Combining Texts

All the ideas for 'Logical Consequence', 'Contextualism Contested (and reply)' and 'The Metaphysic of Abstract Particulars'

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25 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 / E. Structures of Logic / 6. Relations in Logic
8525 Relations need terms, so they must be second-order entities based on first-order tropes [Campbell,K]
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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
8518 Events are trope-sequences, in which tropes replace one another [Campbell,K]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
8513 Two red cloths are separate instances of redness, because you can dye one of them blue [Campbell,K]
8514 Red could only recur in a variety of objects if it was many, which makes them particulars [Campbell,K]
8522 Tropes solve the Companionship Difficulty, since the resemblance is only between abstract particulars [Campbell,K]
8523 Tropes solve the Imperfect Community problem, as they can only resemble in one respect [Campbell,K]
8524 Trope theory makes space central to reality, as tropes must have a shape and size [Campbell,K]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
8521 Nominalism has the problem that without humans nothing would resemble anything else [Campbell,K]
9. Objects / A. Existence of Objects / 1. Physical Objects
8515 Tropes are basic particulars, so concrete particulars are collections of co-located tropes [Campbell,K]
8519 Bundles must be unique, so the Identity of Indiscernibles is a necessity - which it isn't! [Campbell,K]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
4033 Two pure spheres in non-absolute space are identical but indiscernible [Campbell,K]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
19555 People begin to doubt whether they 'know' when the answer becomes more significant [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
19557 Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]
19556 Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
8512 Abstractions come before the mind by concentrating on a part of what is presented [Campbell,K]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
8517 Causal conditions are particular abstract instances of properties, which makes them tropes [Campbell,K]
8516 Davidson can't explain causation entirely by events, because conditions are also involved [Campbell,K]