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Ideas for 'works', 'Letter to the Editor about Bayle' and 'The Handbook [Encheiridion]'

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3 ideas

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

8660	There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend]
	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.
	From: report of Aristotle (works [c.330 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 1.3
	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.

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter

12058	Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins]
	Full Idea: Aristotle's conception of matter permits any kind of matter to become any other kind of matter.
	From: report of Aristotle (works [c.330 BCE]) by David Wiggins - Substance 4.11.2
	A reaction: This is obviously crucial background information when we read Aristotle on matter. Our 92+ elements, and fixed fundamental particles, gives a quite different picture. Aristotle would discuss form and matter quite differently now.

26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws

11945	In addition to laws, God must also create appropriate natures for things [Leibniz]
	Full Idea: It isn't sufficient to say that God has made a general law, for in addition to the decree there has also to be a natural way of carrying it out. It is necessary, that is, that what happens should be explicable in terms of the God-given nature of things.
	From: Gottfried Leibniz (Letter to the Editor about Bayle [1698], p.205)
	A reaction: Thus Leibniz is an ancestor of scientific essentialism, but he was too frightened to take the next step, which is to see that once God has endowed the natures, he doesn't need to wield his laws as well. The natures will do the whole job.