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Ideas for 'teaching', 'Against Structural Universals' and 'Properties'

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7 ideas

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Regularities theories are poor on causal connections, counterfactuals and probability [Armstrong]
The introduction of sparse properties avoids the regularity theory's problem with 'grue' [Armstrong]