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\section{Disclaimer}  The paper below started as a mathematical attempt to understand what it would mean to live in a world that is not designed, but, in the end, the mathematical part turned out to be rather small, containing only a few simple properties about set cardinalities and probabilities. I think that the non-mathematical ideas are fairly obvious consequences of the mathematical ones, so probably many people have already thought about them. I tried to find this idea on the internet, but the closest I could get is the idea that the order of the Universe implies or suggests that there is a God. The fine-tuning of the Universe is also close\footnote{\href{https://en.wikipedia.org/wiki/Fine-tuned_Universe}[https://en.wikipedia.org/wiki/Fine-tuned\_Universe]}. close\footnote{\href{https://en.wikipedia.org/wiki/Fine-tuned_Universe}{https://en.wikipedia.org/wiki/Fine-tuned\_Universe}}.  However, I think that what I'm presenting in this paper is different from what I have read about both of these. I have found quotes from various people that seem to hint at the idea below, but I did not find yet anyone that tried to actually develop it. Since it started as a mathematical paper I may use \ghilimele{we} instead of \ghilimele{I} more often than I should, but you should consider it an invitation to work together in discovering some ideas. And if some of those ideas are wrong or unclear\footnote{Given my lack of experience with philosophy this is more probable than I would like.}, I welcome counterarguments and feedback\footnote{Authorea allows everyone to comment on the document. I may switch to a different commenting system if it turns out that something better is needed.}.