Before it senselessly became a taboo to honestly and fairly report on successful results of telepathy in publications such as Scientific American, such publications would sometimes admit the existence of telepathy. My post here documents how in 1941 the editors of Scientific American confessed that telepathy was proven.
The photo below is from a Scientific American article in 1924 that you can read here. On the left of each pair is a drawing that one person attempted to mentally transmit to another. On the right of each pair is a drawing made by the person attempting to receive such telepathy transmissions. We see some striking successes.
One problem with tests of the type shown above is that it is hard to quantify the improbability of the result. A different type of test developed at Duke University did allow the exact quantification of the improbability of achieved results. The Duke University psychologist Joseph Rhine did many tests using a deck of Zener cards. In such tests an experimenter uses a pack of cards that all look the same on one side. The other side of a card has one of five symbols shown below. There are an equal number of each symbol in the deck.
Below is part of a 1938 newspaper account of the work of Duke University psychologist Joseph Rhine. We have a reference to card guessing experiments involving Zener cards that have five possible symbols on one side of the card. I have touched up a few illegible characters in the original. With such cards, each correct guess of the symbol on one card has a chance probability of 1 in 5, or 20%.
You can read more details about Rhine's experiments with Hubert Pearce in my post here. I describe the evidence from these tests as "smoking gun" evidence for ESP.
The account below appeared on page 90 of the April 15, 1940 edition of Life magazine, which during its heyday was one of the three or four leading weekly magazines in the United States. We read of tests with Zener cards that have five possible symbols, on one side of the card. The chance probability of guessing one of the cards correctly is 1 in 5.
The article correctly states the rough likelihood of guessing a sequence of 9 of these cards correctly, purely by chance. Since there are five possible symbols, each equally likely, the chance of correctly guessing a sequence of 9 of the cards is 1 in 5 to the ninth power, which is 1 in 1,953,125. The text above seems to suggest that this feat of guessing all the cards correctly occurred in two consecutive attempts to guess 9 cards in a row. The likelihood of that occurring by chance in such a series involving 18 guesses would be 1 in 5 multiplied by itself 18 times, which would be 1 in 3,814,697,265,625. You can calculate something like that using one of the large exponents calculators online, such as the one shown below:
The tests above were mainly tests of clairvoyance, not telepathy. What is the difference? Clairvoyance is typically described as an ability to acquire information in some extra-sensory way, with there being little or no chance of you getting the information from some kind of mind-reading of someone else who knew the information. So when a pack of cards is shuffled, and no one knows the next card until the card is turned, and someone tries to guess what the card is, that is a test of clairvoyance. But if you and I sit in separated rooms, and I try to transmit mentally a thought or image to you, then such a test is called a test of telepathy. It can actually be hard to separate clairvoyance and telepathy under some tests. For example, if I hold up a card and try to mentally transmit it to you, in some other room or some other house, if you are successful in such tests that could either be from telepathy (you reading my mind) or by some clairvoyance in which you were able to see the cards by extrasensory perception.
The Life magazine also discusses on page 95 tests of clairvoyance and ESP that Joseph Rhine did with the medium Eileen Garrett. These were very unusual, in that the medium would go into a trance, and then start speaking as if she were another personality called Uvani. Often when this occurs with mediums, there is an impression of communication with some unearthly realm, such as an afterlife realm. Instead of quoting the Life magazine summary, I will quote the original report of these tests, which appear at the beginning of this edition of the scientific journal Character and Personality, the December 1934 edition (Volume 3, Issue 2). On page 100 we read this report by Rhine:
The tests involving guessing the symbol shown on a Zener card with 5 possible symbols. The tests were done with a deck of cards with an equal number of each of the five symbols. The probability of guessing correctly 4018 or more out of 16,000 cards is 1 in 7.7 times 10 to the 56th power. This is a probability of less than 1 in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. We would never expect chance to produce such a result, even if you spent half of every person's life doing telepathy tests on them.
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