Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Empiricist View of Religion' and 'Foundations of Geometry'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the conceptual essence of the shape of history [Hegel]
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]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
If meaning is use, then religious sentences have meaning because they are used to assert an intention about how to live [Braithwaite, by PG]