Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Mathematics, Science and Language' and 'The Language of Morals'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119
|
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
18118
|
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890
|
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
|
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887
|
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
|
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891
|
Arithmetical undecidability is always settled at the next stage up [Koellner]
|