When there is discussion of infinite dilution what it usually means is taking a problem like the radiation leaks at Fukushima and diluting them in the ocean. This, however, is not infinite dilution. Here’s an image from the U.S. Geological Survey to illustrate.
That blue ball over North America represents all the water on the planet. It is a large, but finite quantity. If Fukushima was the only source of radioactive poo ever put in it, it would still be finite dilution.
Don’t use words too big for the subject. Don’t say “infinitely” when you mean “very”; otherwise you’ll have no word left when you want to talk about something really infinite.
–C. S. Lewis