Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Defining 'Intrinsic' (with Rae Langton)' and 'Sets, Aggregates and Numbers'

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10 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
21757 Philosophy is the conceptual essence of the shape of history [Hegel]
2. Reason / D. Definition / 1. Definitions
15457 Interdefinition is useless by itself, but if we grasp one separately, we have them both [Lewis]
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]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
15400 We must avoid circularity between what is intrinsic and what is natural [Lewis, by Cameron]
15458 A property is 'intrinsic' iff it can never differ between duplicates [Lewis]
15459 Ellipsoidal stars seem to have an intrinsic property which depends on other objects [Lewis]