Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'On the Concept of Number' and 'Parmenides'
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 / 1. Mathematical Platonism / a. For mathematical platonism
16150
|
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
|
6. Mathematics / C. Sources of Mathematics / 7. Formalism
22293
|
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
|