Combining Texts

All the ideas for 'fragments/reports', 'Fallibilism' and 'On the Concept of Number'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty]
It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty]
We can't normally say that we know something 'but it might be false' [Dougherty]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]