Combining Texts
Ideas for
'Commentary on 'De Anima'', 'Guidebook to Wittgenstein's Tractatus' and 'Mathematics without Numbers'
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 / 4. Using Numbers / c. Counting procedure
23451
|
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
|
23460
|
To count, we must distinguish things, and have a series with successors in it [Morris,M]
|
23452
|
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698
|
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
|
9557
|
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
|
10263
|
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
|