Combining Texts

All the ideas for 'Laches', 'Sets, Aggregates and Numbers' and 'Does Ontology Rest on a Mistake?'

expand these ideas     |    start again     |     specify just one area for these texts


10 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
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]
7. Existence / D. Theories of Reality / 7. Fictionalism
For me, fictions are internally true, without a significant internal or external truth-value [Yablo]
Make-believe can help us to reason about facts and scientific procedures [Yablo]
'The clouds are angry' can only mean '...if one were attributing emotions to clouds' [Yablo]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]