Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'Ethics of Ambiguity' and 'Causal and Metaphysical Necessity'

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14 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 / I. Semantics of Logic / 3. Logical Truth
Restrict 'logical truth' to formal logic, rather than including analytic and metaphysical truths [Shoemaker]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
8. Modes of Existence / B. Properties / 1. Nature of Properties
A property's causal features are essential, and only they fix its identity [Shoemaker]
I claim that a property has its causal features in all possible worlds [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
I now deny that properties are cluster of powers, and take causal properties as basic [Shoemaker]
10. Modality / A. Necessity / 5. Metaphysical Necessity
If something is possible, but not nomologically possible, we need metaphysical possibility [Shoemaker]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Once you give up necessity as a priori, causal necessity becomes the main type of necessity [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Empirical evidence shows that imagining a phenomenon can show it is possible [Shoemaker]
Imagination reveals conceptual possibility, where descriptions avoid contradiction or incoherence [Shoemaker]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
'Grue' only has causal features because of its relation to green [Shoemaker]
23. Ethics / F. Existentialism / 3. Angst
If existence is absurd it can never have a meaning [Beauvoir]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
We might say laws are necessary by combining causal properties with Armstrong-Dretske-Tooley laws [Shoemaker]