'Basis' in the Bible

Then Pilate said to the chief priests and the crowds, "I find no basis for an accusation against this man."

Now this is the basis for judging: that the light has come into the world and people loved the darkness rather than the light, because their deeds were evil.

Pilate asked, "What is truth?" When he had said this he went back outside to the Jewish leaders and announced, "I find no basis for an accusation against him.

And on the basis of faith in Jesus' name, his very name has made this man -- whom you see and know -- strong. The faith that is through Jesus has given him this complete health in the presence of you all.

Though they found no basis for a death sentence, they asked Pilate to have him executed.

When they had heard my case, they wanted to release me, because there was no basis for a death sentence against me.

Am I saying these things only on the basis of common sense, or does the law not say this as well?

he saved us not by works of righteousness that we have done but on the basis of his mercy, through the washing of the new birth and the renewing of the Holy Spirit,

I would rather appeal to you on the basis of love -- I, Paul, an old man and even now a prisoner for the sake of Christ Jesus --

So if perfection had in fact been possible through the Levitical priesthood -- for on that basis the people received the law -- what further need would there have been for another priest to arise, said to be in the order of Melchizedek and not in Aaron's order?