Combining Texts

Ideas for 'works', 'Politics' and 'Philosophy of Arithmetic'

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4 ideas

26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
If nature makes everything for a purpose, then plants and animals must have been made for man [Aristotle]
     Full Idea: If nature makes nothing without some end in view, nothing to no purpose, it must be that nature has made plants and animals for the sake of man.
     From: Aristotle (Politics [c.332 BCE], 1256b20)
     A reaction: That was a rather fast move! If a tiger eats a man, how do we explain that? Why are some plants poisonous? Pebbles on a beach seem to have no purpose.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
The best instruments have one purpose, not many [Aristotle]
     Full Idea: Every instrument will be made best if it serves not many purposes but one.
     From: Aristotle (Politics [c.332 BCE], 1252b03)
     A reaction: Sound like a good general truth, but not a universal truth. Swiss army knife. Ship in a bottle. Pins. Wrapping paper.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
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
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.