Combining Texts

All the ideas for 'fragments/reports', 'Letters to Johann Bernoulli' and 'Sets, Aggregates and Numbers'

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11 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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
13174 A piece of flint contains something resembling perceptions and appetites [Leibniz]
13175 Entelechies are analogous to souls, as other minds are analogous to our own minds [Leibniz]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
13172 What we cannot imagine may still exist [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
13173 Death is just the contraction of an animal [Leibniz]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]