Combining Texts

All the ideas for 'works', 'The Dappled World' and 'Sets, Aggregates and Numbers'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 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
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
14. Science / B. Scientific Theories / 1. Scientific Theory
17503 Theories can never represent accurately, because their components are abstract [Cartwright,N, by Portides]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22022 Beauty motivates morality, by harmonising feeling and reason [Schiller, by Pinkard]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
7675 Schiller speaks obsessively of freedom throughout his works [Schiller, by Berlin]