Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Philolaus and Iamblichus

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10 ideas

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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are [Philolaus]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
There is no falsehood in harmony and number, only in irrational things [Philolaus]
Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]
Everything must involve numbers, or it couldn't be thought about or known [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 / E. Cosmology / 1. Cosmology
Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus]