Combining Texts

All the ideas for 'fragments/reports', 'Replies on 'Limits of Abstraction'' and 'Causation and Supervenience'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Concern for rigour can get in the way of understanding phenomena [Fine,K]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
There is no stage at which we can take all the sets to have been generated [Fine,K]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
We might combine the axioms of set theory with the axioms of mereology [Fine,K]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Why should a Dedekind cut correspond to a number? [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Knowledge is mind and knowing 'cohabiting' [Lycophron, by Aristotle]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
We can combine ZF sets with abstracts as urelements [Fine,K]
We can create objects from conditions, rather than from concepts [Fine,K]
26. Natural Theory / C. Causation / 2. Types of cause
Causation is either direct realism, Humean reduction, non-Humean reduction or theoretical realism [Tooley]
Causation distinctions: reductionism/realism; Humean/non-Humean states; observable/non-observable [Tooley]
26. Natural Theory / C. Causation / 5. Direction of causation
We can only reduce the direction of causation to the direction of time if we are realist about the latter [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Causation is directly observable in pressure on one's body, and in willed action [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilist laws are compatible with effects always or never happening [Tooley]
The actual cause may not be the most efficacious one [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
In counterfactual worlds there are laws with no instances, so laws aren't supervenient on actuality [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Explaining causation in terms of laws can't explain the direction of causation [Tooley]
Causation is a concept of a relation the same in all worlds, so it can't be a physical process [Tooley]