Paul's 500 witnesses.

[Jehanne]

It doesn't, and I never claimed that it did, only that you'll find "critical scholarship" (yet, "believing scholarship") at that site.  Still, I can assure you that there are a number of Catholic and Protestant scholars, as well as secular ones, who do not believe the "500" to be historical, and yet, some still believe in the Resurrection while others do not.

I'm sure there are believing scholars who doubt the 500. I'm also pretty confident that there are believing scholars who accept the 500. So, scholarship is divided, as it usually is. That's hardly problematic for the believer.

Yeah, that's the point; rarely is belief something that can be falsified, and there are, of course, an infinite number of unfalsifiable beliefs.  By the way, if you didn't get to it, here's part of the New American Bible commentary to 1st Corinthians (emphasis mine):

Paul’s authorship of 1 Corinthians, apart from a few verses that some regard as later interpolations, has never been seriously questioned. Some scholars have proposed, however, that the letter as we have it contains portions of more than one original Pauline letter. We know that Paul wrote at least two other letters to Corinth (see 1 Cor 5:9; 2 Cor 2:3–4) in addition to the two that we now have; this theory holds that the additional letters are actually contained within the two canonical ones. Most commentators, however, find 1 Corinthians quite understandable as a single coherent work.

http://www.usccb.org/bible/1corinthians/0