Non-Archimedean extensive measurement with incomparability |
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Authors: | Erik Carlson |
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Institution: | Department of Philosophy, Uppsala University, Box 627, 751 26 Uppsala, Sweden |
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Abstract: | 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. |
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