Quantities as Metrical Coordinative Definitions and as Counts: On Some Definitional Structures in the New SI Brochure

Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 52 (3):407-429 (2021)
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Abstract

Since summer 2019 there is a new document that defines what in science should be regarded as being one second, one meter, and one kilogram, respectively. It is the ninth edition of the SI Brochure. Compared with older editions, a new definitional approach has been used. The seven base units are now defined by being directly related to a so-called defining constant. The paper discusses the second, the meter, and the kilogram. One odd salient, but nonetheless not discussed, feature of the formulations of the definitions is that, from a purely linguistic point of view, they are circular. That is, symbols for what is to be defined appear also in the defining expressions. However, underneath the circularities there are, appearances notwithstanding, substantially non-circular definitions. The aim of the paper is to uncover these never before presented definitional structures. It is made by means of the two notions absolutely discrete quantities and metrical coordinative definitions. When the true definitional structures become visible, two important substantial metrological facts can be seen. First, the new definition of the kilogram is very much in need of further discussion. Second, contrary to what the Brochure hints at, there is no need to try to exchange the atomic parameter used in the definition of the second.

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References found in this work

Making Time: A Study in the Epistemology of Measurement.Eran Tal - 2016 - British Journal for the Philosophy of Science 67 (1):297-335.
Making Time: A Study in the Epistemology of Measurement.E. Tal - 2014 - British Journal for the Philosophy of Science (1):axu037.
How Accurate Is the Standard Second?Eran Tal - 2011 - Philosophy of Science 78 (5):1082-1096.

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