You're right, that's what I meant to say. But in regards to the rest of your comments, undeveloped reserves such as ANWR are not considered nearly as large as the proven reserves. If you read the article, the expectation of reaching the peak in world oil production in a few decades is based on an estimate (deemed "optimistic" in the article) of the world oil resource = 2200-3900 billion barrels, "nearly twice the proven reserve". And realize that the upper bound estimate is nearly twice the lower bound estimate.
We can still find and produce more oil. But it will get used up eventually. The article also notes that the realistic way to deal with the situation is via solar and nuclear power. The long-term solution is to get nuclear fusion online.
I'm not sure I agree. I still lean more toward the "deep hot biosphere" view that oil is continually being made deep in the earth. I guess we'll see in fifty years or so.
I do agree however that we need to use more nuke power. Nuke is cool. Likewise the capture of solar is a good idea. It's there we might as well use it.