Combining Texts

All the ideas for 'Presidential Address of Am. Math. Soc', 'On the Cosmos (lost)' and 'Law and Authority'

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9 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
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]
25. Social Practice / B. Equalities / 1. Grounds of equality
Only liberty, equality and sympathy can stand up to anti-social people [Kropotkin]
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]