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Ideas for 'Frege on Apriority (with ps)', 'works' and 'Against the Physicists (two books)'

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4 ideas

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

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

8466	For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]

8467	Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]