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Ideas for 'fragments/reports', 'Theory of Science (Wissenschaftslehre, 4 vols)' and 'The Thesis that Mathematics is Logic'

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6. Mathematics / A. Nature of Mathematics / 2. Geometry

9618	Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
	Full Idea: Bolzano if the father of 'arithmetization', which sought to found all of analysis on the concepts of arithmetic and to eliminate geometrical notions entirely (with logicism taking it a step further, by reducing arithmetic to logic).
	From: report of Bernard Bolzano (Theory of Science (Wissenschaftslehre, 4 vols) [1837]) by James Robert Brown - Philosophy of Mathematics Ch. 3
	A reaction: Brown's book is a defence of geometrical diagrams against Bolzano's approach. Bolzano sounds like the modern heir of Pythagoras, if he thinks that space is essentially numerical.