Combining Texts

All the ideas for 'Facts and Propositions', 'Philosophy and Politics' and 'On the Infinite'

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16 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
"It is true that x" means no more than x [Ramsey]
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]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Sentence meaning is given by the actions to which it would lead [Ramsey]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Democratic institutions become impossible in a fanatical democracy [Russell]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell]
Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell]
Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell]