Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Remarks on the definition and nature of mathematics' and 'Summula philosophiae naturalis'
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 / 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]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17806
|
It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
|
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17808
|
Saying mathematics is logic is merely replacing one undefined term by another [Curry]
|