Combining Philosophers

Ideas for Eucleides, Marcus Rossberg and Feferman / Feferman

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5 ideas

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

10161

If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]

10761

Completeness can always be achieved by cunning model-design [Rossberg]

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

10755

A deductive system is only incomplete with respect to a formal semantics [Rossberg]

5. Theory of Logic / K. Features of Logics / 7. Decidability

10156

'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]

10155

Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]