Also, one divided by infinity is zero in an extended number line.

Infinity plus any number besides negative infinity in the extended number line is always infinity. That seems pretty axiomatic, buddy. Infinity times a positive is infinity. Infinity times a negative is negative infinity. Are you suggesting that all numbers follow all rules of each other? That would be silly. There are always exceptions. Zero to the zeroth power, for example. Infinity is related to zero in a lot of ways.

As for your saying that there are no ways to apply infinity to equal zero, that's also not strictly true. We can absolutely converge certain infinitely scaling functions to 0, even in real numbers or integers. You can even subtract infinities to get 0.

Infinity does not always represent a concept. It only represents a concept in real numbers because it's not a real number. But neither is the square root of negative one. Unless you would like to show me 2_i_ of something. But 2_i_ is undoubtably a number.

It's not clever, you're just wrong. I feel like you can't accept that.