Combining Texts

All the ideas for 'Necessary Existents', 'Sets, Aggregates and Numbers' and 'Facts and Propositions'

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8 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
"It is true that x" means no more than x [Ramsey]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Sentence meaning is given by the actions to which it would lead [Ramsey]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]