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Ideas for 'Mahaprajnaparamitashastra', 'The Analyst' and 'Foundations of Geometry'

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2 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
     Full Idea: One of Hilbert's aims in 'The Foundations of Geometry' was to eliminate number [as measure of lengths and angles] from geometry.
     From: report of David Hilbert (Foundations of Geometry [1899]) by William D. Hart - The Evolution of Logic 2
     A reaction: Presumably this would particularly have to include the elimination of ratios (rather than actual specific lengths).
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Infinitesimals are ghosts of departed quantities [Berkeley]
     Full Idea: The infinitesimals are the ghosts of departed quantities.
     From: George Berkeley (The Analyst [1734]), quoted by David Bostock - Philosophy of Mathematics 4.3
     A reaction: [A famous phrase, but as yet no context for it]