Combining Texts

All the ideas for 'Community and Citizenship', 'Marx' and 'Foundations of Geometry'

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8 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]
24. Political Theory / B. Nature of a State / 4. Citizenship
Citizenship involves a group of mutually supporting rights, which create community and equality [Miller,D]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
In Marxism the state will be superseded [Singer]
24. Political Theory / D. Ideologies / 9. Communism
Materialist history says we are subject to incomprehensible forces [Singer]
24. Political Theory / D. Ideologies / 14. Nationalism
Socialists reject nationality as a false source of identity [Miller,D]