Jon writes:
1 = 3/3 = 1/3 + 2/3 = 0.3333| + 0.6666| = 0.9999| ≠ 1
I don't understand this.
You went logically along until the very end. I don't (logically) see any reason why you put a "≠" in instead of a "=" at the end. What would make you do so?
Is it just because "0.9999|" isn't written using the same symbol as "1"?
The minor proof you used here logically shows that we have two different symbols "0.9999|" and "1" and that they are both exactly equal to each other.
Unless you also disagree that 1/3 = 0.3333|?
But... if you disagree with that, why would you use it within your own proof? That doesn't make any logical sense either.
What if we don't use the symbol "0.9999|"? What if I replace that with the symbol "#"?
Then your proof reads (without the final step):
1 = 3/3 = 1/3 + 2/3 = 0.3333| + 0.6666| = #
So, with equal signs all the way through... wouldn't you logically agree that the symbol "#" = the symbol "1"?
Where is your disconnect?
I am strongly starting to think that you do not agree that 1/3 = 0.3333|
If that's so, you should not use such symbology as valid within your own explanations... it will only add confusion. It's very illogical as well.
™ Version 4.2
