I think 'Infinity' is a purely mathematical concept; one that people can only tangentially grasp through the use of limits, i.e. "

**As I approach** a distance of infinity.."

Despite physics being the field right after pure mathematics that uses it the most, I don't think Infinity makes any sense in the physical world. It's mostly used in the following way: The gravitational effect of the Sun approaches 0 as the distance between the point of measurement and it approaches infinity. So in theory if we travelled to roughly the centre of the Milky Way, Andromeda or anywhere else the Universe, and we measured the total gravitational effect, our Sun would theoretically contribute to that quantity. But depending on the distance its contribution would be very, very close to zero - so close we could say

**it is** zero. It isn't from a purely theoretical perspective, but it is from a practical one. It's an assumption that is made in the process of applying the theoretical model to reality; for example, if R >> R_0 (if R is much, much larger than R_0), then F = 0 (assume that F = 0). This illustrates the only role I remember having seen Infinity take on in physics: One of being used to discover the theoretical nature and failing points of various models. That, and being added to the premise of a model in a dubious manner as something of an "afterthought" or "tweak" to make a theory spit out accurate results - like the dimensions in String Theory - but then it becomes very esoteric/abstract.

My experience and knowledge are quite limited, though, so I think input from @

ygolo could be valuable in this discussion.