There is certainly at least one (1) unclimbable mountain
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I believe there are some unclimbable faces (like the east face of K2) of some mountains, but no peaks, as of yet, that are impossible at all. If they've done Anapurna I and K2, im not sure if there are any that are more challenging or deadly. i suppose theres also Machapuchare+
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Aren’t there way too many uninteresting mountains for this to be true?
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Even defining “a mountain” is non-trivial
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I’d guess Antarctica hasn’t been heavily climbed
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Technically they are underwater. Just water in the solid form.
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There are so many random mountains in the middle of Antarctica which are highly inaccessible and also not particularly interesting.
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The *tallest* mountain in Antarctica seems to have been climbed by only a couple thousand people at most—and that one gets a hugely outsized number of climbers from people trying to conquer the Seven Summits.
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I'd guess more than half the land in the world, no human has ever set foot.
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