I didn't miss anything, thanks. Since all the technically equivalent methods have an equal efficiency (because they ALL find solutions faster than usual), then how can these two propositions occur simultaneously? 1. There is more than one method that finds the solution faster than normal, on average. AND 2. Every method of these methods returns the solution after a different number of operation, for every instance of a specific problem to be solved? If this doesn't sound like a logical contradiction to you, I don't know what does. In essence, for whatever problem to solve, you will have a technical equivalent method that finds the solution faster, and one that finds the solution later. So, again - which one is the better variant? Keep in mind - all the methods have the same statistical advantage, so which one should we pick, for, e.g., Puzzle 71? If your answer is: ANY method out of all those technically equivalent methods, then how come some of those methods find the solution faster than the others, for ANY problem you are trying to solve? This can all be proven empirically as well, just as everything up to this point. So, for any problem where you have the Prefix working as an advantage, I can find some other technical equivalent variant, with the same statistical advantage, that finds the solution FASTER than the Prefix. So, again - which one is the superior method after all? Or, you don't really have an answer, since the dilemma is in your garden at this point?
I didn't miss anything, thanks. Since all the technically equivalent methods have an equal efficiency (because they ALL find solutions faster than usual), then how can these two propositions occur simultaneously? 1. There is more than one method that finds the solution faster than normal, on average. AND 2. Every method of these methods returns the solution after a different number of operation, for every instance of a specific problem to be solved? If this doesn't sound like a logical contradiction to you, I don't know what does. In essence, for whatever problem to solve, you will have a technical equivalent method that finds the solution faster, and one that finds the solution later. So, again - which one is the better variant? Keep in mind - all the methods have the same statistical advantage, so which one should we pick, for, e.g., Puzzle 71? If your answer is: ANY method out of all those technically equivalent methods, then how come some of those methods find the solution faster than the others, for ANY problem you are trying to solve? This can all be proven empirically as well, just as everything up to this point. So, for any problem where you have the Prefix working as an advantage, I can find some other technical equivalent variant, with the same statistical advantage, that finds the solution FASTER than the Prefix. So, again - which one is the superior method after all? Or, you don't really have an answer, since the dilemma is in your garden at this point?

I didn't miss anything, thanks. Since all the technically equivalent methods have an equal efficiency (because they ALL find solutions faster than usual), then how can these two propositions occur simultaneously? 1. There is more than one method that finds the solution faster than normal, on average. AND 2. Every method of these methods returns the solution after a different number of operation, for every instance of a specific problem to be solved? If this doesn't sound like a logical contradiction to you, I don't know what does. In essence, for whatever problem to solve, you will have a technical equivalent method that finds the solution faster, and one that finds the solution later. So, again - which one is the better variant? Keep in mind - all the methods have the same statistical advantage, so which one should we pick, for, e.g., Puzzle 71? If your answer is: ANY method out of all those technically equivalent methods, then how come some of those methods find the solution faster than the others, for ANY problem you are trying to solve? This can all be proven empirically as well, just as everything up to this point. So, for any problem where you have the Prefix working as an advantage, I can find some other technical equivalent variant, with the same statistical advantage, that finds the solution FASTER than the Prefix. So, again - which one is the superior method after all? Or, you don't really have an answer, since the dilemma is in your garden at this point?

I didn't miss anything, thanks. Since all the technically equivalent methods have an equal efficiency (because they ALL find solutions faster than usual), then how can these two propositions occur simultaneously? 1. There is more than one method that finds the solution faster than normal, on average. AND 2. Every method of these methods returns the solution after a different number of operation, for every instance of a specific problem to be solved? If this doesn't sound like a logical contradiction to you, I don't know what does. In essence, for whatever problem to solve, you will have a technical equivalent method that finds the solution faster, and one that finds the solution later. So, again - which one is the better variant? Keep in mind - all the methods have the same statistical advantage, so which one should we pick, for, e.g., Puzzle 71? If your answer is: ANY method out of all those technically equivalent methods, then how come some of those methods find the solution faster than the others, for ANY problem you are trying to solve? This can all be proven empirically as well, just as everything up to this point. So, for any problem where you have the Prefix working as an advantage, I can find some other technical equivalent variant, with the same statistical advantage, that finds the solution FASTER than the Prefix. So, again - which one is the superior method after all? Or, you don't really have an answer, since the dilemma is in your garden at this point?