Re:How the Square Root of 2 Became a Number
by crdrost on Friday June 21, 2024 @01:34PM
(#40751820)
The basis for this statement holds, but what the statement implies does not.
That is, the numbers are a subset of the rationals, but it does not follow that we can't describe a rational with a number. In fact the rationals between [0, 1) have a well known numbering,
where one increments the denominator and then goes through all numerators but keeps only numerators which have GCD 1 with the denominator (since if they share a factor they were already listed).
That is, the numbers are a subset of the rationals, but it does not follow that we can't describe a rational with a number. In fact the rationals between [0, 1) have a well known numbering,
where one increments the denominator and then goes through all numerators but keeps only numerators which have GCD 1 with the denominator (since if they share a factor they were already listed).