This reminds me of a prediction game experiment I heard that was described like the following. \*
The researchers presented the following to people.
f(1) = true
f(2) = true
f(4) = true
f(8) = true
And asked, what is f?
And the people will immediately jump in and test 16, 32, and then proudly declare that
f = x -> x = 2^n for some integer n
Forgetting to test f(3), f(5), etc.
With more examination it turns out that
f = x -> true.
\* I wish I could remember more of the details such as whether it was an experiment or just an illustration of one but it's not an easy thing to search for and I rely on memory and searching too much.
The researchers presented the following to people.
And asked, what is f?And the people will immediately jump in and test 16, 32, and then proudly declare that
Forgetting to test f(3), f(5), etc.With more examination it turns out that
\* I wish I could remember more of the details such as whether it was an experiment or just an illustration of one but it's not an easy thing to search for and I rely on memory and searching too much.