Combining Texts

All the ideas for 'fragments/reports', 'Introduction to German Philosophy' and 'On Platonism in Mathematics'

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


8 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie]
     Full Idea: The early German Romantics argued that art pointed to a more all-inclusive conception of reason, which can offer ways of articulating what is not conceptually accessible.
     From: Andrew Bowie (Introduction to German Philosophy [2003], 5 'Reason')
     A reaction: [This is Novalis, F.Schlegel, Schleiermacher, and Hölderlin] I'm in favour of expanding reason, to include assessment of situations and coherence, rather than just stepwise reasoning. Not sure that art 'articulates' something new.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
     Full Idea: Very few things in set theory remain valid in intuitionist mathematics.
     From: Paul Bernays (On Platonism in Mathematics [1934])
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
     Full Idea: A restricted Platonism does not claim to be more than, so to speak, an ideal projection of a domain of thought.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.261)
     A reaction: I have always found Platonism to be congenial when it talks of 'ideals', and ridiculous when it talks of a special form of 'existence'. Ideals only 'exist' because we idealise things. I may declare myself, after all, to be a Restricted Platonist.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
     Full Idea: Mathematical abstraction does not have a lesser degree than logical abstraction, but rather another direction.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.268)
     A reaction: His point is that the logicists seem to think that if you increasingly abstract from mathematics, you end up with pure logic.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
German Idealism says our thinking and nature have the same rational structure [Bowie]
     Full Idea: German Idealism aims to demonstrate that our thinking relates to a nature which is intelligibly structured in the same way as our thinking is structured.
     From: Andrew Bowie (Introduction to German Philosophy [2003], 3 'Limits')
     A reaction: Now that's an idealism I might buy into. Frege thought his logic was mapping rational reality. My angle is that we are a product of this 'reality', so we should expect our thinking to be similarly structured. Reason is derived from nature.
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Nazis think race predetermines the self [Bowie]
     Full Idea: The Nazi idea is that the self is predetermined primarily by its race.
     From: Andrew Bowie (Introduction to German Philosophy [2003], Intro)
     A reaction: I suspect that I occasionally encounter this view, in very patriotic people. But then you meet people who feeling that their self is mainly determined by support of a football team. Note, though, 'pre-'determined. Hegel makes this idea possible?
19. Language / F. Communication / 1. Rhetoric
Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie]
     Full Idea: The attempt to rid philosophy of rhetoric falls prey precisely to that fact that what is involved in rhetoric is inherent in what is built into all natural languages by their genesis in the real historical world.
     From: Andrew Bowie (Introduction to German Philosophy [2003], 2 'Hamann')
     A reaction: Rhetoric can range from charming to bullying, and it is the latter which is the problem. The underlying issue is dogma versus dialectic. Some analytic philosophers have a good shot at being non-rhetorical.
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?