Combining Texts

All the ideas for 'Dialektik', 'Between Facts and Norms' and 'Foundations of Geometry'

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6 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 / E. Analyticity / 4. Analytic/Synthetic Critique
Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Actions norms are only valid if everyone possibly affected is involved in the discourse [Habermas]