Early science and early religion (belief in ghosts is part of religion) are both prehistoric (before people invented writing) - so we shall never have a definitive answer to this question.
One of the most interesting theories I have seen is argued by Robert Graves in his book The White Goddess. Graves suggests that early science (mainly basic Biology and astronomy - the two cornerstones of the earliest civilisations) were not distinct from early religion: the religious stories gave a theoretical framework which allowed the observational discoveries of primitive science to be tied together into easily memorised and predictive theories.
Graves even suggests that the sequence of the letters of the alphabet contains important knowledge about tree biology. I'm not sure I could go that far with him.
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In truth there currently are no real requirements for paranormal investigation. Paranormal investigation is the casual practice of examining claims of apparitional and poltergeist activity in field settings. Paranormal investigators use various techniques to try to determine the reality of the claims. Many desire to document their findings using various technologies including photography, video and audio recording, and various environmental monitoring tools. Some paranormal investigators seek to debunk paranormal claims while others with a typically more metaphysical focus seek to help others understand their experiences. As such these two groups represent the ends of a rather broad belief system in paranormal matters. There is no middle-ground and few paranormal investigators are truly without some beliefs on the subject. In order to perform paranormal investigations, one should have some knowledge of science and psychology. Unfortunately most paranormal investigation teams lack this knowledge. A good first step would be an undergraduate degree in an established science. An alternative would be an undergraduate degree in philosophy. Paranormal investigators must appreciate the limits of their techologies and have an understanding of the nature of the people who they wish to serve. Only degrees of this sort can bring this sort of orderly understanding that is required. Online courses that purport to train people to become 'paranormal investigators' or something similar should be avoided. None to date appears to be credible. You can test this by simply asking about the credentials of the training entity. If they are not university trained, it is likely they will not be able to provide the education required. It is also wise to avoid courses focused solely on metaphysical topics, including things like 'demonlogy'. Serious investigators should be remain abreast of current thinking in research Parapsychology, and so should read journals such as the Journal of Parapscyhology and the Journal of the Society for Scientific Exploration as a basis.
When it is rational and therefore based on current understanding. Doesn't mean it is always correct, so belief can change with changing scientific knowledge.
The Power of Belief was created in 1998.
1. Belief in God or gods. 2. Belief in an afterlife. 3. Community of belief. 4. Worship.
Any answer to this question will depend upon how science is perceived. Regardless of how science is perceived, claiming that something is a science because it studies something is invalid. For example consider the claim that 'ghostology' is a science because it studies ghosts. Consequently, just because psychology studies mentality (or behaviour) doesn't mean that it is a science. Indeed Immanuel Kant, the German philosopher, contended, wrongly, that psychology couldn't become a science because (supposedly) the mind can't be studied. The International Council for Science (ICSU) will have its perception of science. My guess is that it is considered a science because it employs the "scientific method" for inquiry.