I was linking it partially tongue in cheek, but oracles and the auspices in antiquity were specifically not about morality. They were about predicting the future. If you wanted to know if you should invade Carthage on a certain day, you'd check the chickens. Literally. And plenty of medical practices were steeped in religious fare, too. If you go back further, a lot of shamanistic practices divine the facts about the present reality. In the words of Terrence McKenna, "[Shamans] cure disease (and another way of putting that is: they have a remarkable facility for choosing patients who will recover), they predict weather (very important), they tell where game has gone, the movement of game, and they seem to have a paranormal ability to look into questions, as I mentioned, who’s sleeping with who, who stole the chicken, who—you know, social transgressions are an open book to them." All very much dealing with facts, not morality.

With regards to Pythagoreanism, Pythagoras himself thought of mathematics in religious ways. From the entry on Pythagoras (https://plato.stanford.edu/entries/pythagoras/) in the SEP:

> The cosmos of the acusmata, however, clearly shows a belief in a world structured according to mathematics, and some of the evidence for this belief may have been drawn from genuine mathematical truths such as those embodied in the “Pythagorean” theorem and the relation of whole number ratios to musical concords.

There are numerous sections throughout both of these entries that discuss Pythagoras, mathematics, and religion. Plato too is another fruitful avenue, if you wanted to explore that further.