What’s stopping mathematicians from defining a number for 1 ÷ 0, like what they did with √-1?

Question

What’s stopping mathematicians from defining a number for 1 ÷ 0, like what they did with √-1?

In: Mathematics

Answer 1

At least one programming language I used defined it as the largest number the computer could handle. This makes sense as if you graph out y=1/x, you can clearly see it goes towards infinity