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3 ideas
3143 | Physics requires the existence of properties, and also the abstract objects of arithmetic [Rey] |
Full Idea: Physics is committed to arithmetic, which seems committed to abstract objects such as numbers, and its causal explanations seem to appeal to properties, such as mass and charge. | |
From: Georges Rey (Contemporary Philosophy of Mind [1997], 2.3) |
8863 | We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo] |
Full Idea: It is only by making as if to countenance numbers that one can give expression in English to a fact having nothing to do with numbers, a fact about stars and planets and how they are numerically proportioned. | |
From: Stephen Yablo (Apriority and Existence [2000], §13) | |
A reaction: To avoid the phrase 'numerically proportioned', he might have alluded to the 'pattern' of the stars and planets. I'm not sure which -ism this is, but it seems to me a good approach. The application is likely to precede the theory. |
8862 | Platonic objects are really created as existential metaphors [Yablo] |
Full Idea: The means by which platonic objects are simulated is existential metaphor. Numbers are conjured up as metaphorical measures of cardinality. | |
From: Stephen Yablo (Apriority and Existence [2000], §12) | |
A reaction: 'Fictional' might be a better word than 'metaphorical', since the latter usually implies some sort of comparison. |