27 ideas
1542 | Diogenes of Apollonia was the last natural scientist [Diogenes of Apollonia, by Simplicius] |
15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
15712 | 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan] |
15711 | The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan] |
15714 | 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan] |
15715 | 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan] |
489 | Each thing must be in some way unique [Diogenes of Apollonia] |
483 | Start a thesis with something undisputable [Diogenes of Apollonia] |
1544 | Perception must be an internal matter, because we can fail to perceive when we are preoccupied [Diogenes of Apollonia, by Theophrastus] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
12790 | Generalisations must be invariant to explain anything [Leuridan] |
12789 | Biological functions are explained by disposition, or by causal role [Leuridan] |
14388 | Mechanisms must produce macro-level regularities, but that needs micro-level regularities [Leuridan] |
12787 | Mechanisms can't explain on their own, as their models rest on pragmatic regularities [Leuridan] |
14384 | We can show that regularities and pragmatic laws are more basic than mechanisms [Leuridan] |
14386 | Mechanisms are ontologically dependent on regularities [Leuridan] |
14389 | There is nothing wrong with an infinite regress of mechanisms and regularities [Leuridan] |
24042 | The older Diogenes said the soul is air, made of the smallest particles [Diogenes of Apollonia] |
5995 | Diogenes of Apollonia offered the first teleological account of cosmology [Diogenes of Apollonia, by Robinson,TM] |
14387 | Rather than dispositions, functions may be the element that brought a thing into existence [Leuridan] |
488 | Air is divine, because it is in and around everything, and arranges everything [Diogenes of Apollonia] |
484 | Everything is ultimately a variation of one underlying thing [Diogenes of Apollonia] |
486 | Plants and animals can only come into existence if something fixes their species [Diogenes of Apollonia] |
485 | Things must retain their essential nature during change, or mixing would be impossible [Diogenes of Apollonia] |
14382 | Pragmatic laws allow prediction and explanation, to the extent that reality is stable [Leuridan] |
14385 | Strict regularities are rarely discovered in life sciences [Leuridan] |
14383 | A 'law of nature' is just a regularity, not some entity that causes the regularity [Leuridan] |