Combining Texts

All the ideas for 'fragments/reports', 'Sets, Aggregates and Numbers' and 'Philosophy without Intuitions'

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8 ideas

2. Reason / E. Argument / 7. Thought Experiments
20183 So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
20182 The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]