Alternative combining operations in extensive measurement

Philosophy of Science 65 (1):136-150 (1998)
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This paper concerns the ways in which one can/cannot combine extensive quantities. Given a particular theory of extensive measurement, there can be no alternative ways of combining extensive quantities, where 'alternative' means that one combining operation can be used instead of another causing only a change in the number assigned to the quantity. As a consequence, rectangular concatenation cannot be an alternative combining operation for length as was suggested by Ellis and agreed by Krantz, Luce, Suppes, and Tversky. I argue as well that a theory which imposes such restrictions on the combining operation is more desirable than less stringent rival theories



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Dragana Bozin
University of Oslo

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Basic Concepts of Measurement.Brian Ellis - 1967 - British Journal for the Philosophy of Science 17 (4):323-326.
Quantities.John Bigelow, Robert Pargetter & D. M. Armstrong - 1988 - Philosophical Studies 54 (3):287 - 304.

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