Combining Texts
Ideas for
'Thinking About Mathematics', 'Philosophy of Mathematics' and 'On the Source of Necessity'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10240
|
Model theory deals with relations, reference and extensions [Shapiro]
|
10239
|
The central notion of model theory is the relation of 'satisfaction' [Shapiro]
|
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10238
|
The set-theoretical hierarchy contains as many isomorphism types as possible [Shapiro]
|
10214
|
Theory ontology is never complete, but is only determined 'up to isomorphism' [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]
|