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All the ideas for 'Frege's Theory of Numbers', 'works' and 'works'

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8 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Irony is consciousness of abundant chaos [Schlegel,F]
     Full Idea: Irony is the clear conscousness of eternal agility, of an infinitely abundant chaos.
     From: Friedrich Schlegel (works [1798], Vol 2 p.263), quoted by Ernst Behler - Early German Romanticism p.81
     A reaction: [1800, in Athenaum] The interest here is irony as a reaction to chaos, which has made systematic thought impossible. Do romantics necessarily see reality as beyond our grasp, even if not chaotic? This must be situational, not verbal irony.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F]
     Full Idea: Plato had no system, but only a philosophy. The philosophy of a human being is the history, the becoming, the progression of his mind, the gradual formation and development of his thoughts.
     From: Friedrich Schlegel (works [1798], Vol.11 p.118), quoted by Ernst Behler - Early German Romanticism
     A reaction: [1804] Looks like the first sign of rebellion against the idea of having a 'system' in philosophy, making it a key idea of romanticism. Systems are classical? This looks like an early opposition of a historical dimension to static systems. Big idea.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra]
     Full Idea: Lesniewski distinguished the part-whole relationship from class membership. Membership is not transitive: if s is an element of t, and t of u, then s is not an element of u, whereas a part of a part is a part of the whole.
     From: report of Stanislaw Lesniewski (works [1916]) by George / Van Evra - The Rise of Modern Logic 7
     A reaction: If I am a member of a sports club, and my club is a member of the league, I am not thereby a member of the league (so clubs are classes, not wholes). This distinction is clearly fairly crucial in ontology.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Poetry is transcendental when it connects the ideal to the real [Schlegel,F]
     Full Idea: There is a kind of poetry whose essence lies in the relation between the ideal and the real, and which therefore, by analogy with philosophical jargon, should be called transcendental poetry.
     From: Friedrich Schlegel (works [1798], Vol 2 p.204), quoted by Ernst Behler - Early German Romanticism p.78
     A reaction: I think the basic idea is that the imaginative creation of poetry has the power to bridge the gap between the transcendental (presupposed) ideal in Fichte, and nature (which Fichte seems to have excluded from his system).
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
For poets free choice is supreme [Schlegel,F]
     Full Idea: Romantic poetry recognises as its first commandment that the free choice [Wilkür] of the poet can tolerate no law above itself.
     From: Friedrich Schlegel (works [1798], Frag 116 p.32), quoted by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: This leads to Shelley's 'poets are the unacknowledged legislators of the race'. We should also take it as a response to Kant's categorical imperative, which leads to the Gauguin Problem (wickedness justified by the art it leads to).
22. Metaethics / B. Value / 2. Values / g. Love
True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F]
     Full Idea: True irony is the irony of love. It arises from the feeling of finitude and one's own limitation, and the apparent contradiction of these feelings with the concept of infinity inherent in all true love.
     From: Friedrich Schlegel (works [1798], Vol.10 p.357), quoted by Ernst Behler - Early German Romanticism
     A reaction: [c.1827] This is more about idealist philosophy and its yearning for the Absolute than it is about the actual nature of love. Love is the door to the Absolute. The irony is our inability to pass through it.
23. Ethics / F. Existentialism / 3. Angst
Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard]
     Full Idea: Irony is thus the appropriate stance to feeling that is both inescapably committed and inescapably detached at the same time.
     From: report of Friedrich Schlegel (works [1798]) by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: This is the epitome of romanticism, which carries over into the dilemmas of existentialism. Striking the right balance between caring and not caring seems to me to be the main focus of modern British people.