Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Philosophy of Mind: 1950-2000'

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11 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
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]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]