Combining Texts

All the ideas for 'Sets, Aggregates and Numbers', 'Vindication of Religion (extract)' and 'The Power of Words'

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9 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]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Religious experience deserves the same respect as our other key experiences, and is best called 'holy' [Taylor,AE, by PG]
24. Political Theory / D. Ideologies / 3. Conservatism
National leaders want to preserve necessary order - but always the existing order [Weil]
24. Political Theory / D. Ideologies / 14. Nationalism
National prestige consists of behaving as if you could beat the others in a war [Weil]
25. Social Practice / E. Policies / 1. War / a. Just wars
Modern wars are fought in the name of empty words which are given capital letters [Weil]