Through his enlightenment, he's managed to see that the True Source really is Thought (or Will, I suppose?) and that saidin/saidar are merely abstractions that allow channelers a visual/conceptual "interface" to the power of the Creator, as most (all but Rand and the Creator, probably) are not enlightened enough to not only realize, but truly believe and internalize the fundamental truth that Thought/Will control the world (and that your will must compete with the will/thought of others). The weaves allow a consensus interface to the power that causes all channelers (those strong willed or enlightened enough) in the area to "agree" on what's happening, forming a consensus reality in which that rod of balefire is produced, or that gateway, or whatever.