Combining Texts

Ideas for 'Theory of Science (4 vols)', 'Letters' and 'Truth by Convention'

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5 ideas

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

9618	Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]

8994	If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

8997	There are four different possible conventional accounts of geometry [Quine]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

9830	Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8993	If mathematics follows from definitions, then it is conventional, and part of logic [Quine]