Combining Philosophers

Ideas for Peter Geach, Nicholas Hill and Jos A. Benardete

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5 ideas

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

3332	Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

3330	Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]

3337	Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

12154

Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

10735

Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach]