Let's imagine there are billions of planets out there (a true Sagan-esque billions) which have spawned intelligences that have achieved interstellar travel - ie. they have the ability to actively seek out and communicate with others of similar ability. Perhaps like the United Federation of Planets in Star Trek, except many, many of these, separated from others by various degrees of intelligence or ability. Let's imag…
Any species that didn't have intellectual curiosity about things that aren't obvious useful would probably never make it off its home planet. A lot of the math and science that underlies stuff we use every day didn't seem useful when it was developed - see, for example, the theory of computation, worked out when there were no computers, and without which there probably still wouldn't be any computers.