Counting grains of sand

Recently I have found online translations of several poems by Norwegian poet Rolf Jacobsen (1907-1994).  His poem "Sand" reminded me of a recent conversation with a friend about the word "infinite."  This friend said that he would use "all the grains of sand on the earth" as an example of an infinite collection.  Though I disagreed, I also have found it is not at all uncommon for people to use "infinite" -- as my friend did -- as if it means "larger than I could possibly count."  In Jacobsen's poem, the number of grains of sand is finite but also unbounded.   Do you agree?