Combining Texts

All the ideas for 'The Union of Body and Soul', 'Letter to the Editor about Bayle' and 'Continuity and Irrational Numbers'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
A true cause must involve a necessary connection between cause and effect [Malebranche]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
In addition to laws, God must also create appropriate natures for things [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
All that is real in motion is the force or power which produces change [Leibniz]