Combining Philosophers

Ideas for Luitzen E.J. Brouwer, Michael Morris and James Woodward

expand these ideas     |    start again     |     choose another area for these philosophers

display all the ideas for this combination of philosophers


7 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
To count, we must distinguish things, and have a series with successors in it [Morris,M]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]