Combining Texts

All the ideas for 'Critical Common-Sensism', 'The Foundations of Mathematics' and 'The Metaphysic of Abstract Particulars'

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24 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13430 Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
13428 Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13427 Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
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 / L. Paradox / 1. Paradox
13334 Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
13426 Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
13425 Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
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 / B. Unity of Objects / 3. Unity Problems / e. Vague objects
14797 Vagueness is a neglected but important part of mathematical thought [Peirce]
14798 All communication is vague, and is outside the principle of non-contradiction [Peirce]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
4033 Two pure spheres in non-absolute space are identical but indiscernible [Campbell,K]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
22328 I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
22325 A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
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
8516 Davidson can't explain causation entirely by events, because conditions are also involved [Campbell,K]
8517 Causal conditions are particular abstract instances of properties, which makes them tropes [Campbell,K]