Combining Texts

All the ideas for 'The Architecture of Mathematics', 'Two Chief World Systems' and 'De arcanus motus'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

8. Modes of Existence / C. Powers and Dispositions / 1. Powers

12733

Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]

10. Modality / A. Necessity / 2. Nature of Necessity

12734

Every necessary proposition is demonstrable to someone who understands [Leibniz]

27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion

19673

Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]