Combining Texts

All the ideas for 'Logical Consequence', 'Entity and Identity' and 'The Method of Truth in Metaphysics'

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


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 / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]
9. Objects / D. Essence of Objects / 3. Individual Essences
It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]
16. Persons / A. Concept of a Person / 1. Existence of Persons
Metaphysics requires the idea of people (speakers) located in space and time [Davidson]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Sentences held true determine the meanings of the words they contain [Davidson]