Combining Philosophers

All the ideas for Paul Bernays, Oscar Wilde and Augustus De Morgan

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9 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
De Morgan started the study of relations and their properties [De Morgan, by Walicki]
De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
All art is quite useless [Wilde]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Books are only well or badly written, not moral or immoral [Wilde]
Having ethical sympathies is a bad mannerism of style in an artist [Wilde]