Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Duncan Pritchard and Keith Campbell

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29 ideas

2. Reason / E. Argument / 1. Argument
My modus ponens might be your modus tollens [Pritchard,D]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations need terms, so they must be second-order entities based on first-order tropes [Campbell,K]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are trope-sequences, in which tropes replace one another [Campbell,K]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Two red cloths are separate instances of redness, because you can dye one of them blue [Campbell,K]
Red could only recur in a variety of objects if it was many, which makes them particulars [Campbell,K]
Tropes solve the Companionship Difficulty, since the resemblance is only between abstract particulars [Campbell,K]
Tropes solve the Imperfect Community problem, as they can only resemble in one respect [Campbell,K]
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
Nominalism has the problem that without humans nothing would resemble anything else [Campbell,K]
9. Objects / A. Existence of Objects / 1. Physical Objects
Tropes are basic particulars, so concrete particulars are collections of co-located tropes [Campbell,K]
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
Two pure spheres in non-absolute space are identical but indiscernible [Campbell,K]
10. Modality / B. Possibility / 9. Counterfactuals
An improbable lottery win can occur in a nearby possible world [Pritchard,D]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Moore begs the question, or just offers another view, or uses 'know' wrongly [Pritchard,D, by PG]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
We can have evidence for seeing a zebra, but no evidence for what is entailed by that [Pritchard,D]
Favouring: an entailment will give better support for the first belief than reason to deny the second [Pritchard,D]
Maybe knowledge just needs relevant discriminations among contrasting cases [Pritchard,D]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Epistemic internalism usually says justification must be accessible by reflection [Pritchard,D]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
Externalism is better than internalism in dealing with radical scepticism [Pritchard,D]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / c. Disjunctivism
Disjunctivism says perceptual justification must be both factual and known by the agent [Pritchard,D]
Metaphysical disjunctivism says normal perceptions and hallucinations are different experiences [Pritchard,D]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Epistemic externalism struggles to capture the idea of epistemic responsibility [Pritchard,D]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
We assess error against background knowledge, but that is just what radical scepticism challenges [Pritchard,D]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Radical scepticism is merely raised, and is not a response to worrying evidence [Pritchard,D]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
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
Causal conditions are particular abstract instances of properties, which makes them tropes [Campbell,K]
Davidson can't explain causation entirely by events, because conditions are also involved [Campbell,K]