Combining Texts

All the ideas for 'Critique of the Gotha Program', 'On the Infinite' and 'Intentionality and the Physical: reply to Mumford'

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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]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality is the mark of dispositions, not of the mental [Place]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
In moving from capitalism to communism a revolutionary dictatorship of the proletariat is needed [Marx]
24. Political Theory / D. Ideologies / 9. Communism
People who only have their labour power are the slaves of those permitting them to work [Marx]
Freedom is making the state subordinate to its society [Marx]
From each according to his ability, to each according to his need [Marx]
25. Social Practice / A. Freedoms / 2. Freedom of belief
Bourgeois 'freedom of conscience' just tolerates all sorts of religious intolerance [Marx]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Dispositions are not general laws, but laws of the natures of individual entities [Place]