Combining Texts

All the ideas for 'Science and Method', 'Causation' and 'Sets, Aggregates and Numbers'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
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]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Events are picked out by descriptions, and facts by whole sentences [Crane]
26. Natural Theory / C. Causation / 4. Naturalised causation
A cause has its effects in virtue of its properties [Crane]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
The regularity theory explains a causal event by other items than the two that are involved [Crane]