I'm defining rigpa as consciousness without dualistic thought.
This sort of idea is very prevalent among those with no training in Dzogchen, in the "tradition" of those who conflate the so-called non-dualist traditions together, based on mere reading of texts in translation.
Now, depending on whether this consciousness without dualistic thought is defined as fundamental and over-arching, or unique and personal, we have the distinction between Hindu Vedanta and the mind-only position of Indian Buddhist Cittamatrins. It could even be the svasamvedana of the Buddhist logicians, the non-conceptual self-knowing mind.
Such definitions of vidy� above bear no resemblance to the definitions of vidy� stated by Indian masters such as Vimalamitra. He defines vidy� very simply:
...acute because of moving, subtle, and apparent, vidy� is knowing, clear and unchanging
The nature of the mind is not free from traces, so it is called “mind”. That knowledge of the dharmakÄ�ya as empty is called “vidyÄ�". That also gives rise to recognition of great clear emptiness. Remaining in that stage is called “wisdom”. Remaining without concepts, free from the errors of lethargy, agitation and so on, is called “dharmakÄ�ya”.