I would say yes. Set theory (obviously), and an understanding of probability is necessary. For example, how do you know how many database restores from your thousand databases do you need to do in order to be, say, 95% confident that they all work? See Thomas "Rockstar" LaRock's article [Statistical Sampling for Verifying Database Backups][1] and if you fully understand the maths behind it, then you're a better man than me.
[1]: http://thomaslarock.com/2010/05/statistical-sampling-for-verifying-database-backups/
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