Combining Texts

All the ideas for 'The Philosophy of Logic', 'Function and Concept' and 'Causality and Properties'

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49 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
One system has properties, powers, events, similarity and substance [Shoemaker]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Analysis aims at internal relationships, not reduction [Shoemaker]
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 / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
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 / 1. Nature of Properties
Formerly I said properties are individuated by essential causal powers and causing instantiation [Shoemaker, by Shoemaker]
8. Modes of Existence / B. Properties / 5. Natural Properties
Genuine properties are closely related to genuine changes [Shoemaker]
Properties must be essentially causal if we can know and speak about them [Shoemaker]
To ascertain genuine properties, examine the object directly [Shoemaker]
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]
We should abandon the idea that properties are the meanings of predicate expressions [Shoemaker]
Some truths are not because of a thing's properties, but because of the properties of related things [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Things have powers in virtue of (which are entailed by) their properties [Shoemaker]
One power can come from different properties; a thing's powers come from its properties [Shoemaker]
Properties are functions producing powers, and powers are functions producing effects [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Shoemaker says all genuine properties are dispositional [Shoemaker, by Ellis]
A causal theory of properties focuses on change, not (say) on abstract properties of numbers [Shoemaker]
'Square', 'round' and 'made of copper' show that not all properties are dispositional [Shoemaker]
The identity of a property concerns its causal powers [Shoemaker]
Properties are clusters of conditional powers [Shoemaker]
Could properties change without the powers changing, or powers change without the properties changing? [Shoemaker]
If properties are separated from causal powers, this invites total elimination [Shoemaker]
The notions of property and of causal power are parts of a single system of related concepts [Shoemaker]
Actually, properties are individuated by causes as well as effects [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
Dispositional predicates ascribe powers, and the rest ascribe properties [Shoemaker]
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals concern how things are, and how they could be [Shoemaker, by Bird]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Triangular and trilateral are coextensive, but different concepts; but powers and properties are the same [Shoemaker]
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]
9. Objects / D. Essence of Objects / 15. Against Essentialism
There is no subset of properties which guarantee a thing's identity [Shoemaker]
10. Modality / B. Possibility / 1. Possibility
Possible difference across worlds depends on difference across time in the actual world [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
'Conceivable' is either not-provably-false, or compatible with what we know? [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
It is possible to conceive what is not possible [Shoemaker]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grueness is not, unlike green and blue, associated with causal potential [Shoemaker]
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 / 8. Particular Causation / b. Causal relata
If causality is between events, there must be reference to the properties involved [Shoemaker]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If causal laws describe causal potentialities, the same laws govern properties in all possible worlds [Shoemaker]
If properties are causal, then causal necessity is a species of logical necessity [Shoemaker]
If a world has different causal laws, it must have different properties [Shoemaker]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
It looks as if the immutability of the powers of a property imply essentiality [Shoemaker]
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]