Example:
Our emotions aren't something we experience, but who we are. Hence the [...] to get rid of them.
I thought of the word futility but I think it denotes more 'uselessness' than impossibility?
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Our emotions aren't something we experience, but who we are. Hence the [...] to get rid of them.
I thought of the word futility but I think it denotes more 'uselessness' than impossibility?
If you want to convey the idea of something that is impossible to do I'd rephrase as:
Hence there is no way to get rid of them!
Futility is more "wasted action on something impossible to achieve", so it would be "Hence the futility of trying to get rid of them." in your context.