Combining Texts

Ideas for 'Material Beings', 'Sets, Aggregates and Numbers' and 'De Corpore (Elements, First Section)'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17258

If we just say one, one, one, one, we don't know where we have got to [Hobbes]

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]