Combining Texts

All the ideas for 'Foundations of Geometry', 'Some Main Problems of Philosophy' and 'Identity in Substances and True Propositions'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

17992

The main aim of philosophy is to describe the whole Universe. [Moore,GE]

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]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

19405

Substances are in harmony, because they each express the one reality in themselves [Leibniz]