Combining Texts

All the ideas for 'Posthumous notes', 'Classes and Attributes' and 'On the Cosmos (lost)'

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9 ideas

8. Modes of Existence / B. Properties / 11. Properties as Sets
While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Transcendental philosophy is the subject becoming the originator of unified reality [Kant]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
There is no falsehood in harmony and number, only in irrational things [Philolaus]
Everything must involve numbers, or it couldn't be thought about or known [Philolaus]
Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
Self-created numbers make the universe stable [Philolaus]
27. Natural Reality / D. Cosmology / 1. Cosmology
Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius]