Combining Philosophers

Ideas for Eucleides, Marcus Rossberg and Feferman / Feferman

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

10158

A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]

10162

Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]

10756

A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]

5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms

10758

If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

10160

Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]

10159

Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]