2152.
Alessandro Giordani & Luca Mari (2014). Modeling Measurement: Error and Uncertainty. In Marcel Boumans, Giora Hon & Arthur Petersen (eds.), Error and Uncertainty in Scientific Practice. Pickering & Chatto 79-96.
Luca Mari (2005). The Problem of Foundations of Measurement. Measurement 38 (4):259-266.
Luca Mari (2003). Epistemology of Measurement. Measurement 34 (1):17-30.
Aldo Frigerio, Alessandro Giordani & Luca Mari (2010). Outline of a General Model of Measurement. Synthese 175 (2):123-149.
Giovanni Rossi (2006). A Probabilistic Theory of Measurement. Measurement 39:34-50.
Ludwik Finkelstein (2009). Widely-Defined Measurement. An Analysis of Challenges. Measurement 42 (9):1270–1277.
Ludwik Finkelstein (1984). A Review of the Fundamental Concepts of Measurement. [REVIEW] Measurement 2 (1):25-34.
Fred S. Roberts (ed.) (1985). Measurement Theory. Cambridge University Press.
Ludwik Finkelstein (2003). Widely, Strongly and Weakly Defined Measurement. Measurement 34 (1):39-48.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Patrick Suppes (2006). Transitive Indistinguishability and Approximate Measurement with Standard Finite Ratio-Scale Representations. Journal of Mathematical Psychology 50:329-336.
Ludwik Finkelstein (1994). Measurement and Instrumentation Science. An Analytical Review. Measurement 14 (1):3-14.
Added to index2011-12-14
Total downloads12 ( #200,933 of 1,725,806 )
Recent downloads (6 months)1 ( #348,716 of 1,725,806 )
How can I increase my downloads?