Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Critique of Judgement II: Teleological' and 'Foundations of Geometry'

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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]
19. Language / A. Nature of Meaning / 1. Meaning
The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
What is contemplated must have a higher value than contemplation [Kant, by Korsgaard]
Only a good will can give man's being, and hence the world, a final purpose [Kant]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The Critique of Judgement aims for a principle that unities humanity and nature [Kant, by Bowie]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Without men creation would be in vain, and without final purpose [Kant]