Combining Texts

All the ideas for 'Heidegger: an introduction', 'Foundations of Geometry' and 'The Poverty of Philosophy'

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7 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
15575 Knowledge is not a static set of correct propositions, but a continuing search for better interpretations [Polt]
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]
10. Modality / B. Possibility / 1. Possibility
15568 When we consider possibilities, there must be something we are considering [Polt]
24. Political Theory / D. Ideologies / 11. Capitalism
21994 The handmill gives feudalism, the steam mill capitalism [Marx]