Combining Texts

All the ideas for 'No Understanding without Explanation', 'Foundations of Geometry' and 'Henry V'

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8 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]

11. Knowledge Aims / A. Knowledge / 2. Understanding

14365

Scientific understanding is always the grasping of a correct explanation [Strevens]

14368

We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]

14369

Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]

25. Social Practice / E. Policies / 1. War / b. Justice in war

23565

Our obedience to the king erases any crimes we commit for him [Shakespeare]