yuku@
yuku
: 2018-04-06 12:40:33 UTC+0000
The point is you don’t start with definitions, you start with problems. Nobody ever had an
idea of a number being “irrational” until Pythagoras attempted to measure the diagonal
of a square and discovered that it could not be represented as a fraction.
Definitions make sense when a point is reached in your argument which makes the
distinction necessary. To make definitions without motivation is more likely to cause confusion.