Base 10: 1.0 / 10 = .10 so
.1 means .1 of 1.0
.2 means .2 of 1.0
.3 means .3 of 1.0
.4 means .4 of 1.0
.5 means .5 of 1.0
.6 means .6 of 1.0
.7 means .7 of 1.0
.8 means .8 of 1.0
.9 means .9 of 1.0
1.0 means 1.0 of 1.0
Base 9: 1.0 / 9 = .111… so
.1 means .111… of 1.0
.2 means .222… of 1.0
.3 means .333… of 1.0
.4 means .444… of 1.0
.5 means .555… of 1.0
.6 means .666… of 1.0
.7 means .777… of 1.0
.8 means .888… of 1.0
1.0 means .999…of 1.0
So to recap:
In base 9, .3 means .333… of 1.0, which means 3 of those parts equals .999… of 1.0
So in base 9, 1 divided by 3 is the same amount of pie as .333… is in base 10, which in both bases, 3 of those pieces are less than 100% of the pie.
Base 9 means 3 pieces of .3 equal 99.999…% of the pie, which is less than 100% of the pie!
So you can not cut a pie into 3 equal pieces, IN REALITY, IN ANY BASE!
Everyone good now?
In concept anything can be divided into 1/3 (not by 0.333…). Physical reality doesn’t allow anything physical to ever perfectly fit any concept model - regardless of base representation.
When Motor says you get 33.333…% - the error is merely in trying to use a base 10 (percentage) representation.
If you want to talk about it - you might use numbers - but that is only because you tried to talk about it in specific quantities - so you choose a base. If the base you chose to talk about the division doesn’t actually represent what the division really was - use a different base - a different language.
The item’s division doesn’t care how you try to describe it (unless you are a QM nutter).
Keeping in your alleged mind that math is a representation of reality, and not reality itself, it has already been shown to you that you can DESCRIBE the equal division of 1 pie into 3 equal pieces easily in Base 9.
So you don’t have any other number besides 0-9. Got it!
So you are saying that I take a knife, cut the pie, and claim they are equal? That how it works in your world? You cut a pie into pieces, don’t tell me how many pieces, don’t tell me the size of the pieces, but claim they are equal.
So no numbers in your world, just pies, knives, and BS!
I specifically said that it is impossible that they are equal in real life.
You can “cut” a pie in exact halves ONLY in concept. And you can only cut a pie in 3rds ONLY in concept. But the difference is that if in halves - you can talk about it in base 10. If in 3rds - you can’t exactly describe the cut - but that doesn’t change the cut - only your ability to talk about it.
I cut a pie with a knife. I am now communicating the details of the pieces using numbers. That ok with you? Do you have a better way to communicate the pieces without using numbers? Let’s here it!