Combining Texts

All the ideas for 'An Ontology of Art', 'Three theses about dispositions' and 'Continuity and Irrational Numbers'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Dispositions are second-order properties, the property of having some property [Jackson/Pargetter/Prior, by Armstrong]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
If paintings could be perfectly duplicated, it would be a multiple art form [Currie, by Bacharach]