Combining Texts

All the ideas for 'Logical Consequence', 'Relations' and 'Reference and Necessity'

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22 ideas

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]
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 / F. Referring in Logic / 1. Naming / c. Names as referential
16405 To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker]
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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
21354 It may be that internal relations like proportion exist, because we directly perceive it [MacBride]
8. Modes of Existence / A. Relations / 2. Internal Relations
21353 Internal relations are fixed by existences, or characters, or supervenience on characters [MacBride]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
21352 'Multigrade' relations are those lacking a fixed number of relata [MacBride]
9. Objects / C. Structure of Objects / 7. Substratum
16407 Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
16397 If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker]
16399 Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker]
16398 Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
16396 Kripke's possible worlds are methodological, not metaphysical [Stalnaker]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
16408 Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker]
19. Language / A. Nature of Meaning / 1. Meaning
16406 If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
16404 In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker]
19. Language / C. Assigning Meanings / 2. Semantics
16403 'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
16401 To understand an utterance, you must understand what the world would be like if it is true [Stalnaker]