Combining Texts

All the ideas for 'The Psychophysical Nexus', 'Foundations of Geometry' and 'On the Concept of Character'

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


9 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Pure supervenience explains nothing, and is a sign of something fundamental we don't know [Nagel]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We see our character as a restricting limit, but also as an unshakable support [Weil]
The concept of character is at the centre of morality [Weil]
We don't see character in a single moment, but only over a period of time [Weil]
We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil]