Combining Texts

All the ideas for 'Mathematics and the Metaphysicians', 'fragments/reports' and 'Fallibilism'

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8 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
7557 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
10059 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
7556 A collection is infinite if you can remove some terms without diminishing its number [Russell]
10. Modality / A. Necessity / 8. Transcendental Necessity
490 Everything happens by reason and necessity [Leucippus]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
19701 Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty]
19700 It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty]
19702 We can't normally say that we know something 'but it might be false' [Dougherty]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
7554 Self-evidence is often a mere will-o'-the-wisp [Russell]