For example, given the axioms of Euclidean geometry, I can prove that the sum of the angles of a triangle add up to 180 degrees.
That statement is true. Full stop.
Now the starting axioms may not be correct (the parallel postulate, for example, is not required to be true). However, given the starting axioms, proofs are true. Period.
In addition, there will be things in mathematics that you cannot prove--Godel's Incompleteness Theorem sits in this section.
And, science has the problem that a hypothesis can only be disproven.
Mathematics does not suffer from the same issue, though.
For example, given the axioms of Euclidean geometry, I can prove that the sum of the angles of a triangle add up to 180 degrees.
That statement is true. Full stop.
Now the starting axioms may not be correct (the parallel postulate, for example, is not required to be true). However, given the starting axioms, proofs are true. Period.
In addition, there will be things in mathematics that you cannot prove--Godel's Incompleteness Theorem sits in this section.
And, science has the problem that a hypothesis can only be disproven.
Mathematics does not suffer from the same issue, though.