Both Jewish and Roman sources and traditions admit an empty tomb.
That the variability of an organism to a certain extent is a constant and certain condition of life we admit, otherwise there would be no distinguishable individuals of a species.
People plead guilty or admit to crimes they didn't commit for various reasons. Certain interrogation procedures produce high rates of false confessions.
When one has been married over thirty years, of course it would be absurd not to admit there have been some difficulties, at some times. But the important thing is that we have weathered them.