I have spent some time looking into these sources in the past, but I probably should examine them more closely at some point. I do know that several of these sources have things about them that can lead us to question their reliability. However, even if I assume that they are all reliable, why would it matter? None of them contradict what I see as the most likely explanation. I think some of the apostles may indeed have believed that Jesus appeared to them based on dreams or visions.
If you make believing in the Trinity (a God who is love and reveal Himself to man), contingent on Scripture being a historical / factual account, then you will never believe, because Scripture is not a history book even though there are indeed biblical accounts supported by historical/archeological data.
For one thing, there are differing accounts of several events not only of Jesus’s life but also of other events in the OT.
Those who believe in Christ, take the Bible as the Word of God without question that is why discussing faith issues with other denominations is so much easier as we have this common ground.
The most that any debate with an atheist can be arrived at is a generic God although it is may be possible to connect the dots and arrive at the God of Abraham, the Trinity if one really tries (though I have not tried this myself).
As I have said before faith is a gift and is in the realm of spiritual not material realities although it does encompass material realities.
While faith and reason does co-exist in Catholic Theology, a lot of what we believe defies reason – at least – human reason.
I think the atheist/agnostic coming to faith is best exemplified by Alphonse Ratisbonne.
Alphonse Ratisbonne is a highly intelligent agnostic/atheist Jew who had a fierce hatred of Catholicism and Catholics. This hatred extended even to his own brother when his brother converted to Catholicism.
Through a series of evens and incredible divine intervention, he came to believe. In a span of less than 15 minutes, he changed from a complete non-believer to a passionate follower of Christ.
If you are interested in his story here is a link
http://www.marysource.com/articles/alphonse_ratisbonne.htm
Now, his story will be written off as hallucination by sceptics who demand empirical data. But even in ordinary life there are realities that cannot be supported by empirical data. Qualities such as love, goodness, self-sacrifice.
The need to connect to what is divine is a common human experience which transcends cultural boundaries.
Another atheist in this forum once wrote that life becomes hard when the existential pangs start to gnaw.
So I will throw you a very simple challenge.
Pray. Pray to the God you do not believe in but make your prayer something like this:
“I don’t believe you are out there. I don’t even know if I want to believe. But if You are indeed out there and you are what these Catholics say you are then give me the grace to believe. I don’t even believe in what they call grace, but what ever it is, Catholics seem to think it is good so please grant me Your Grace to believe.”
Try to do this daily when you rise in the morning and when you go to bed at night.
It will take probably take 2 minutes if that. If you find that you still do not believe after a month or 3 months then all you will have lost will be 4 minutes of your day. But then again, you just might be pleasantly surprised.
I will ask Cinnette, Tom, Sinner to pray with me for this grace for you.