Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Aenesidemus' and 'On the Foundations of Logic and Arithmetic'

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5 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
7. Existence / D. Theories of Reality / 2. Realism
Consciousness is not entirely representational, because there are pains, and the self [Schulze, by Pinkard]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]