Combining Texts

All the ideas for 'fragments/reports', 'Mathematics without Foundations' and 'The Metaphysic of Abstract Particulars'

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22 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
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]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
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]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
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]
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 / A. Speculations on Nature / 5. Infinite in Nature
1748 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
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]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]