Combining Texts

All the ideas for 'On the Infinite', 'The Philosophy of Leibniz' and 'Intro to 'Philosophical Essays''

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13 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy

9786	Philosophers working like teams of scientists is absurd, yet isolation is hard [Cartwright,R]

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis

7529	All philosophy should begin with an analysis of propositions [Russell]

2. Reason / A. Nature of Reason / 6. Coherence

9784	A false proposition isn't truer because it is part of a coherent system [Cartwright,R]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

12456

I aim to establish certainty for mathematical methods [Hilbert]

12461

We believe all mathematical problems are solvable [Hilbert]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

9633	No one shall drive us out of the paradise the Cantor has created for us [Hilbert]

12460

We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]

12462

Only the finite can bring certainty to the infinite [Hilbert]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

12455

The idea of an infinite totality is an illusion [Hilbert]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

12457

There is no continuum in reality to realise the infinitely small [Hilbert]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

12459

The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]

6. Mathematics / C. Sources of Mathematics / 8. Finitism

18112

Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9636	My theory aims at the certitude of mathematical methods [Hilbert]