display all the ideas for this combination of philosophers
2 ideas
1524 | For Empedocles thinking is almost identical to perception [Empedocles, by Theophrastus] |
Full Idea: Empedocles assumes that thinking is either identical to or very similar to sense-perception. | |
From: report of Empedocles (fragments/reports [c.453 BCE], A86) by Theophrastus - On the Senses 9 | |
A reaction: Not to be sniffed at. We can, of course, control our thinking (though we can't control the controller) and we contemplate abstractions, but that might be seen as a sort of perception. Vision is not as visual as we think. |
17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
Full Idea: Principles must be judged from the point of view of science, and not science from the point of view of principles fixed once and for all. Geometry existed before Euclid's 'Elements', just as arithmetic and set theory did before Peano's 'Formulaire'. | |
From: Ernst Zermelo (New Proof of Possibility of Well-Ordering [1908], §2a) | |
A reaction: This shows why the axiomatisation of set theory is an ongoing and much-debated activity. |