Combining Texts

All the ideas for 'Space, Knowledge and Power (interview)', 'Beauty: a very short introduction' and 'On the Infinite'

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22 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
15045 The big issue since the eighteenth century has been: what is Reason? Its effect, limits and dangers? [Foucault]
2. Reason / A. Nature of Reason / 7. Status of Reason
18543 Do aesthetic reasons count as reasons, if they are rejectable without contradiction? [Scruton]
3. Truth / A. Truth Problems / 2. Defining Truth
18542 Defining truth presupposes that there can be a true definition [Scruton]
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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
18546 The pleasure taken in beauty also aims at understanding and valuing [Scruton]
18550 Art gives us imaginary worlds which we can view impartially [Scruton]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
18544 Maybe 'beauty' is too loaded, and we should talk of fittingness or harmony [Scruton]
18553 Beauty shows us what we should want in order to achieve human fulfilment [Scruton]
18556 Beauty is rationally founded, inviting meaning, comparison and self-reflection [Scruton]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
18548 Natural beauty reassures us that the world is where we belong [Scruton]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
18551 Croce says art makes inarticulate intuitions conscious; rival views say the audience is the main concern [Scruton]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
18541 Beauty (unlike truth and goodness) is questionable as an ultimate value [Scruton]
25. Social Practice / F. Life Issues / 5. Sexual Morality
18554 Prostitution is wrong because it hardens the soul, since soul and body are one [Scruton]