Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Function and Concept' and 'Causation and Supervenience'

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26 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
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]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]