Combining Texts
Ideas for
'fragments/reports', 'The Tarskian Turn' and 'works'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15364
|
English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
18247
|
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
|
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
15360
|
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
|
15369
|
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]
|
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
15370
|
Predicativism says mathematical definitions must not include the thing being defined [Horsten]
|