Combining Texts

All the ideas for 'works', 'Sets, Aggregates and Numbers' and 'Matter and Memory'

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8 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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]

7. Existence / A. Nature of Existence / 3. Being / c. Becoming

21846

Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]

12. Knowledge Sources / E. Direct Knowledge / 4. Memory

21854

Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]