Combining Texts

All the ideas for 'Logical Consequence', 'The Bacchae' and 'The Varieties of Reference'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Our ancient beliefs can never be overthrown by subtle arguments [Euripides]
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 / 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]
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 / 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]