Combining Philosophers

All the ideas for Michael Hallett, N.L. Wilson and Tim Bayne

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11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
How we evaluate evidence depends on our background beliefs [Bayne]
Clifford's dictum seems to block our beliefs in morality, politics and philosophy [Bayne]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Physicalism correlates brain and mind, explains causation by thought, and makes nature continuous [Bayne]
18. Thought / A. Modes of Thought / 8. Human Thought
Perception reveals what animals think, but humans can disengage thought from perception [Bayne]
Some people centre space on themselves; others centre space on the earth [Bayne]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
The alternative to a language of thought is map-like or diagram-like thought [Bayne]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
We translate in a way that makes the largest possible number of statements true [Wilson,NL]