10 ideas
472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
Full Idea: No existing things would be clear to anyone, either in themselves or in their relationship to one another, unless there existed Number and its essence. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B11), quoted by John Stobaeus - Anthology 1.03.8 |
17319 | There are 'conceptual' explanations, with their direction depending on complexity [Schnieder] |
Full Idea: The direction of conceptual explanations seems to be owed to factors of conceptual complexity and primitiveness. | |
From: Benjamin Schnieder (Truth-making without Truth-makers [2006], p.33), quoted by David Liggins - Truth-makers and dependence 10.2 | |
A reaction: Schnieder proposes that there are just 'causal' and 'conceptual' explanations. Liggins objects that there are other types of dependence which offer explanations. |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
1518 | Everything must involve numbers, or it couldn't be thought about or known [Philolaus] |
Full Idea: Everything which is known has number, because otherwise it is impossible for anything to be the object of thought or knowledge. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B04), quoted by John Stobaeus - Anthology 1.21.7b |
1519 | Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus] |
Full Idea: It would have been impossible for the dissimilar and incompatible sources to have been made into an orderly universe unless harmony had been present in some form or other. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B06), quoted by John Stobaeus - Anthology 1.21.7d |
473 | There is no falsehood in harmony and number, only in irrational things [Philolaus] |
Full Idea: The nature of number and harmony admits of no falsehood; for this is unrelated to them. Falsehood and envy belong to the nature of the Unlimited and the Unintelligent and the Irrational. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B11), quoted by (who?) - where? |
469 | Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus] |
Full Idea: Since it is plain that existing things are neither wholly from the Limiting, nor wholly from the Unlimited, clearly the cosmos and its contents were fitted together from both the Limiting and the Unlimited. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B02), quoted by John Stobaeus - Anthology 1.21.7a |
476 | Self-created numbers make the universe stable [Philolaus] |
Full Idea: Number is the ruling and self-created bond which maintains the everlasting stability of the contents of the universe. | |
From: Philolaus (On the Cosmos (lost) [c.435 BCE], B23), quoted by (who?) - where? |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |
1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |
Full Idea: Philolaus was the first person to affirm that the earth moves in a circle. | |
From: report of Philolaus (On the Cosmos (lost) [c.435 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 08.Ph.3 |