If we discover the means to travel faster than light, but researching and developing the technology means that the Earth is destroyed in just a few decades, should the technology still be pursued?
Edit: A bunch of yall don't seem to grasp the concept of a theoretical question
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No way.
Earth is the homeland, it's the botanical gardens, the tribal reservation, it comes first.
Now, if you could do it on, say, mars, absolutely.
Yea, FTL travel implies that we have somewhere else to go.
Now while I assume there are plenty of other habitable planets out there, strictly speaking we don’t know that.
Habitable also doesn't imply that we are compatible with the local ecosystem, just that we could bring the plants and animals we are compatible with, but for that they would still need to exist to take some.