Why is there no end to numbers?

Yes, there is no end to numbers. A term called infinity was invented so there would be no end.
Infinite is a word we use to describe anything that cannot be measured or counted. Is it an abstract term or is there some meaning to it has been the question on many minds. Can we count the number of sunsets from when the universe was made? The number of stars, galaxies etc.
In chess, losing your king means you lose the game. Does this make the king infinitely valuable relative to every other piece? No! If the king truly had infinite value, all positions featuring the living king would be equally good. (Remember, infinity plus any number is just infinity). The infinitely valuable king would make all of the pieces, in every possible position on the board, equal -- i.e., equally worthless.
Considering the king to be worth twice, or ten times, or one-hundred times the value of other pieces may work well. But numbers like two, ten, 100, and 1000 are nowhere close to infinity.By trying to describe the universe as we observe it, physics does not allow us to experience infinity. String theory may talk about infinity. In physics or engineering, infinity is the numerical answer that the machinery of theory spits out when something is impossible, irrelevant, or broken. An event that takes infinitely long to occur simply never happens. Something at an infinite distance is simply not there. Infinitely small means 0.
A more interesting question, perhaps, would be: "Is God infinite?" In this discussion, the abstraction of infinity might have real relevance. It would be useful and philosophically fascinating to consider.
In our material, measurable world, though, infinity is never a real, physical quantity; it is only an abstraction. A mathematician can tell you about an infinite set of numbers, but as much as he wishes, he can't find you a cup of coffee with infinite joe. That "bottomless" cup of coffee eventually runs dry.