If math is a such a definite subject with solid answers, how are there still unsolved math problems? How do people even come up with them?

Question

If math is a such a definite subject with solid answers, how are there still unsolved math problems? How do people even come up with them?

In: Mathematics

Answer 1

Here is a fun concept for you. Gödel’s incompleteness theorems basically prove that there are things which are mathematically true which can never be proven to be true.

What a concept! We know that there things where not only does no proof exist, but no proof can exist, despite them being true. Given this, there will always be things we can never prove to be true or false.