Supernatural Concepts Worthy of Further Inquiry

At the time of writing there are three claims in the ESP field which, in my opinion, deserve serious study: (1) that by thought alone humans can (barely) affect random number generators in computers; (2) that people under mild sensory deprivation can receive thoughts or images 'projected' at them; and (3) that young children sometimes report the details of a previous life, which upon checking turn out to be accurate and which they could not have known about in any other way than reincarnation. I pick these claims not because I think they're likely to be valid (I don't), but as examples of contentions that might be true. The last three have at least some, although still dubious, experimental support. Of course, I could be wrong.

Notes:

Carl Sagan lists three seemingly supernatural concepts worth investigation.

Folksonomies: science supernatural

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 The Demon-Haunted World: Science as a Candle in the Dark
Books, Brochures, and Chapters>Book:  Sagan , Carl and Druyan , Ann (1997-02-25), The Demon-Haunted World: Science as a Candle in the Dark, Ballantine Books, Retrieved on 2011-05-04
Folksonomies: science empiricism rationalism