Combining Texts

All the ideas for 'fragments/reports', 'Nietzsche: a philosophical biography' and 'On the Nature of Mathematical Reasoning'

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3 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
Hegel, Fichte and Schelling wanted to know Kant's thing-in-itself, as ego, or nature, or spirit [Safranski]
     Full Idea: The 'thing in iself' acted on Kant's successors like a hole in the closed world of knowledge...Hegel, Fichte and Schelling wanted to penetrate into what they presumed to be the heart of things, by the invention of means of 'ego', or 'nature', or 'spirit.,
     From: Rüdiger Safranski (Nietzsche: a philosophical biography [2000], 07)
     A reaction: [a bit compressed] Although no scientist claims to know the ultimate essence of matter, the authority of science largely comes from persuasively moving us several steps closer to the thing in itself (more persuasively than these three).
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
     Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects.
     From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite
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?