Combining Texts

All the ideas for 'fragments/reports', 'The Idea of Equality' and 'The Foundations of Mathematics'

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6 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
18844 You would cripple mathematics if you denied Excluded Middle [Hilbert]
     Full Idea: Taking the principle of Excluded Middle away from the mathematician would be the same, say, as prohibiting the astronomer from using the telescope or the boxer from using his fists.
     From: David Hilbert (The Foundations of Mathematics [1927], p.476), quoted by Ian Rumfitt - The Boundary Stones of Thought 9.4
     A reaction: [p.476 in Van Heijenoort]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
3236 Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
     Full Idea: A highly rational, efficient and unmitigated application of the idea of equality of opportunity, while abandoning the idea of equality of respect as vague and nostalgic, would lead to a quite inhuman society.
     From: Bernard Williams (The Idea of Equality [1962], §3)
25. Social Practice / B. Equalities / 1. Grounds of equality
3234 Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
     Full Idea: Equality seems to require that each person is owed an effort at identification; they should not be seen as a surface to which a label can be applied, but one should try to see the world (including the label) from their point of view.
     From: Bernard Williams (The Idea of Equality [1962], §2)
3233 Equality implies that people are alike in potential as well as in needs [Williams,B]
     Full Idea: Supporters of equality have asserted that people are alike in certain things they could do or achieve, as well as in the things that they need and could suffer.
     From: Bernard Williams (The Idea of Equality [1962], §2)
25. Social Practice / B. Equalities / 4. Economic equality
3235 It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]
     Full Idea: It is a mark of extreme exploitation or degradation that those who suffer it do NOT see themselves differently from the way they are seen by the exploiters.
     From: Bernard Williams (The Idea of Equality [1962], §2)