Combining Philosophers

Ideas for Plato, Oliver,A/Smiley,T and Alex Orenstein

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6 ideas

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

8726	Geometry can lead the mind upwards to truth and philosophy [Plato]

9867	It is absurd to define a circle, but not be able to recognise a real one [Plato]

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

8454	The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

13155

If you add one to one, which one becomes two, or do they both become two? [Plato]

9865	Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]

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]