Equal Thirds of One

Dixe. The repeating decimal is a side effect of the integer ten, the base for the decimal system, not being equally divisible into 3 equal integers. It is a side effect of the number system utilized. It does not mean that things cannot be divided into three equal parts, in reality.
 
AssHatZombie said:
Dixe. The repeating decimal is a side effect of the integer ten, the base for the decimal system, not being equally divisible into 3 equal integers. It is a side effect of the number system utilized. It does not mean that things cannot be divided into three equal parts, in reality.
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I understand that, and I have never argued otherwise. This is the reason I keep refuting the counter-arguments regarding other base number systems. We can divide things into thirds, we do it everyday! We can even divide into perceived equal thirds in base 10, we just assume the remainder. We have to assume it because we can't resolve it, as you just said. There is nothing real complicated about this, I am not making some bizarre outrageous claim, it is just a fact of the matter regarding 1/3 in base 10.


Fractional representations are not numeric values, they are division problems, which can be applied to values. You can add three 1/3's together and get 1, but you have added three division problems, all of which assume the remainder.
 
Dixie said:
I understand that, and I have never argued otherwise. This is the reason I keep refuting the counter-arguments regarding other base number systems. We can divide things into thirds, we do it everyday! We can even divide into perceived equal thirds in base 10, we just assume the remainder. We have to assume it because we can't resolve it, as you just said. There is nothing real complicated about this, I am not making some bizarre outrageous claim, it is just a fact of the matter regarding 1/3 in base 10.


Fractional representations are not numeric values, they are division problems, which can be applied to values. You can add three 1/3's together and get 1, but you have added three division problems, all of which assume the remainder.
Click to expand...

no. With fractions there is no assumed remainder.
 
Dixie said:
I understand that, and I have never argued otherwise. This is the reason I keep refuting the counter-arguments regarding other base number systems. We can divide things into thirds, we do it everyday! We can even divide into perceived equal thirds in base 10, we just assume the remainder. We have to assume it because we can't resolve it, as you just said. There is nothing real complicated about this, I am not making some bizarre outrageous claim, it is just a fact of the matter regarding 1/3 in base 10.


Fractional representations are not numeric values, they are division problems, which can be applied to values. You can add three 1/3's together and get 1, but you have added three division problems, all of which assume the remainder.
Click to expand...
:FootMouth:
 
Abbott: "Didn't you go to school stupid?"
Costello: "Yeah, and I came out the same way."
 
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