Combining Texts

All the ideas for 'Logical Consequence', 'The Same F' and 'Aesthetics'

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13 ideas

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]
9. Objects / F. Identity among Objects / 3. Relative Identity
Statements of 'relative identity' are really statements of resemblance [Perry]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics presupposes a distinctive sort of experience, and a unified essence for art [Gardner]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
Art works originate in the artist's mind, and appreciation is re-creating this mental object [Gardner]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Aesthetic objectivists must explain pleasure being essential, but not in the object [Gardner]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Aesthetic judgements necessarily require first-hand experience, unlike moral judgements [Gardner]