## 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 Causation/Mathematics/BigelowVsArmstrong/Bigelow/Pargetter: 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 InDispositions, Tim Crane, London New York 1996 AR III D. Armstrong What is a Law of Nature? Cambridge 1983 |

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