This question is a bit tricky, as mountains can indirectly affect each other through factors like climate and tectonic activity. But, to give you a couple of examples:

* Mount Kilimanjaro (Tanzania) and Mount Denali (Alaska): These are two of the highest mountains in the world, but separated by thousands of miles and different tectonic plates. Their existence has no direct impact on each other.

* Any two mountains on different continents: Mountains formed through different geological processes on separate tectonic plates are essentially independent. They won't directly influence each other's formation or existence.

Let me know if you'd like to explore any of these examples further!