Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Continuity and Irrational Numbers' and 'Languages of Art (2nd edn)'

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

11 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 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
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
7. Existence / A. Nature of Existence / 5. Reason for Existence
19400 Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
19401 God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
19402 The actual universe is the richest composite of what is possible [Leibniz]
21. Aesthetics / B. Nature of Art / 1. Defining Art
20440 Art is a referential activity, hence indefinable, but it has a set of symptoms [Goodman]
21. Aesthetics / B. Nature of Art / 5. Art as Language
20439 Artistic symbols are judged by the fruitfulness of their classifications [Goodman, by Giovannelli]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
20438 A performance is only an instance of a work if there is not a single error [Goodman]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
20437 A copy only becomes an 'instance' of an artwork if there is a system of notation [Goodman]