Combining Texts

All the ideas for 'fragments/reports', 'The Limits of Contingency' and 'On Concept and Object'

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21 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
A thought can be split in many ways, so that different parts appear as subject or predicate [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
There is the concept, the object falling under it, and the extension (a set, which is also an object) [Frege, by George/Velleman]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege mistakenly takes existence to be a property of concepts, instead of being about things [Frege, by Yablo]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
It is unclear whether Frege included qualities among his abstract objects [Frege, by Hale]
9. Objects / A. Existence of Objects / 3. Objects in Thought
Frege's 'objects' are both the referents of proper names, and what predicates are true or false of [Frege, by Dummett]
9. Objects / A. Existence of Objects / 4. Impossible objects
A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
10. Modality / A. Necessity / 6. Logical Necessity
Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
10. Modality / B. Possibility / 3. Combinatorial possibility
Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Frege equated the concepts under which an object falls with its properties [Frege, by Dummett]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
As I understand it, a concept is the meaning of a grammatical predicate [Frege]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Frege felt that meanings must be public, so they are abstractions rather than mental entities [Frege, by Putnam]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
For all the multiplicity of languages, mankind has a common stock of thoughts [Frege]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]