> Not everyone knows/remembers that ESP was considered scientifically verified for a good couple 20th century decades, such that many people who considered themselves scientific thinkers felt they had to accept it's validity even though they had been suspicious.

In Alan Turing's most famous paper, it mentioned that human ESP could be a possible loophole in the Turing test. This was how I became aware of the history of ESP research.

Turing even considered True Random Number Generator manipulation via ESP, which, as I've learned later, also had a surprisingly long history of being a standard test in this field. His response to this loophole was a funny one: If ESP is used, it may increase the correct number of guesses in both the human mind and the computer TRNG...

> I assume that the reader is familiar with the idea of extra-sensory perception, and the meaning of the four items of it, viz. telepathy, clairvoyance, precognition and psycho-kinesis. These disturbing phenomena seem to deny all our usual scientific ideas. How we should like to discredit them! Unfortunately the statistical evidence, at least for telepathy, is overwhelming. It is very difficult to rearrange one’s ideas so as to fit these new facts in. Once one has accepted them it does not seem a very big step to believe in ghosts and bogies. The idea that our bodies move simply according to the known laws of physics, together with some others not yet discovered but somewhat similar, would be one of the first to go.

> This argument is to my mind quite a strong one. One can say in reply
that many scientific theories seem to remain workable in practice, in spite
of clashing with E.S.P.; that in fact one can get along very nicely if one
forgets about it. This is rather cold comfort, and one fears that thinking is
just the kind of phenomenon where E.S.P. may be especially relevant.

> A more specific argument based on E.S.P. might run as follows: “Let
us play the imitation game, using as witnesses a man who is good as a
telepathic receiver, and a digital computer. The interrogator can ask such
questions as ‘What suit does the card in my right hand belong to?’ The man
by telepathy or clairvoyance gives the right answer 130 times out of 400
cards. The machine can only guess at random, and perhaps gets 104 right,
so the interrogator makes the right identification.” There is an interesting
possibility which opens here. Suppose the digital computer contains a
random number generator. Then it will be natural to use this to decide what
answer to give. But then the random number generator will be subject to
the psycho-kinetic powers of the interrogator. Perhaps this psycho-kinesis
might cause the machine to guess right more often than would be expected
on a probability calculation, so that the interrogator might still be unable to
make the right identification. On the other hand, he might be able to guess right without any questioning, by clairvoyance. With E.S.P. anything may
happen.

> If telepathy is admitted it will be necessary to tighten our test up. The
situation could be regarded as analogous to that which would occur if the
interrogator were talking to himself and one of the competitors was
listening with his ear to the wall. To put the competitors into a ‘telepathy-
proof room’ would satisfy all requirements.

https://academic.oup.com/mind/article/LIX/236/433/986238