Combining Texts
Ideas for
'Parmenides', 'Logicism and Ontological Commits. of Arithmetic' and 'Model Theory'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
11 ideas
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478
|
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
|
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10015
|
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
|
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477
|
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
|
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10011
|
Identity is a level one relation with a second-order definition [Hodes]
|
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10016
|
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
|
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474
|
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
|
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473
|
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
|
10475
|
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
|
10481
|
Models in model theory are structures, not sets of descriptions [Hodges,W]
|
5. Theory of Logic / L. Paradox / 3. Antinomies
13986
|
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
|
14150
|
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
|