Combining Texts

All the ideas for 'History of Ancient Art', 'The Will to Believe' and 'Grundlagen (Foundations of Theory of Manifolds)'

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


4 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Art aims only at beauty, of form, of idea, and (above all) of expression [Winckelmann, by Tolstoy]
23. Ethics / E. Utilitarianism / 4. Unfairness
Imagine millions made happy on condition that one person suffers endless lonely torture [James]