Combining Texts

All the ideas for 'fragments/reports', 'On the Cosmos (lost)' and 'The Rationalists'

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11 ideas

9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification

472	No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus]

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

4304	Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]

12. Knowledge Sources / C. Rationalism / 1. Rationalism

4303	The notion of substance lies at the heart of rationalist metaphysics [Cottingham]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature

1518	Everything must involve numbers, or it couldn't be thought about or known [Philolaus]

1519	Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]

473	There is no falsehood in harmony and number, only in irrational things [Philolaus]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited

469	Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus]

26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity

4306	For rationalists, it is necessary that effects be deducible from their causes [Cottingham]

26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical

476	Self-created numbers make the universe stable [Philolaus]

27. Natural Reality / E. Cosmology / 1. Cosmology

1787	Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius]