Philosophy Lexicon of Arguments

Author Item Excerpt Meta data
Armstrong, D.M.
Books on Amazon
Mathematical Entities Big I J. Bigelow, R. Pargetter Science and Necessity Cambridge 1990
Big I 380
Numbers/Armstrong/Bigelow/Pargetter: Armstrong Thesis: Numbers are causally inactive. (Field ditto).
Mathematics/Realism/Bigelow/Pargetter: some mathematical entities are even observable!
I 381
Numbers: even they are involved in the causal processes. If objects did not instantiate the quantities they instantiate, other changes would have occurred. Thus at least proportions are causally involved. (s) FieldVsNumbers as causal agents, but not FieldVsProportions).
I 382
Counterfactual Dependence/Bigelow/Pargetter: thus we can again set up sequences of counterfactual conditionals, e.g. for the lever laws of Archimedes. This also provides why explanations.
I 383
Numbers/Causality/Bigelow/Pargetter: this shows that numbers play a fundamental role in causal explanations.
BigelowVsField: (a propos Field, Science without numbers): he falsely assumes that physics first starts with pure empiricism to then convert the results into completely abstract mathematics.
Field/Bigelow/Pargetter: wants to avoid this detour.
BigelowVsField: his project is superfluous if we realize that mathematics are only a different description of the physical proportions and relations and no detour.

AR II = Disp
D. M. Armstrong

Dispositions, Tim Crane, London New York 1996

D. Armstrong
What is a Law of Nature? Cambridge 1983

> Counter arguments against Armstrong

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Ed. Martin Schulz, access date 2017-04-24