@KMcGeoch said in #6:
> One thing that I'd add is that 2-4-6 experiment in the blog post isn't the same as the original as in the original only 1 sequence is given while in the blog post 4 are given each with the increment by 2 criteria that does mean misdirection is stronger in your case and that could be down to Asch conformity experiments with simulations. This does mean people are less likely to try 3-6-9 assuming it's a ratio.
>
> Actually way I'd look at it you would need to give literally 1000s of 3 number combinations to be relatively sure of the exact rule. This is because it's entirely possible that numbers in ascending order isn't the only rule when it could follow AND or OR conditions. It could instead be something like numbers in ascending order and at least one number is non-prime.
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> I think the idea of the experiment is that people assume it's increment + 2 not realising it's a subset of the ascending order rule. However there's nothing stopping the ascending order rule being a subset of another rule. So then question is at what point do you stop searching for a rule that may not exist. So it can be argued that everyone that found the "correct" rule also has succumbed to confirmation bias.
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> However in example given one thing missing was a case where pattern didn't apply so if you don't have a failure condition anything could work. If exhaustively testing things to consider include numbers within a set range, there's no clarification as to how numbers that aren't integers are treated (e.g. 0.5, 1/3, pi, infinity, imaginary numbers etc), whether negatives are treated as absolute values or not etc.
My thoughts but you actually took your time.
I guess the "numbers must be in ascendent order" is the only "truth" that you can safely infer. But the thing is, if we are given an "infinite" sample of 3 numbers ascending in +2 increment (or 3 as in the post) the next could always break the + 2 rule and resort to the "ascendent" rule, but we know that this not how prediction works.
> One thing that I'd add is that 2-4-6 experiment in the blog post isn't the same as the original as in the original only 1 sequence is given while in the blog post 4 are given each with the increment by 2 criteria that does mean misdirection is stronger in your case and that could be down to Asch conformity experiments with simulations. This does mean people are less likely to try 3-6-9 assuming it's a ratio.
>
> Actually way I'd look at it you would need to give literally 1000s of 3 number combinations to be relatively sure of the exact rule. This is because it's entirely possible that numbers in ascending order isn't the only rule when it could follow AND or OR conditions. It could instead be something like numbers in ascending order and at least one number is non-prime.
>
> I think the idea of the experiment is that people assume it's increment + 2 not realising it's a subset of the ascending order rule. However there's nothing stopping the ascending order rule being a subset of another rule. So then question is at what point do you stop searching for a rule that may not exist. So it can be argued that everyone that found the "correct" rule also has succumbed to confirmation bias.
>
> However in example given one thing missing was a case where pattern didn't apply so if you don't have a failure condition anything could work. If exhaustively testing things to consider include numbers within a set range, there's no clarification as to how numbers that aren't integers are treated (e.g. 0.5, 1/3, pi, infinity, imaginary numbers etc), whether negatives are treated as absolute values or not etc.
My thoughts but you actually took your time.
I guess the "numbers must be in ascendent order" is the only "truth" that you can safely infer. But the thing is, if we are given an "infinite" sample of 3 numbers ascending in +2 increment (or 3 as in the post) the next could always break the + 2 rule and resort to the "ascendent" rule, but we know that this not how prediction works.