Combining Philosophers

Ideas for Hermarchus, Theodore Sider and Gottfried Leibniz

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4 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

13002

It is always good to reduce the number of axioms [Leibniz]

5. Theory of Logic / K. Features of Logics / 4. Completeness

13698

In a complete logic you can avoid axiomatic proofs, by using models to show consequences [Sider]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

19391

We can assign a characteristic number to every single object [Leibniz]

5. Theory of Logic / K. Features of Logics / 6. Compactness

13699

Compactness surprisingly says that no contradictions can emerge when the set goes infinite [Sider]