system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: How is it possible that there are "unsolvable" mathematic equations?

My general understanding is that math tends to make a lot of sense. Obviously this is very simple but 2+2 obviously equals 4. 3y=6, y obviously equals 2. How complex does math actually get that there are equations that aren't solvable (so far) and what are they? What parts aren't solvable? What is it that we don't know that we need to know before we can solve them?

Edit: For clarification, I'm talking about major mathematical problems that no one's found a solution to, not equations that have answer that make no logical sense.
gpt
Something to understand is that mathematics is essentially philosophy. It's a discipline about logic, not numbers. Most people have the misconceived notion that math is about numbers. It's not, numbers is just a tool used in a lot of math problems. A lot of math problems boil down to having a set of information, and a conclusion, no numbers may be involved. Prove that there is a relationship.

The unsolvable problems right now are essentially relationships that we've observed but we cannot prove through logic as of yet. No one has been able to perform the mental gymnastics to solidify the relationship.