The Analytic Versus Representational Theory of Measurement: A Philosophy of Science Perspective: (Invited Article)
Published Online: Dec 29, 2008
Page range: 129 - 146
DOI: https://doi.org/10.2478/v10048-008-0031-x
Keywords
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In this paper we motivate and develop the analytic theory of measurement, in which autonomously specified algebras of quantities (together with the resources of mathematical analysis) are used as a unified mathematical framework for modeling (a) the time-dependent behavior of natural systems, (b) interactions between natural systems and measuring instruments, (c) error and uncertainty in measurement, and (d) the formal propositional language for describing and reasoning about measurement results. We also discuss how a celebrated theorem in analysis, known as