This question was biased against people who don't believe in history.

For my answer, which was wildly wrong, I guesstimated by interpolating backward using the rate of technological and cultural advance in various cultures throughout my lifetime, the dependency of such advances on Bayesian and related logics, with an adjustment for known wars and persecution of scientists and an assumption that Bayes lived in the western world. I should have realized that my confidence on estimates of each of these (except the last) was not very good and that I really shouldn't have had any more than marginal confidence in my answer, but I was hoping that the sheer number of assumptions I made would approach statistical mean of my confidences and that the overestimates would counterbalance the underestimates.

The real lesson I learned from this exercise is that I shouldn't have such high confidence in my ability to produce and compound a statistically significant number of assumptions with associated confidence levels.