Hitetlen:
What do you mean by proof? Deductive proofs only exist in axiomatic systems, and the real world is not axiomatic. One cannot gain knowledge about the real world except by experiencing it. If you know any another method, share it with us.
You can gain knowledge about the word from the testimony of others and from reason, as well as from experience. I don’t have to have been in combat to have gained knowledge about combat. Our military training is based upon this principle. The first century historian, Josephus, said of the Roman’s empires military training, “Their exercises are like battles without blood, and their battles are bloody exercises.”
The proposition that all things which begin to exists have a cause of its existence is not something that can be experienced, because we cannot have an experience about all things. Yet we gain knowledge about ontology by what we do know about some things, by reason, and by testimony of others.
Your narrow epistemology is imprecise and unconvincing, compared to how humans actually come to gain knowledge.
Truth is that which corresponds to reality. It is objective. It is not defined or limited to that which can be empirically proven, or experience, reasoned, understood, or felt, etc. These things are helpful in coming to know the truth, but they do not define the truth. For example, before experiencing that which corresponds to certain elements of reality, those elements of reality existed. Before knowing about that celestial body next to Pluto, it was there. We actually predicted it before having any imagery of it due to the movement of the other planets. We reasoned to a conclusion based upon incomplete evidence. Yet, the conclusion was still a postulate, as it lacked scientific proof.
Belief is not the same as truth. Truth is objective, yet beliefs are subjective. Belief is that which one holds to be true. Beliefs are derived from three sources: 1) experience 2) reason 3) testimony of others.
The reason people hold different beliefs is because we have different experiences, varying reasoning capability, and trust differing testimonies. Nonetheless, what we believe is subjective. What is true is objective (corresponds to reality).
Just because you cannot prove something doesn’t mean it isn’t true. Science is built upon postulates, many of which cannot be empirically proven, but remain rather speculative. Nevertheless, most people decide based upon incomplete evidence, and thus, believe things based upon non-empirical proofs. For example, we rarely have proof in the absolute sense of someone being murdered. So we rely upon incomplete evidence and witness testimony to decide with moral certainty that someone is guilty of murder beyond reasonable doubt. There’s another less strict evidentiary standard, however, for civil law called “preponderance of evidence” which is also another method of epistemology which many decisions rely upon, without having absolute proof based upon complete evidence.