Combining Texts

All the ideas for 'fragments/reports', 'The Ways of Paradox' and 'Semantics for Propositional Attitudes'

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10 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
The set scheme discredited by paradoxes is actually the most natural one [Quine]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Russell's antinomy challenged the idea that any condition can produce a set [Quine]
5. Theory of Logic / L. Paradox / 3. Antinomies
Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
A barber shaves only those who do not shave themselves. So does he shave himself? [Quine]
Membership conditions which involve membership and non-membership are paradoxical [Quine]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If we write it as '"this sentence is false" is false', there is no paradox [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]