Pythagorean epistemology also distinguished between noetic/discursive knowledge, potentially providing an alternative explanation for Alcmaeon's divine-human distinction without invoking Xenophanes.
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The theory of knowledge developed by Pythagoras and his followers, the ancient Greek philosopher known for the Pythagorean theorem.
Xenophanes(mentioned as someone who mocked Pythagorean ideas)
An ancient Greek philosopher (around 570-475 BCE) who was famous for criticizing and making fun of other philosophers' ideas, including those of Pythagoras.
discursive knowledge(Kantian and Romantic epistemology)
Knowledge that requires conceptualization; knowing something by determining it to be one way or another according to the forms of discursive thought.
epistemology(Contrasted with purely descriptive scientific inquiry)
A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.