Combining Texts

All the ideas for 'Universal Arithmetick', 'Philosophical Grammar' and 'The Principles of Art'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics everything is algorithm and nothing is meaning [Wittgenstein]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Consider: "Imagine this butterfly exactly as it is, but ugly instead of beautiful" [Wittgenstein]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The emotion expressed is non-conscious, but feels oppressive until expression relieves it [Collingwood]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
Art exists ideally, purely as experiences in the mind of the perceiver [Collingwood, by Kemp]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Art clarifies the artist's mind and feelings, thus leading to self-knowledge [Collingwood, by Davies,S]