"it has a logic that one can see for oneself without having to believe others."
I take this to mean that one can perceive logically how something might be true and that there is a readily apparent way of finding out directly for oneself.
Basically, if the Dhamma is conveyed to an individual in such a way as to appear to that person as something totally illogical and therefore perceived as something that person cannot act upon, then the Dhamma has not been conveyed.
Just a thought
"Beautifully taught is the Lord's Dhamma, immediately apparent, timeless, of the nature of a personal invitation, progressive, to be attained by the wise, each for himself." Anguttara Nikaya V.332