[satvikpendem]

Maybe the genie provides full proofs of each result. So will the journey still matter? For a true mathematician it should not.

[vouaobrasil]

Of course it does because the joy of math is discovering something yourself. At some point you just want to stare at a blank sheet of paper, start with a premise and go on a journey. Are you a mathematician or scientist? I am and just typing "tell me the proof of this result" sounds immensely boring to me.

Have you ever played a video game with an "invincibility cheat"? Boring. But you do get to the end and "solve the game".

[satvikpendem]

Don't conflate the joy of doing math with the benefits of knowing new mathematics.

[vouaobrasil]

The two cannot be separated.

[satvikpendem]

Sure they can, as with each successive generation one learns the past works and then works to build on them. This genie just makes the past works be instantly created. In other words, I'm sure some mathematicians like to derive everything entirely from scratch but that's not most of them.