Combining Texts
Ideas for
'Defending the Axioms', 'The Iliad' and 'On the Infinite'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
8 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
12461
|
We believe all mathematical problems are solvable [Hilbert]
|
12456
|
I aim to establish certainty for mathematical methods [Hilbert]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
9633
|
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
|
12460
|
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
|
12462
|
Only the finite can bring certainty to the infinite [Hilbert]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
12455
|
The idea of an infinite totality is an illusion [Hilbert]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615
|
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
12457
|
There is no continuum in reality to realise the infinitely small [Hilbert]
|