Combining Texts

All the ideas for 'fragments/reports', 'Logicism, Some Considerations (PhD)' and 'The Metaphysic of Abstract Particulars'

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


20 ideas

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 / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
An adequate account of a number must relate it to its series [Benacerraf]
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]
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 / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Davidson can't explain causation entirely by events, because conditions are also involved [Campbell,K]
Causal conditions are particular abstract instances of properties, which makes them tropes [Campbell,K]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]