Combining Texts

All the ideas for 'Second Philosophy', 'Of Liberty and Necessity' and 'Sets, Aggregates and Numbers'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10594 Henkin semantics is more plausible for plural logic than for second-order logic [Maddy]
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]
10. Modality / B. Possibility / 5. Contingency
6215 'Contingent' means that the cause is unperceived, not that there is no cause [Hobbes]