>>11560830Imagine humans had 6 fingers in both hands and we invented units and numbers in base 6. As in 6 mm = 1 cm and so on.
So you have numbers 0,1,2,3,4,5,6,10,11,12,13,14,15,16,20,etc
7,8 and 9 do not exist, 1 = 7 smaller units and 7 is written 10 by convention just liké 10 is written 10 in our system.
Then 0,111...X6 = 0,666...=1 ? Because you can't add any number to 0,666... anywhere before reaching one.
But you do realize that a 1/7 ratio is greater than a 1/10 ratio ?
So a 0,666... in base 7 would have a greater difference from 1 than 0,999... in base 10 has from 1.
Therefore your concept is gay and the product of limitations by our current system, in fact inherent to any base system. The faster you realize this the faster you comprehend the true nature of numbers (philosophicaly) and why any representation in 0,xxx... form is a systemic limitation and we'd be better of sticking to using the ratio 1/9 etc instead. As for 0,999..., it does not exist.
