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Quantities, physics: Quantities in physics are measurable properties of objects, processes or states. See also Scales, Proportions, Change, Motion, Processes, Flux, Space, Time, Spacetime, Metrisability, Measurements.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

John Bigelow on Quantities (Physics) - Dictionary of Arguments

I 74
Size/Direction/Bigelow/Pargetter: e.g. two-digit relation between velocities
E.g. Two points on the homogeneous rotating disc on the same radius:
I 75
Then their instantaneous velocities have the same direction.
At the same time, they differ in size due to the different distances from the centre.
Common/Solution/Bigelow/Pargetter: the common is a property of the 2nd level (sic): the property to have a velocity with that and that direction.
Correspondingly the opposite for points of a circle around the center: Commonality: the property of the 2nd level to have a velocity with that and that size.
Vectors/Bigelow/Pargetter: have properties of the 2nd level (sic) i. e. properties of properties.
>Vectors/Bigelow.
Equality/Vector/Bigelow/Pargetter: if two vectors share one of the properties of the 2nd level, say, for example, they have the same direction or the same size. (Same direction, same size).
>Universals, >Universals/Armstrong.
Identity/Vector/Bigelow/Pargetter: two vectors are identical if they share all properties of the 2nd level (here: size and direction).
Flux/Vector: through this concept of identity, the Flux theory can understand vectors.
>Flux/Bigelow.
Universals/Bigelow/Pargetter: in the case of vectors, we assume that both properties of the 2nd level and properties of the 2nd degree are real universals. Namely, a posteriori universals in the sense of Armstrong. Because the common denominator of the points mentioned above on the disc is not merely a linguistic phenomenon. ((s) because of the causal forces?).
I 76
Difference/Bigelow/Pargetter: this allows us to specify the size of differences.
>Disticntions.
Grades/size/differences in size/difference/Frege/Whitehead/Wiener/Quine/Bigelow/Pargetter: (see above, similar to the quantities) (Lit. Frege 1893(1), Whitehead/Russell 1910(2) vol 3 p. 6 "Quantity", Quine 1941(3), Bigelow (1988a)(4).
Solution: Relations between relations.
>Relations, >Degrees,/graduals.

1. Frege, G. (1893). Grundgesetze der Arithmetik. Jena: Hermann Pohle.
2. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica, Vol I. Cambridge University Press.
3. Quine, W.V.O. (1941). Whitehead and teh rise of modern logic. In: The philosophy of Alfred North Whitehead (ed. P.A. Schilpp). pp.125-63. La Salle, Ill. Open Court.
4. Bigelow, J. (1988a). The reality of numbers: A physicalist's philosophy of mathematics. Oxford: Clarendon Press.


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Big I
J. Bigelow, R. Pargetter
Science and Necessity Cambridge 1990


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