Combining Texts

All the ideas for 'Abortion and the Doctrine of Double Effect', 'Proof of an External World' and 'On the Infinite'

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17 ideas

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]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
A 'double effect' is a foreseen but not desired side-effect, which may be forgivable [Foot]
The doctrine of double effect can excuse an outcome because it wasn't directly intended [Foot]
Double effect says foreseeing you will kill someone is not the same as intending it [Foot]
Without double effect, bad men can make us do evil by threatening something worse [Foot]
Double effect seems to rely on a distinction between what we do and what we allow [Foot]
25. Social Practice / F. Life Issues / 3. Abortion
Abortion is puzzling because we do and don't want the unborn child to have rights [Foot]