What do you call it when the starting number is 1? The way some people count “age 1” upon birth? Different cultural thoughts about math. Ethnomathematics.
How can zero be a number if it doesn’t exist? What is this thing of existence representing what is not in existence at all? By giving a name to what doesn’t exist, do we then make it exist is some way?
If zero represents nothing, how can it exist? Is it something that exists in and of itself, this nothingness? Zero is deceptive. It sure looks like a whole number, being all roundish and ovular wholesome, but in truth there is a sneaking black hole right through the middle of it. Is zero something that exists? The symbol 0 exists, but if it represents nothing, is that a something? How can a “nothing” have such a strong effect? Does nature abhor a zero? For being an ostensible nothing-at-all, Zero sure does cause a lot of trouble when you try to divide something by it.
“Any number divided by zero is undefined,” they say. If Johnny has 5 apples and he divides them by nothing at all, but instead keeps them united, (indivisible apples, undivided) then wouldn’t the result be, well, no different than what he started out with? Dividing by nothing should be the same as not dividing at all. Or perhaps Johny would have 1, meaning 1 group of apples, because they are undivided, because you can only divide something by a number other than 1, so diving by 0 would be, in fact, un-dividing. Johnny still has 5 undivided apples, or 1 group of them. That’s reality. Sounds pretty well-defined.
So to come along and say “it can’t be done! Meaningless! Undefined!” makes me think that zero is a hidden something after all, a renegade, just like pi, lurking in the middle portal to infinity. Expansively consuming the magic void between a 1 and a -1. It’s up to something, hiding out in the land between One and One’s Mirror (-1).
Difference is a word that you get when you subtract numbers from each other. Are we so different because something has been subtracted from us?
Are negative numbers a way to assign debt to nature where there really is none? Does the concept of a negative balance exist in the beautiful life-world? If integers to the left of zero on the number line are always in debt, does this make then feel negative?
Do early-learned “tricks” in math make it harder to visualize true math as students mature?
How much math goes into the making of paper? How much math goes into determining bias against children with un-mathematical gifts? Is math in our brains when we see the sunrise? What about beautiful words? How many maths? How many moments of beauty?
Where is math in the human mind?