Combining Philosophers

Ideas for Oliver,A/Smiley,T, Harr�,R./Madden,E.H. and A.C. Grayling

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3 ideas

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

15273

Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

15274

Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

14246

If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]