The question, “is infinity knowable,” has plagued the brightest of philosophers for millennia.
Well, maybe not plagued so much as they’ve occasionally given it passing consideration, but only when the weather is too miserable to go out and enjoy themselves.
And the “brightest of philosophers” might be an exaggeration. Most of them are more along the lines of barbers with spare time on their hands, which is not to say there is anything wrong with barbers with spare time on their hands. Many of them are fine, upstanding individuals. And they give good haircuts.