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What is the connection between science, and religions?
Hmmm... (putting my thinking cap on)... The only connection that I can think of is that they both consist of "theories", ideas, or speculation until some kind of proof (acceptable to the student) is presented. Once that "proof" is presented, then it moves into the realm of accepted "fact".

However, not wanting to nit-pick, but there are a number of similarities between science and religion.

Firstly, there is sometimes lots of "faith" (by that, I mean "unsubstantiated belief") expressed in (as yet) unproven scientific theories by the proponent and their students. This is necessary, I think, in order to get the theory investigated. It would be very difficult, I think, to investigate something objectively if I did not have any faith that it, at least, might be true. This is the same for religion, of course - the person must have "faith" that it might be true to enable them to objectively examine the evidence, otherwise, it becomes a matter of simply trying to "disprove" the religion, rather than objective investigation.

Secondly, both science and religion are, to a large degree somewhat "abstract" in the minds of many. Most people on this planet will go through life never caring about quantum mechanics or the theory of evolution or any other myriad of theories that exist within the scientific community. These things are not relevant to everyday, human existence. Likewise with religion - most people don't really care whether Jesus was man, god or god-man, whether Bhudda really moved on to a higher plain or just died. They simply either believe it or not. Most of the time, religious people simply believe in something that helps them make life more tolerable.

Thirdly, both scientific and religious theory are, in their early stages, based upon speculation based upon the works of others who have come before. The foundations are, in almost every case, laid by a number of previous theories, beliefs or "faiths" and are buit upon by the scholars of today. Again, that is quite irrelevant to most people who don't care that for every one religion or scientific theory that exists today, there were probably a hundred before it that have either been proved wrong, or have been forgotten about. The possible fact that the religions/theories of today are built on the foundations of other religions/theories (some true, some false) is not important to the majority of people using them.

John