Combining Texts
Ideas for
'Defending the Axioms', 'works' and 'Against the Professors (six books)'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
6 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615
|
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
3331
|
If '5' is the set of all sets with five members, that may be circular, and you can know a priori if the set has content [Benardete,JA on Frege]
|
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618
|
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614
|
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
|
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
16880
|
Frege aimed to discover the logical foundations which justify arithmetical judgements [Frege, by Burge]
|
8689
|
Eventually Frege tried to found arithmetic in geometry instead of in logic [Frege, by Friend]
|