Now, the best description of the Bijuu came straight out of Chiyo's mouth. I forgot the chapters, but she said that the Bijuu were simply large concentrations of chakra. To me, that pretty much explains how it's a possibility that they're infinite entities. But then again, the lowest Bijuu as an entity could probably be supressed to the point of non-existence. But that's besides the point. If the Bijuu were beyond human understanding/comprehension as Chiyo said, then why were they dabbling with them in the first place? I mean, this is supposed to be some extremely dangerous shit, these Bijuu are. Yet, some form of sealment has been created (Shiki Fuujin, Akatsuki statue, method of how Shukaku was sealed within Gaara, ect) in order for the warring countries to gain control of the Bijuu so that they could squash their competiton. However, with Akatsuki planning a full fledge capture of all Bijuu and their containers in order for them to be extracted, one begins to wonder just how do they benefit the organization as a whole? Madara said that in time, all of their goals will be accomplished. Meaning, the surviving Akatsuki will get some sort of benefit from Madara's master plan. Madara will regain his true power. Pein will get his nuke. The other surviving members (Zetsu, Konan, and Kisame) are unknown. Just, what is it about this large concentration of chakra that's power and intelligence is determined by how many tails it has...?