Combining Texts

All the ideas for 'Foundations of Geometry', 'Proof of an External World' and 'Wisdom'

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6 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

19695

The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]

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]

11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty

6349	I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]