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All the ideas for 'Logical Consequence', 'Truth' and 'Philosophy and the Nature of Language'

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26 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
To explain a concept, we need its purpose, not just its rules of usage [Dummett]
3. Truth / A. Truth Problems / 1. Truth
It is part of the concept of truth that we aim at making true statements [Dummett]
3. Truth / A. Truth Problems / 2. Defining Truth
We must be able to specify truths in a precise language, like winning moves in a game [Dummett]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Tarski's truth is like rules for winning games, without saying what 'winning' means [Dummett, by Davidson]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
7. Existence / E. Categories / 5. Category Anti-Realism
If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE]
A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE]
18. Thought / E. Abstraction / 1. Abstract Thought
You can't infer a dog's abstract concepts from its behaviour [Dummett]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE]
The verification principle itself seems neither analytic nor verifiable [Cooper,DE]
19. Language / A. Nature of Meaning / 6. Meaning as Use
'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE]
19. Language / B. Reference / 1. Reference theories
Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE]
Reference need not be a hit-or-miss affair [Cooper,DE]
19. Language / C. Assigning Meanings / 3. Predicates
If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE]
19. Language / E. Analyticity / 2. Analytic Truths
An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]