Combining Philosophers

All the ideas for William K. Clifford, Nicholas Bourbaki and Alonzo Church

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3 ideas

5. Theory of Logic / K. Features of Logics / 7. Decidability
Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
It is always wrong to believe things on insufficient evidence [Clifford]