Combining Texts

All the ideas for 'New Proof of Possibility of Well-Ordering', 'A Plea for Substitutional Quantification' and 'The Identity of Indiscernibles'

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8 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic

9470	Modal logic is not an extensional language [Parsons,C]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

10196

The Axiom of Choice needs a criterion of choice [Black]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

9469	Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]

9468	On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]

9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties

10194

Two things can only be distinguished by a distinct property or a distinct relation [Black]

9. Objects / F. Identity among Objects / 5. Self-Identity

10193

The 'property' of self-identity is uselessly tautological [Black]

9. Objects / F. Identity among Objects / 7. Indiscernible Objects

10195

If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black]

18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement

17613

We should judge principles by the science, not science by some fixed principles [Zermelo]