Combining Texts

All the ideas for 'Logical Consequence', 'The Great Event' and '64: Gryllus - on Rationality in Animals'

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12 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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Being manly and brave is the result of convention, not of human nature [Plutarch]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Animals have not been led into homosexuality, because they value pleasure very little [Plutarch]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
The Buddha made flowers float in the air, to impress people, and make them listen [Mahavastu]