Earlier quoted context omitted.
You think it's possible for a bucket to contain a negative amount of water? I should note that the product of zero and infinity being an indeterminate form is actually a result about the product of an infinitesimal (of small but indefinite magnitude) and an infinite value. If when you say "zero", you actually mean "zero", there is no ambiguity: zero is more infinitesimal than any infinite value is infinite, and the p…
Zero times any number is zero, but infinity is not a number. In order for multiplication to be valid, your elements must share a field.
You might want to think about why two times infinity is not an indeterminate form.