Combining Texts

All the ideas for 'poems', 'Continuity and Irrational Numbers' and 'The History of Animals'

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8 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]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Aristotelian explanation by essence may need to draw on knowledge of other essences [Aristotle, by Koslicki]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
27. Natural Reality / G. Biology / 2. Life
Plants have far less life than animals, but more life than other corporeal entities [Aristotle]
27. Natural Reality / G. Biology / 3. Evolution
There is a gradual proceeding from the inanimate to animals, with no clear borderlines [Aristotle]