Thinking about evidence and proof
The notion of 'Proof' is notoriously difficult. It's true, we speak all the time of 'proofs' in everyday conversation and we do it to convey a sense of absoluteness about something. So we say a person's 'proved' themselves to be honest or a new detergent has proven to be better than another. In the everyday world of living, the word 'prove' suggests reliability and trustworthiness.
But you can only truly prove something when everyone agrees at the outset on the rules. This is workable in the abstract realm of mathematics but much more difficult when we consider God. In mathematics, conclusions are either right or wrong and follow directly from the rules that are agreed on. But even mathematicians have their disagreements over rules. With God, we need a great deal of humility. After all, we shouldn't presume to even know all the rules, let alone determine them.
This is why the authors of this website prefer to speak of evidence. Has God given reasonable evidence of Himself that we can trust?
Again, as mentioned elsewhere on this site, Jesus's claim and the witness of the Bible writers is that he is just such evidence. It may not be the evidence we expect. But that doesn’t affect its truthfulness.