Combining Texts

All the ideas for 'City of God', 'Proof that every set can be well-ordered' and 'The Barcan Formula and Metaphysics'

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7 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]