Combining Texts

All the ideas for 'Clitophon', 'Sets, Aggregates and Numbers' and 'Merely Possible Propositions'

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8 ideas

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]
9. Objects / A. Existence of Objects / 4. Impossible objects
14617 Predicates can't apply to what doesn't exist [Stalnaker]
19. Language / D. Propositions / 3. Concrete Propositions
14616 A 'Russellian proposition' is an ordered sequence of individual, properties and relations [Stalnaker]
22. Metaethics / B. Value / 2. Values / f. Altruism
1590 The just man does not harm his enemies, but benefits everyone [Plato]