Extensive measurement and ratio functions

Synthese 75 (1):1 - 23 (1988)
Extensive measurement theory is developed in terms of theratio of two elements of an arbitrary (not necessarily Archimedean) extensive structure; thisextensive ratio space is a special case of a more general structure called aratio space. Ratio spaces possess a natural family of numerical scales (r-scales) which are definable in non-representational terms; ther-scales for an extensive ratio space thus constitute a family of numerical scales (extensive r-scales) for extensive structures which are defined in a non-representational manner. This is interpreted as involving arelational theory of quantity which contrasts in certain respects with thequalitative theory of quantity implicit in standard representational extensive measurement theory. The representational properties of extensiver-scales are investigated, and found to coincide withweak extensive measurement in the sense of Holman. This provides support for the thesis (developed in a separate paper) that weak extensive measurement is a more natural model of actual physical extensive scales than is the standard model using strong extensive measurement. Finally, the present apparatus is applied to slightly simplify the existing necessary and sufficient conditions for strong extensive measurement.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00873272
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 24,411
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Brent Mundy (1987). The Metaphysics of Quantity. Philosophical Studies 51 (1):29 - 54.

View all 7 references / Add more references

Citations of this work BETA
Maya Eddon (2013). Quantitative Properties. Philosophy Compass 8 (7):633-645.
Chris Mortensen (1998). On the Possibility of Science Without Numbers. Australasian Journal of Philosophy 76 (2):182 – 197.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

131 ( #33,390 of 1,924,752 )

Recent downloads (6 months)

16 ( #40,227 of 1,924,752 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.