# Dividing 1 by three proves math is not a universal language

collinsmark
Homework Helper
Gold Member
Why do I believe this? Because 1 divided 3 is an human created impossible description of a possible reality. Here is an example. If you take three lines, each measuring 2 feet exactly and combine them into one line, you get a single line measuring 6 feet.

If 6 feet equals 1 Unit, then the result of 1 Unit divided by 3 is an impossible mathmatical description of the actual length because we know for a fact that that single line divided by 3 WILL equal three lines of exact measure.

In one context, the lines are equal and in another they are not. This is a mathmatical paradox and proves that math is actually relative to human perception and perspective.

I don't see any paradox at all. And this is even without having to express an infinite number of numerals in the decimal precision (i.e., 0.333...) or expressing values as fractions (i.e., 1/3).

1(base 10) is 1(base 3).
2(base 10) is 2(base 3).
3(base 10) is 10(base 3).
6(base 10) is 20(base 3).

So we have three lines, each 2(base 3) feet long.

We add three of them together:
2(base 3) + 2(base 3) + 2(base 3) [feet] = (2(base 3) [feet])(10(base 3)) = 20(base 3) [feet].

Let's call that one Unit.
1 Unit = 20(base 3) feet.

Now let's divide that by three (decimal), [recalling 3(base 10) is 10(base 3)].

1(base 3) Unit / 10(base 3) = 0.1 (base 3) Units each.

(And by the way, 0.1(base 3) = (1/3)(base 10).)

Converting to feet, each of the three lines has length
(0.1(base 3) Unit)(20(base 3) feet/Unit) = 2(base 3) feet

No paradox there.

Last edited:
What a lot of people without a mathematical education do not realise is that: 0.99999999 etc recurring is EQUAL to 1.

I think this where the OP is coming from, unless I am mistaken. "Maths is nonsense because 1/3x3 is not 1" is quite common urban legend. If it is not true that 0.9999 recurring is equal to 1 then there may indeed be a problem. However since it is, there is none.

The fact that this thread wasn't locked yet proves that the universe exploded into nothingness and nothing exists anymore.

Evo
Mentor
Thread closed, it's causing too much confusion.