Combining Texts

All the ideas for 'Mathematical Thought from Ancient to Modern Times', 'Reply to Hellman' and 'The Barcan Formula and Metaphysics'

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6 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]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]
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]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
A sentence is obvious if it is true, and any speaker of the language will instantly agree to it [Quine]