What does Romans 10:11 mean?

As he has done in the previous chapter (Romans 9:33), Paul quotes from Isaiah 28:16. Once again, he translates the verse to read that whomever believes in "Him" will not be put to shame. By Him, Paul means that Christ is the precious cornerstone God has laid in Zion. All who trust in this cornerstone, this sure foundation, will be vindicated. The foundation will hold. They will find themselves standing on the Rock.

In quoting this verse once more, Paul is supporting a crucial idea from verse four which began this train of thought: "Christ is the end of the law for righteousness to everyone who believes." Belief, not keeping the law, is the necessary ingredient to be declared righteous by God and welcomed into His family. In fact, as Paul will spell out in the following verses, there is no other criteria besides belief, including whether a person has been born physically into Israel or not.