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When we think of numbers between 0 and 1 we aren't thinking of Real numbers.

Name a transcendental number between 0 and 1. Which one springs to mind? Maybe, if you're lucky you can come up with some famous transcendental number and "scale" it to lie within the interval (pi over ten!).

The numbers we live with are a finite dimensional vector field over a bounded subset of algebraics - not even countable.



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