Combining Texts

All the ideas for 'The Roots of Reference', 'On boundary numbers and domains of sets' and 'Postscripts on supervenience'

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6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is not a dependence relation, on the lines of causal, mereological or semantic dependence [Kim]
Supervenience is just a 'surface' relation of pattern covariation, which still needs deeper explanation [Kim]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]