Combining Texts

All the ideas for 'works', 'On boundary numbers and domains of sets' and 'The Barcan Formula and Metaphysics'

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

---

8 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16186

The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]

16187

The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]

16190

BF implies that if W possibly had a child, then something is possibly W's child [Simchen]

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 / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

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]

10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism

16188

Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]