Higher values and non-Archimedean additivity
(2007) In Theoria: a Swedish Journal of Philosophy 73. p.3-27- Abstract
- Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of "higher values", any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well as positive values.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1406833
- author
- Carlson, Erik LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Archimedean property, additivity, higher values, extensive measurement, non-standard representations
- in
- Theoria: a Swedish Journal of Philosophy
- volume
- 73
- pages
- 3 - 27
- publisher
- Thales
- external identifiers
-
- wos:000255709600002
- scopus:77949398239
- ISSN
- 0040-5825
- DOI
- 10.1111/j.1755-2567.2007.tb01185.x
- language
- English
- LU publication?
- yes
- id
- b99e3ce2-b97a-439e-a841-bb7df457f94f (old id 1406833)
- date added to LUP
- 2016-04-01 17:14:11
- date last changed
- 2022-03-15 06:04:26
@article{b99e3ce2-b97a-439e-a841-bb7df457f94f,
abstract = {{Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of "higher values", any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well as positive values.}},
author = {{Carlson, Erik}},
issn = {{0040-5825}},
keywords = {{Archimedean property; additivity; higher values; extensive measurement; non-standard representations}},
language = {{eng}},
pages = {{3--27}},
publisher = {{Thales}},
series = {{Theoria: a Swedish Journal of Philosophy}},
title = {{Higher values and non-Archimedean additivity}},
url = {{http://dx.doi.org/10.1111/j.1755-2567.2007.tb01185.x}},
doi = {{10.1111/j.1755-2567.2007.tb01185.x}},
volume = {{73}},
year = {{2007}},
}