Combining Texts

All the ideas for 'The Sign of Four', 'A Specimen of Discoveries' and 'On the Infinite'

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14 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
The two basics of reasoning are contradiction and sufficient reason [Leibniz]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
14. Science / C. Induction / 1. Induction
If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Assume that mind and body follow their own laws, but God has harmonised them [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
God doesn't decide that Adam will sin, but that sinful Adam's existence is to be preferred [Leibniz]