Combining Texts

All the ideas for 'On the Infinite', 'Address to the Voters of Bristol' and 'On Body and Force, Against the Cartesians'

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16 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]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
To explain a house we must describe its use, as well as its parts [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Active force is not just potential for action, since it involves a real effort or striving [Leibniz]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Your representative owes you his judgement, and betrays you if he gives your opinion instead [Burke]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
God's laws would be meaningless without internal powers for following them [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
All qualities of bodies reduce to forces [Leibniz]
Power is passive force, which is mass, and active force, which is entelechy or form [Leibniz]