Combining Texts

All the ideas for 'works (fragments)', 'Reportatio' and 'Foundations of Geometry'

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7 ideas

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]

28. God / A. Divine Nature / 3. Divine Perfections

9111	God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]

28. God / C. Attitudes to God / 3. Deism

1558	Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]

28. God / C. Attitudes to God / 4. God Reflects Humanity

9112	We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]