[dhosek]

One could make the argument that the only numbers that actually “exist” are the natural numbers, but the question ultimately is can you model any real number in the physical universe. Modeling ½ is simply a question of picking a unit to be 1 and finding its midpoint (or for that matter, declaring two apples to be “1” and thus a single apple would be “½”, although it’s a bit of a challenge to use apples to model (2-√3)/5

[Dylan16807]

Make a line of 10 apples and declare it to be 2 units long, then make a square that's 15 applies diagonal, finally measure how much longer the 10 apples are than the side of the square.

It's a pretty linear increase in complexity between the math and the apples.

[testaccount28]

in what way does drawing a diagram have anything to do with physically realizing a number?

[Dylan16807]

I didn't say a diagram? I'm talking primarily about physical objects.

And I'm just explaining how to use the same methods as the comment I replied to.

[testaccount28]

"Make a line of 10 apples and declare it to be 2 units long" <- what number does this physically realize?

[Dylan16807]

Both ten and two. And it lets you model fifths.

But don't ask me about that. That part wasn't my idea at all. Ask dhosek about that way to do fractions. My contribution was the square root and the subtraction.