Combining Texts

All the ideas for 'On Motion', 'Logological Fragments II' and 'Philosophy of Mathematics'

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10 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
19588 The highest aim of philosophy is to combine all philosophies into a unity [Novalis]
19598 Philosophy relies on our whole system of learning, and can thus never be complete [Novalis]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
19586 Philosophers feed on problems, hoping they are digestible, and spiced with paradox [Novalis]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
19587 Philosophy aims to produce a priori an absolute and artistic world system [Novalis]
2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
19597 Logic (the theory of relations) should be applied to mathematics [Novalis]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
12709 Motion is not absolute, but consists in relation [Leibniz]