Combining Philosophers

Ideas for Alvin I. Goldman, Micklethwait,J/Wooldridge,A and Tyler Burge

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5 ideas

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

16901

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

9159	You can't simply convert geometry into algebra, as some spatial content is lost [Burge]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

4045	Children may have three innate principles which enable them to learn to count [Goldman]

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 / 4. Mathematical Empiricism / a. Mathematical empiricism

4044	Rat behaviour reveals a considerable ability to count [Goldman]