Combining Texts

All the ideas for 'Causal Relations', 'Counting and the Natural Numbers' and 'Function and Concept'

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23 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
The best way to do ontology is to make sense of our normal talk [Davidson]
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 / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
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]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
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]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations typically relate statements, not events [Davidson]
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]
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 / 1. Causation
Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos]
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]