Combining Texts

All the ideas for 'Induction', 'Purple Haze' and 'Mathematics and the Metaphysicians'

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8 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
If you would deny a truth if you know the full evidence, then knowledge has social aspects [Harman, by Sosa]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / d. Explanatory gap
Even if we identify pain with neural events, we can't explain why those neurons cause that feeling [Levine, by Papineau]
Only phenomenal states have an explanatory gap; water is fully explained by H2O [Levine, by Papineau]
Materialism won't explain phenomenal properties, because the latter aren't seen in causal roles [Papineau on Levine]