Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Introduction to Philosophical Papers II'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
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]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
Humean supervenience says the world is just a vast mosaic of qualities in space-time [Lewis]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The world is just a vast mosaic of little matters of local particular fact [Lewis]