Combining Texts
Ideas for
'works', 'Maths as a Science of Patterns' and 'Cours d'Analyse'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
9 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304
|
Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18085
|
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18084
|
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
6300
|
Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
|
6303
|
Sets are positions in patterns [Resnik]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6295
|
There are too many mathematical objects for them all to be mental or physical [Resnik]
|
6296
|
Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
|
6301
|
Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
|
6302
|
Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
|