Combining Texts

All the ideas for 'Logical Consequence', 'Hippias Major' and 'On Minerals'

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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]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Substantial forms must exist, to explain the stability of metals like silver and tin [Albertus Magnus]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
What is fine is always difficult [Plato]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
What is fine is the parent of goodness [Plato]
25. Social Practice / F. Life Issues / 5. Sexual Morality
While sex is very pleasant, it should be in secret, as it looks contemptible [Plato]