My Grandfather Thought He Solved a Cosmic Mystery
I don't understand what the paradox in the water/wine paradox is, after checking out its PDF (linked in the article, <a href="https://www.researchgate.net/publication/252476141_The_WineWater_Paradox_background_provenance_and_proposed_resolutions" rel="nofollow">https://www.researchgate.net/publication/252476141_The_WineW...</a>).<p>The problem is defined without giving the distribution(s). Specifying a distribution makes the problem mathematically solvable.<p>A uniform distribution for representing a ratio of 1/3 to 3 between two things does not match reality well because it gives more weight to one than the other, but I don't see why that's a paradox. You could generate random valid wine/water amounts (reject invalid combinations) and measure distribution of many experiments of that? You can define any distribution you want that makes more sense than those uniform ones. Ultimately though something is not specified, the distribution of the water amount and the distribution of the wine amount. Why is that a paradox?<p>EDIT: the real question is how was the jug filled up. Did someone pour a random amount of water first, and then after that poured a random amount of wine within the allowable limit? Or did they pour the wine first instead? Or did they pour a random amount of both, and discarded it if after that the ratio was not within the 1/3 to 3 limit? Or some other method? That determines the distribution. The distribution of the ratio is more like a derived distribution, derived from the distribution of the wine, the distribution of the water, and how those two distributions depend on each other based on the method used to fill it up.