Combining Texts
Ideas for
'fragments/reports', 'Difficulties of Transfinite Numbers and Types' and 'Review of Chihara 'Struct. Accnt of Maths''
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
8 ideas
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185
|
Set theory is the standard background for modern mathematics [Burgess]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184
|
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
|
10189
|
There is no one relation for the real number 2, as relations differ in different models [Burgess]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186
|
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
|
10187
|
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
|
10188
|
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
|
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21559
|
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
|
21558
|
'Predicative' norms are those which define a class [Russell]
|