Combining Texts

All the ideas for 'works', 'Sketch for a Theory of the Emotions' and 'Foundations of Geometry'

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11 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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness always transcends itself [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
An emotion and its object form a unity, so emotion is a mode of apprehension [Sartre]
Emotion is one of our modes of understanding our Being-in-the-World [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Emotions are a sort of bodily incantation which brings a magic to the world [Sartre]
Emotions makes us believe in and live in a new world [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
States have a monopoly of legitimate violence [Sartre, by Wolff,J]