That is horribly false. There are different types of infinity, and infinity is not a number that you can manipulate as such. The sense in which we say that "infinity + infinity = infinity" is if we have two functions that grow without bound, and you sum both, you'll get a function that grows without bound. And the same goes for products.

That is horribly false. There are different types of infinity, and infinity is not a number that you can manipulate as such. The sense in which we say that "infinity + infinity = infinity" is if we have two functions that grow without bound, and you sum both, you'll get a function that grows without bound. And the same goes for products.