Combining Texts

All the ideas for 'The Beautiful in Music', 'Reflections on Knowledge, Truth and Ideas' and 'Elements of Intuitionism'

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7 ideas

2. Reason / D. Definition / 1. Definitions
19426 'Nominal' definitions just list distinguishing characteristics [Leibniz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
15938 Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
15939 For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19424 Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
18. Thought / C. Content / 2. Ideas
19427 True ideas represent what is possible; false ideas represent contradictions [Leibniz]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
20344 Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]
26. Natural Theory / C. Causation / 2. Types of cause
19425 In the schools the Four Causes are just lumped together in a very obscure way [Leibniz]