Combining Texts

Ideas for 'Parmenides', 'Logical Atomism' and 'Philosophy of Mathematics'

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5 ideas

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

10239

The central notion of model theory is the relation of 'satisfaction' [Shapiro]

10240

Model theory deals with relations, reference and extensions [Shapiro]

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

10214

Theory ontology is never complete, but is only determined 'up to isomorphism' [Shapiro]

10238

The set-theoretical hierarchy contains as many isomorphism types as possible [Shapiro]

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

10234

Any theory with an infinite model has a model of every infinite cardinality [Shapiro]