My mouth letting me say "I'm always right but I'm still a massive idiot" is going to hit me like a brick

Bro ends up like Morty with the death-prediction crystal in his head: https://www.youtube.com/watch?v=YjepJlvkdKs

Predicting lottery numbers, proving mathematic formula, coming up with options with for ftl and cold fusion if there are any

Always being right without knowledge on your end could lead humanity forward a lot if you can prove your standing

Or whatever they say is right instead. Atomics are fake? No nuclear power. Oops there goes the sun because fissions gone.

Can you imagine? A modern day oracle. Scientists would be lining up to ask questions about how the world worked and everything you said would be true.

It would be great for just confirming things that science suspected were true. Like, all the rare particles they're trying to find with the Large Hadron Collider. They could just ask the oracle and learn all the particles they were missing, along with all the important data about them.

Best of all, if you couldn't lie, and couldn't be wrong (even if you didn't know the answer) it could be used to "discover" things without ever having to go down blind alleys, or waste time with research that won't bear fruit. For example, you could ask "is it possible for something like a spaceship to move faster than the speed of light?" If the answer is no, then you can write off working on that forever. If it's yes, you could progressively ask questions to learn the theory you'd need to know to build a FTL ship. It could also finally put to bed whether time travel is possible, and how the paradoxes involved are resolved.

If FTL travel is possible, you could just ask the oracle where all the various aliens are, making it really easy to contact them (plus the oracle can tell you if it's unsafe to contact them).

Also, since it was obviously possible to transform someone into an oracle, it should be possible to do that again. You can just ask the oracle the right questions needed to create a second, third, tenth, 1000th oracle. That way the one oracle isn't always so busy, and if the first oracle dies, there are still many more.

You might only be speaking in math, though.

Learning good search algorithms will be your friend.