Combining Texts

All the ideas for 'Logical Consequence', 'Representation in Music' and 'On Anger (Book 3)'

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15 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 '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
10690 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
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 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
10696 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
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
12167 Reference without predication is the characteristic of expression [Scruton]
21. Aesthetics / B. Nature of Art / 5. Art as Language
12166 If music refers to love, it contains no predication, so it is expression, not language [Scruton]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
12168 Music is not representational, since thoughts about a subject are never essential to it [Scruton]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
13554 True greatness is never allowing events to disturb you [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
13556 Every night I critically review how I have behaved during the day [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
13552 Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca]
13553 Anger is a vice which afflicts good men as well as bad [Seneca]