Combining Texts

All the ideas for 'Sets, Aggregates and Numbers', 'Heidegger: an introduction' and 'The Absurd'

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10 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Knowledge is not a static set of correct propositions, but a continuing search for better interpretations [Polt]
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]
10. Modality / B. Possibility / 1. Possibility
When we consider possibilities, there must be something we are considering [Polt]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Justifications come to an end when we want them to [Nagel]
23. Ethics / F. Existentialism / 2. Nihilism
If a small brief life is absurd, then so is a long and large one [Nagel]