Combining Philosophers

All the ideas for Thrasymachus, Ori Simchen and Carl Friedrich Gauss

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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]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
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]
28. God / C. Attitudes to God / 3. Deism
Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]