8660
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There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend]
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Full Idea:
Aristotle developed his own distinction between potential infinity (never running out) and actual infinity (there being a collection of an actual infinite number of things, such as places, times, objects). He decided that actual infinity was incoherent.
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From:
report of Aristotle (works [c.330 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 1.3
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A reaction:
Friend argues, plausibly, that this won't do, since potential infinity doesn't make much sense if there is not an actual infinity of things to supply the demand. It seems to just illustrate how boggling and uncongenial infinity was to Aristotle.
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14956
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Explanation by kinds and by clusters of properties just express the stability of reality [Ladyman/Ross]
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Full Idea:
Philosophers sometimes invoke natural kinds as if they explain the possibility of explanation. This is characteristically neo-scholastic. That anything can be explained, and that properties cluster together, express one fact: reality is relatively stable.
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From:
J Ladyman / D Ross (Every Thing Must Go [2007], 5.6)
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A reaction:
Odd idea. I would have thought that if there are indeed kinds and clusters, this would explain a great deal more than mere stability. Or, more accurately, they would invite a more substantial explanation than mere stability would seem to need.
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14902
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Science may have uninstantiated laws, inferred from approaching some unrealised limit [Ladyman/Ross]
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Full Idea:
It is possible that uninstantiated laws can be established in science, and consequently bear explanatory weight, ..if we need reasons for thinking that the closer conditions get to some limit, the more they approximate to some ideal.
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From:
J Ladyman / D Ross (Every Thing Must Go [2007], 1.2.3)
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A reaction:
[The cite Hüttemann 2004] I am dubious about laws, but I take this to be a point in favour of inference to the best explanation, and against accounts of laws as supervenient of how things actually are.
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