Combining Texts

All the ideas for 'Logical Consequence', 'Ambitious, yet modest, Metaphysics' and 'Rights of Man'

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12 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber]
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 / G. Quantification / 1. Quantification
The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber]
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]
24. Political Theory / B. Nature of a State / 3. Constitutions
A people, not government, creates a constitution, which is essential for legitimacy [Paine]