Combining Texts

Ideas for 'Frege philosophy of mathematics', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Certain Physical Essays'

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 / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]