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Non-Archimedean Extensive Measurement with Incomparability
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Philosophy, Ethics and Social Philosophy.
2011 (English)In: Mathematical Social Sciences, ISSN 0165-4896, E-ISSN 1879-3118, Vol. 62, no 1, 71-76 p.Article in journal (Refereed) Published
Abstract [en]

Standard theories of extensive measurement require that all objects to be measured are comparable, and that no object is infinitely or infinitesimally greater than another. The present paper develops a theory that leaves room for infinite and infinitesimal differences, as well as incomparable objects. Our result is analogous to the standard representation and uniqueness theorem of extensive measurement, and only simple and familiar mathematical concepts are assumed.

Place, publisher, year, edition, pages
2011. Vol. 62, no 1, 71-76 p.
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Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-157159DOI: 10.1016/j.mathsocsci.2011.04.001ISI: 000293490100010OAI: oai:DiVA.org:uu-157159DiVA: diva2:435307
Available from: 2011-08-18 Created: 2011-08-18 Last updated: 2017-12-08Bibliographically approved

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Carlson, Erik

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