Combining Texts

All the ideas for 'fragments/reports', 'The Foundations of Mathematics' and 'In Praise of Philosophy'

unexpand these ideas     |    start again     |     specify just one area for these texts


3 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophers are marked by a joint love of evidence and ambiguity [Merleau-Ponty]
     Full Idea: The philosopher is marked by the distinguishing trait that he possesses inseparably the taste for evidence and the feeling for ambiguity.
     From: Maurice Merleau-Ponty (In Praise of Philosophy [1953], p.4), quoted by Sarah Bakewell - At the Existentialist Café 11
     A reaction: I strongly approve of the idea that philosophers are primarily interested in evidence (rather than reason or logic), and I also like the idea that the ambiguous evidence is the most interesting. The mind looks physical and non-physical.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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
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?