Combining Texts

All the ideas for 'Two-Dimensional Semantics', 'The Varieties of Reference' and 'On the Question of Absolute Undecidability'

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30 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / A. Necessity / 3. Types of Necessity
Superficial necessity is true in all worlds; deep necessity is thus true, no matter which world is actual [Schroeter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
Contradictory claims about a necessary god both seem apriori coherent [Schroeter]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
2D semantics gives us apriori knowledge of our own meanings [Schroeter]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Experiences have no conceptual content [Evans, by Greco]
We have far fewer colour concepts than we have discriminations of colour [Evans]
18. Thought / C. Content / 1. Content
Some representational states, like perception, may be nonconceptual [Evans, by Schulte]
18. Thought / C. Content / 5. Twin Earth
Your view of water depends on whether you start from the actual Earth or its counterfactual Twin [Schroeter]
18. Thought / C. Content / 7. Narrow Content
Rationalists say knowing an expression is identifying its extension using an internal cognitive state [Schroeter]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
The Generality Constraint says if you can think a predicate you can apply it to anything [Evans]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke]
19. Language / A. Nature of Meaning / 1. Meaning
Internalist meaning is about understanding; externalist meaning is about embedding in a situation [Schroeter]
19. Language / C. Assigning Meanings / 2. Semantics
Semantic theory assigns meanings to expressions, and metasemantics explains how this works [Schroeter]
19. Language / C. Assigning Meanings / 4. Compositionality
Semantic theories show how truth of sentences depends on rules for interpreting and joining their parts [Schroeter]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
'Federer' and 'best tennis player' can't mean the same, despite having the same extension [Schroeter]
Simple semantics assigns extensions to names and to predicates [Schroeter]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
Possible worlds semantics uses 'intensions' - functions which assign extensions at each world [Schroeter]
Possible worlds make 'I' and that person's name synonymous, but they have different meanings [Schroeter]
Possible worlds semantics implies a constitutive connection between meanings and modal claims [Schroeter]
In the possible worlds account all necessary truths are same (because they all map to the True) [Schroeter]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Array worlds along the horizontal, and contexts (world,person,time) along the vertical [Schroeter]
If we introduce 'actually' into modal talk, we need possible worlds twice to express this [Schroeter]
Do we know apriori how we refer to names and natural kinds, but their modal profiles only a posteriori? [Schroeter]
2D fans defend it for conceptual analysis, for meaning, and for internalist reference [Schroeter]
2D semantics can't respond to contingent apriori claims, since there is no single proposition involved [Schroeter]