Combining Texts

All the ideas for 'The Individuation of Events', 'Reference and Necessity' and 'On Second-Order Logic'

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23 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Davidson controversially proposed to quantify over events [Davidson, by Engelbretsen]
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
You can't identify events by causes and effects, as the event needs to be known first [Dummett on Davidson]
Events can only be individuated causally [Davidson, by Schaffer,J]
We need events for action statements, causal statements, explanation, mind-and-body, and adverbs [Davidson, by Bourne]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
The claim that events are individuated by their causal relations to other events is circular [Lowe on Davidson]
9. Objects / C. Structure of Objects / 7. Substratum
Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker]
Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker]
Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Kripke's possible worlds are methodological, not metaphysical [Stalnaker]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker]
19. Language / A. Nature of Meaning / 1. Meaning
If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker]
19. Language / C. Assigning Meanings / 2. Semantics
'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
To understand an utterance, you must understand what the world would be like if it is true [Stalnaker]