“The uniform distribution centered at c” does not seem to make sense. Did you perchance mean the Gaussian distribution? Further, ‘deviates’ looks like jargon to me. Can we use ‘samples’? I would therefore rephrase as follows, with specific example to hang one’s visualisation on:
Heights of male humans are known to have a Gaussian distribution of width 10 cm around some central value ; unfortunately you have forgotten what the central value is. Joe is 180 cm, Stephen is 170 cm. The probability that is between these two heights is 50%; explain why. Then find a better confidence interval for .
I think there is a large asymmetry between rationality quotes and unrationality quotes. The first strive to set a good example, or in some cases just to be funny while still true. So you can go through a long list of quotes and pick out the best ones, and accomplish your purpose. But unrationality quotes are attempting to demonstrate a preponderance, even a dominance, of dis-rationality over rationality in a particular tradition. For this it is not sufficient to cherry-pick a round dozen quotes from 2 millennia; you must also demonstrate that there are not counterweights to the ones you show. For all we know from what you’ve shown, these are the bottom 10% of Christian thinking; the rationality quotes, on the other hand, are avowedly picked from the top 10%.
Your thesis may still be true, indeed I think it is, but the quotes do not demonstrate it.
That said, the post might be a useful Dark Side weapon for making the first chink in someone’s armour of rationalisations.