Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'On the Infinite' and 'Upon Nothing: Swansea lecture'

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16 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Two marxist ideas have dominated in France: base and superstructure, and ideology [Scruton]
1. Philosophy / H. Continental Philosophy / 6. Deconstruction
On the surface of deconstructive writing, technicalities float and then drift away [Scruton]
Deconstruction is the last spasm of romanticism, now become hopeless and destructive [Scruton]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
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]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The benefits of social freedom outweigh the loneliness, doubt and alienation it brings [Scruton]
24. Political Theory / D. Ideologies / 3. Conservatism
So-called 'liberation' is the enemy of freedom, destroying the very structures that are needed [Scruton]