Combining Philosophers

All the ideas for Saunders MacLane, Trent Dougherty and Richard Jeffrey

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6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
A possible world can be seen as a complete and consistent novel [Jeffrey]
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]
14. Science / C. Induction / 6. Bayes's Theorem
Instead of gambling, Jeffrey made the objects of Bayesian preference to be propositions [Jeffrey, by Davidson]