Here we approach one of the deeper questions I have about how SU works, beyond user technique.
Namely how does SU handle irrational numbers?
We use the rectangle tool to draw GM rectangles. We trust that these are inference points we can use, yet these are imaginary numbers.
Arcs and circles are also objects we draw. Yet these are also imaginary numbers, which we do not trust?
Are these contradictory statements to the logic of SU. Or is this still a lack of user technique?
Thanks for helping my define this question.
In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals. As a consequence of Cantor’s proof that the real numbers are uncountable and the rationals countable, it follows that almost all real numbers are irrational.
When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable, meaning they share no measure in common.
Numbers which are irrational include the ratio π of a circle’s circumference to its diameter, Euler’s number e, the golden ratio φ, and the square root of two; in fact all square roots of natural numbers, other than of perfect squares, are irrational.