Combining Texts

All the ideas for 'Particulars in Particular Clothing', 'Two treatises' and 'Sets, Aggregates and Numbers'

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8 ideas

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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity is the capacity to be divided [Digby]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Colours arise from the rarity, density and mixture of matter [Digby]