That's fine. As far as I can see you have corrected your mistaken view, even though you do have the usual human desire not to admit that you have done so, even though such a correction is a good thing, not a bad thing. Your statement would be true if you meant by infinite resources, the ability to execute an infinite number of statements, and complete that infinite process. In the same way it would be true that we could solve the halting problem, and resolve the truth or falsehood of every mathematical claim. But in fact you meant that if you have unlimited resources in a more practical sense: unlimited memory and computing speed (it is evident that you meant this, since when I stipulated this you persisted in your mistaken assertion.) And this is not enough, without the software knowledge that we do not have.
Sorry, no, you seem to have completely missed the minimax aspect of the problem -- an infinite integral with a weight that limits to zero has finitely bounded solutions. But it is not worth my time to debate this. Good day, sir.
If it's worth saying, but not worth its own post, then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should start on Monday, and end on Sunday.
4. Unflag the two options "Notify me of new top level comments on this article" and "