Combining Texts

Ideas for 'works', 'Frege Philosophy of Language (2nd ed)' and 'Sets, Aggregates and Numbers'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

4 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10554

Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett]

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]