One source of knowledge, two, four, five or six? Why Indian schools argued over the count
I build credit-scoring models, and my working epistemology is Bayesian: there is one way to learn, which is to update on evidence. So I was surprised to find that classical Indian philosophers organised epistemology around a different question, how many sources of knowledge (pramāṇa) there are, and gave different answers.
As I understand the scoreboard: the Cārvākas accepted perception alone; Buddhist logicians accepted perception and inference; Nyāya accepted four, adding comparison and testimony; the Prābhākara Mīmāṃsakas five; the Bhāṭṭa Mīmāṃsakas six.
What I don't understand is what the extra ones are, and what the argument is really about. Is this just bookkeeping, different ways of carving up the same thing? Or is there a real disagreement about whether some kinds of knowledge can be reduced to others? And if it's the second, wouldn't a Bayesian simply say everything reduces to updating on evidence, and side with the Buddhists?