Combining Texts

All the ideas for 'Concerning the Trinity', 'The Raft and the Pyramid' and 'On boundary numbers and domains of sets'

expand these ideas     |    start again     |     specify just one area for these texts

10 ideas

2. Reason / A. Nature of Reason / 6. Coherence
8797 The negation of all my beliefs about my current headache would be fully coherent [Sosa]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17832 Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13028 Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
17626 The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
7. Existence / E. Categories / 1. Categories
16661 There are two sorts of category - referring to things, and to circumstances of things [Boethius]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
8794 There are very few really obvious truths, and not much can be proved from them [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
8796 A single belief can trail two regresses, one terminating and one not [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
8799 If mental states are not propositional, they are logically dumb, and cannot be foundations [Sosa]
8795 Mental states cannot be foundational if they are not immune to error [Sosa]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
8798 Vision causes and justifies beliefs; but to some extent the cause is the justification [Sosa]