I am wondering about a system with division defined for non-numbers. From what I have encountered so far, it seems division is only applied to numbers. For example:
4 * 6 = 24
You can then take the resulting 24, and get back one of the original values, given that you provide half of the puzzle.
24 / 6 = 4
24 / 4 = 6
Division is essentially taking the top number and breaking it into chunks the size of the bottom number. It then tells you how many chunks we have. But that's the thing, it tells you how many, which is a number.
I am wondering if there's any way to conceive of division without using numbers. For example:
day / night = ?
person a / person b = ?
If I am dividing a person by another person, maybe that means I'm seeing how much that persons body size fits into the other person. But then that gives me a number again!
The thing is, you can easily add and subtract non-numbers. For example:
water + coloring = colored water
plate + food = a plate of food
block a + block b = stacked blocks
But with division, not only can I not think of an example that makes sense, in the case I can clunkily divide, it gives a number like:
person a / person b = ratio of body sizes
Wondering if there is any way to define division such that it works on non-numbers. Not even sure what you would call "divide" at this point, I haven't thought of any clear metaphor or anything for it.