@misc{Lexicon of Arguments,
title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024},
author = {Bigelow,John},
subject = {Quantities (Physics)},
note = {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.
I 76
Difference/Bigelow/Pargetter: this allows us to specify the size of differences.
>Distinctions.
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.},
note = { Big I J. Bigelow, R. Pargetter Science and Necessity Cambridge 1990
},
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url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=746609}
}