Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Leon Horsten and Ashvaghosha
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
6 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 / B. Foundations for Mathematics / 2. Proof in Mathematics
10885
|
Computer proofs don't provide explanations [Horsten]
|
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881
|
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
|
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]
|