Combining Texts

All the ideas for 'Action, Intention and Reason', 'Literature and Morals' and 'Sets, Aggregates and Numbers'

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7 ideas

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]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Actions are not mere effects of reasons, but are under their control [Audi,R]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Those who say immorality is not an aesthetic criterion must show that all criteria are aesthetic [Weil]