Re the use of the word "belief":
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Yes dark matter is on the minds of those who believe it and equally on the minds of those who dont accept it...mind you most are happy to accept it as reasonable given the observations enlisted in support.
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Alex, I quite enjoy reading your often "contrary" views. When reading the views of, say, an astrologer or a homeopath, I would definitely not enjoy
their contrary views because their views are based on total and utter ignorance and delusion. Your contrary views however display thought and insight. Not saying that I necessarily always agree with your views, but I can at least see that you have put some fair thought into them.
Without someone like yourself here, this forum would be much less interesting.
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EG...I know black holes exist because I have read all Steven Hawking has written and I "believe" him. I have no idea as to the science or the sums and I am in effect saying I believe him rather than I believe the science as such....
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My thoughts re belief are that belief is what christians do. Someone who professes to know tells them, "This is how it is because the good book says!" and they believe it simply because the good book or the church said it is so.
So to say that "theory x" is true simply because Stephen Hawking said so is just as silly a thing to do if you have not examined the actual evidence behind the theory he has proposed. This would then put you on a par with christians (or muslims, hindus etc).
On the other hand, it is not for me to argue with Stephen Hawking. If he says it is so, then it is not unreasonable to expect that what he professes to be is, at the very least, a reasonable hypothesis.
Based on the religious model, belief can then be described as blind faith based not on valid evidence but on ignorance and self righteousness.
The scientific approach is to examine evidence etc (don't need to expound the scientific process to almost all of those on this forum). Accepting a theory as valid on the basis that it is elegant, as simple as possible, agrees with observations and is falsifiable is a fair thing to do.
At this point, accepting the theory is not "belief", rather it is an acceptance of observed evidence, although with the rider that future observations may require an adjustment to the theory.
Re: Dark matter
At this point in time, DM is a hypothesis put forward to explain an observation. A pseudo-scientist will say, "This is the theory!" and then search for, or invent evidence to fit the hypothesis and will discard evidence that fails to support the hypothesis. Just google homeopathy for multiple excellent examples of this.
Those who are researching not dark matter but rather the cause of the observation that there appears to be too little observable mass in the universe to explain the speed of rotation (excuse me if I have that wrong

) of galaxies will, if they are good scientists, have their minds open to the possibility that the hypothesis of DM is wrong. Those who are not open to this possibility can only be described as not good scientists.
As I feel you are a "good" scientist, I am sure that you have your mind open to DM being real (and also to push gravity being not real) while still exploring other options.
Proving the existence of something we cannot see is always going to be a problem. That said, there would be few (rational) scientific thinkers who would discount the existence of atoms, electrons etc, even though their sheer lack of size makes it impossible for us to ever actually see them. Despite this inability to see these particles, the massive weight of evidence says that they must exist. Black holes and DM are slightly larger scale versions of things we cannot see and so are very difficult to prove. It appears that the weight of evidence in favour of the existence of black holes makes it extremely likely that they do in fact exist. DM, being a somewhat newer theory has less evidence to back it. Time will tell. Further evidence in favour of DM or against DM will mount and the hypothesis will either move on, with adjustments, to become theory or will need to be totally discarded in favour of a new hypothesis.
Regards
Stuart