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Ideas for 'Metaphysics', 'Truthmakers and Converse Barcan Formula' and 'Tractatus Theologico-Politicus'

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2 ideas

14. Science / A. Basis of Science / 2. Demonstration
There cannot be a science of accidentals, but only of general truths [Aristotle]
     Full Idea: It is not even possible for there to be a science of the accidental, ...for any field of science is either 'always' or 'for the most part'.
     From: Aristotle (Metaphysics [c.324 BCE], 1065b30-)
     A reaction: His example of an accident (and thus outside of any science) is a cold spell in high summer. This leaves us trying to explain the unusually tame tiger. Copi comments (p.717), rightly I think, that modern science disagrees with Aristotle on this.
Demonstrations about particulars must be about everything of that type [Aristotle]
     Full Idea: There cannot be demonstrations that this particular triangle is equal to the sum of two right angles, except that every triangle is equal to the sum of two right angles, nor that this particular man is an animal, except that every man is an animal.
     From: Aristotle (Metaphysics [c.324 BCE], 1086b36)
     A reaction: Not quite the covering-law model, but well on the way. Why can't we demonstrate that this particular is different from the others? This tiger is docile; this butterfly stings. We just like generalisations because you know more with less effort.