Unproven math

Welcome to math help com,

Yes, there are certainly things in
mathematics that are unproven, and these generally fall into three
categories:

(1) Simple statements that we accept without proof;

(2) Statements that we simply haven't been smart enough to prove or
disprove yet;

(3) Statements that cannot be proven true or false.

Statements of type (1) are called "axioms," and they're the
fundamental building blocks of mathematics. examples on help in math;
They're obvious statements
like "1 is not equal to 0," or "given two points, exactly one line
goes through them." If we accept these basic statements as our
foundation, we can prove all other provable results from them.

So in a
sense, unproven statements are right at the heart of mathematical
thought. In fact, mathematics _never_ says anything is true - it only
says that certain things are true IF you accept the basic axioms. This
isn't really a problem, since the axioms are usually so obvious that
most people accept them without qualms. learn more on online math forum.