Combining Texts

All the ideas for 'Foundations of Geometry', 'Magna Carta' and 'Folk Psychology'

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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]
18. Thought / A. Modes of Thought / 4. Folk Psychology
If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM]
Many mental phenomena are totally unexplained by folk psychology [Churchland,PM]
Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM]
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
Magna Carta forbids prison without trial, and insists on neutral and correct process [-, by Charvet]