I found this quote in a book entitled Einstein’s God by Krista Tippett. She quotes a mathematician by the name of Curt Godel. It is simply:
There are some truths that can never be proven to be true.
This statement was made in light of Godel’s then-recent incompleteness theorem which he was able to prove mathematically. The incompleteness theorem states that: In any system at least as complicated as arithmetic: it is either consistent OR complete. Consistent meaning that there are no contradictions and complete meaning that you can prove everything. So, either there are no contradictions OR you can prove everything. If you then choose to consider the system to be consistent then there are truths that cannot be proven. Some food for thought.