Combining Texts

All the ideas for 'A Theory of Conditionals', 'Carnap and Logical Truth' and 'Semantic Relationism'

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29 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
It seemed that Frege gave the syntax for variables, and Tarski the semantics, and that was that [Fine,K]
In separate expressions variables seem identical in role, but in the same expression they aren't [Fine,K]
The 'algebraic' account of variables reduces quantification to the algebra of its component parts [Fine,K]
'Instantial' accounts of variables say we grasp arbitrary instances from their use in quantification [Fine,K]
The usual Tarskian interpretation of variables is to specify their range of values [Fine,K]
Variables can be viewed as special terms - functions taking assignments into individuals [Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Cicero/Cicero and Cicero/Tully may differ in relationship, despite being semantically the same [Fine,K]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
If set theory is not actually a branch of logic, then Frege's derivation of arithmetic would not be from logic [Quine]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Commitment to universals is as arbitrary or pragmatic as the adoption of a new system of bookkeeping [Quine]
9. Objects / F. Identity among Objects / 1. Concept of Identity
I can only represent individuals as the same if I do not already represent them as the same [Fine,K]
9. Objects / F. Identity among Objects / 5. Self-Identity
If Cicero=Tully refers to the man twice, then surely Cicero=Cicero does as well? [Fine,K]
10. Modality / A. Necessity / 6. Logical Necessity
Frege moved Kant's question about a priori synthetic to 'how is logical certainty possible?' [Quine]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
In nearby worlds where A is true, 'if A,B' is true or false if B is true or false [Stalnaker]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
A possible world is the ontological analogue of hypothetical beliefs [Stalnaker]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
Examination of convention in the a priori begins to blur the distinction with empirical knowledge [Quine]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Mental files are devices for keeping track of basic coordination of objects [Fine,K]
18. Thought / C. Content / 1. Content
You cannot determine the full content from a thought's intrinsic character, as relations are involved [Fine,K]
19. Language / C. Assigning Meanings / 2. Semantics
The standard aim of semantics is to assign a semantic value to each expression [Fine,K]
That two utterances say the same thing may not be intrinsic to them, but involve their relationships [Fine,K]
The two main theories are Holism (which is inferential), and Representational (which is atomistic) [Fine,K]
We should pursue semantic facts as stated by truths in theories (and not put the theories first!) [Fine,K]
Referentialist semantics has objects for names, properties for predicates, and propositions for connectives [Fine,K]
Fregeans approach the world through sense, Referentialists through reference [Fine,K]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
I take indexicals such as 'this' and 'that' to be linked to some associated demonstration [Fine,K]