Combining Texts

All the ideas for 'Foundations of Geometry', 'On Providence' and 'Aesthetics: problems in the philosophy of criticism'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

13472

Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

9546	Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]

18742

Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]

18217

Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]

21. Aesthetics / C. Artistic Issues / 6. Value of Art

20436

Art leads to mental health, and mental clarity [Beardsley,M, by Carroll,N]

22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness

13550

To be always happy is to lack knowledge of one half of nature [Seneca]

23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods

13549

Nothing bad can happen to a good man [Seneca]

27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces

13548

The ocean changes in volume in proportion to the attraction of the moon [Seneca]