Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Intro to the Philosophy of Time' and 'Axiomatic Thought'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
|
17967
|
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
|
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
|
17965
|
The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
|
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
|
17964
|
Number theory just needs calculation laws and rules for integers [Hilbert]
|
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]
|