Dream telepathy is the purported ability to communicate telepathically with another person while one is dreaming. The first person in modern times to document telepathic dreaming was Sigmund Freud. In the 1940s it was the subject of the Eisenbud-Pederson-Krag-Fodor-Ellis controversy, named after the preeminent psychoanalysts of the time who were involved Jule Eisenbud, Geraldine Pederson-Krag, Nandor Fodor, and Albert Ellis. There is no scientific evidence that dream telepathy is a real phenomenon. Parapsychological experiments into dream telepathy have not produced replicable results.
The notion and speculation of communication via dreaming was first mooted in psychoanalysis by Sigmund Freud in 1921. He produced a model to express his ideas about telepathic dreaming. His 1922 paper Dreams and Telepathy is reproduced in the book Psychoanalysis and the Occult (1953) and was intended to be a lecture to the Vienna Psycho-Analytical Society, although he never delivered it. Freud considered that a connection between telepathy and dreams could be neither proven nor disproven. He was distinctly suspicious of the whole idea, noting that he himself had never had a telepathic dream. (His two dreams that were potentially telepathic, where he dreamed of the deaths of a son and of a sister-in-law, he labeled as "purely subjective anticipations".) His ideas were not widely accepted at the time, but he continued to publicly express his interest and findings about telepathic dreaming. He also observed that he had not encountered any evidence of dream telepathy in his patients.
In the 1940s Jule Eisenbud, Geraldine Pederson-Krag and Nandor Fodor described alleged cases of dream telepathy. Albert Ellis regarded their conclusions to have been based upon flimsy evidence, and that they could be better explained by bias, coincidence and unconscious cues than by dream telepathy. He also accused them of an emotional involvement in the notion, resulting in their observations and judgement being clouded.
There have been many experiments done to test the validity of dream telepathy and its effectiveness, but with significant issues of blinding. Many test subjects find ways to communicate with others to make it look like telepathic communication. Attempts to cut off communication between the agent, sender, and receiver of information failed because subjects found ways to get around blindfolds no matter how intricate and covering they were. In studies at the Maimonides Medical Center in Brooklyn, New York led by Stanley Krippner and Montague Ullman, patients were monitored and awakened after a period of REM then separated to study the claimed ability to communicate telepathically. They concluded the results from some of their experiments supported dream telepathy. However, the results have not been independently replicated. James Alcock has written the dream telepathy experiments at Maimonides have failed to provide evidence for telepathy and "lack of replication is rampant." 
The picture target experiments that were conducted by Krippner and Ullman were criticized by C. E. M. Hansel. According to Hansel there were weaknesses in the design of the experiments in the way in which the agent became aware of their target picture. Only the agent should have known the target and no other person until the judging of targets had been completed, however, an experimenter was with the agent when the target envelope was opened. Hansel also wrote there had been poor controls in the experiment as the main experimenter could communicate with the subject.
An attempt to replicate the experiments that used picture targets was carried out by Edward Belvedere and David Foulkes. The finding was that neither the subject nor the judges matched the targets with dreams above chance level. Results from other experiments by Belvedere and Foulkes were also negative.
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