As long promised, my thoughts…
Remote Viewing was born from a bed of scientific parapsychology. Parapsychology is a discipline that seeks to investigate the existence and causes of psychic abilities and life after death using the scientific method. http://en.wikipedia.org/wiki/Parapsychology
According to Wikipedia, Parapsychologists study a number of ostensible paranormal phenomena, including but not limited to:
(This does not include a multitude of other claimed paranormal phenomena such as astrology, UFOs, Bigfoot, paganism, vampires, alchemy, or witchcraft.)
Remote Viewing is directly related to the first three of these parapsychology areas – telepathy, precognition and clairvoyance. I want to look at the bible writers attitudes to each of these phenomena one at a time.
In this discussion we should remember that because the Bible is full of examples of various types of paranormal phenomena is not in itself an endorsement of the phenomena (the bible has many accounts of murder, rape and incest). Rather, we need to investigate the context of the account.
Telepathy and the Bible
The bible is remarkably silent about telepathy between people. As far as I can ascertain, it says nothing about it – for, neutral or against. Similarly, there appears to be no examples of telepathy between angels and humans anywhere in the Bible. (If any Bible examples come to your mind, drop me a comment!) It appears that this is not a mode of communication angels used with humans, or at least one that Bible writers recognised.
Between God and humans, the situation is quite different. “God Knows Our Every Thought” [Ezekiel 11:5] indicates a level of telepathic communication beyond anything claimed by a person. Also, as Christians, when we pray, we must believe in telepathy because how else are we allowing “the spirit” of God, that still small voice [1 Kings 19:11-13] to talk to us and we to Him?
In summary, the Bible appears to be silent on telepathy between people, and between people and angels, while telepathic communication with God is basic to any sort of engaging relationship. Consequently, I see nothing in the bible that speaks against the use of remote viewing to ascertain others thoughts and feelings is. However, there are ethical issues of respect for the individual and the invasion of their personal privacy that need to be carefully considered.