Combining Texts

All the ideas for 'Extrinsic Properties', 'On boundary numbers and domains of sets' and 'Philosophical Remarks'

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9 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]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider]
Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis]
9. Objects / A. Existence of Objects / 3. Objects in Thought
An 'object' is just what can be referred to without possible non-existence [Wittgenstein]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Total intrinsic properties give us what a thing is [Lewis]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Language pictures the essence of the world [Wittgenstein]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
You can't believe it if you can't imagine a verification for it [Wittgenstein]