Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'What are Sets and What are they For?' and 'Logical Consequence'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
4 ideas
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
18760
|
The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
|
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 / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247
|
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
|