In philosophy 101, my professor said that philosophy was focused on controversial topics because once you could prove a side, it would become science. E.g. the heavens used to be a philosophic topic until we had the ability to prove heliocentrism.
Math is much more focused on the realm of what can be proved. Unproven statements in math (e.g. conjectures or axioms) are the exceptions that prove the rule.
Professional mathematicians spend their lives working on the unproven. It just seems like math is about what's already been proven because it takes so much education to reach the unproven ideas and unanswered questions.
Math is much more focused on the realm of what can be proved. Unproven statements in math (e.g. conjectures or axioms) are the exceptions that prove the rule.