Combining Philosophers
Ideas for Anaxarchus, Kurt Gdel and Robin Waterfield
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043
|
Mathematical objects are as essential as physical objects are for perception [Gödel]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271
|
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
|
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
9548
|
A mathematical object exists if there is no contradiction in its definition [Waterfield]
|
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045
|
Impredicative definitions are admitted into ordinary mathematics [Gödel]
|
8747
|
Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro]
|