Your comparison is an apt one. Both recipes and music are things we think of as infinite, but are not (Proof: you can encode all music/recipes/whatever as a fin

Your comparison is an apt one. Both recipes and music are things we think of as infinite, but are not (Proof: you can encode all music/recipes/whatever as a finite series of 0's and 1's. Hence, there is a finite (and easily calculated) upper bound on the number of recipes shorter than a certain length.) Now, these representations are fairly long (and furthermore, music can't be made much shorter), so there are a fair number of variations. In conclusion: Yes, they will run out someday. However, this may be after the heat-death of the universe. A bigger risk to their business model is humanity changing to not need food.