Combining Texts

All the ideas for 'Logical Consequence', 'Set Theory and its Logic' and 'Intro to Oxford Hndbk of Metaphysics'

expand these ideas     |    start again     |     specify just one area for these texts

---

10 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual

9217	Modern empirical metaphysics focuses on ontological commitments of discourse, or on presuppositions [Loux/Zimmerman]

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]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21717

Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]

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]