You might have missed (or intentionally omitted) that belief is to accept something as true...(especially without evidence):
Especially isn't even close to exclusively. When dealing with belief in the more philosophical context that you would have to be for the purposes of what you're doing, it's neutral, at base, as has been kept fairly clear in my usage and the points actually made.
Simply, one can do science absent belief.
Belief is a paradigm... (yes,
a paradigm is a pattern, and life is patterns)
Contrafactual assertion does not constitute evidence. "Belief" fundamentally cannot be a paradigm, though paradigms are sets of specific beliefs, very much including the paradigm that you're trying to push.
Belief is a paradigm that opposes science, as it can include non-science.
That is no more true and meaningful than the claim "Red is a shade of red that opposes crimson, as it can include non-crimson." Belief is not a paradigm in the first place and trying to claim it inherently opposes science simply because some beliefs are not scientific is completely fallacious.
Non-beliefism designates that one lacks belief in all things. (and instead observe the scientific method as valid, a method that by definition, is opposed to the concept of belief)
Except that the scientific method is not opposed to the concept of belief and your insistence that it is opposed is farcical. It can reasonably be argued to be opposed to some specific beliefs and categories of beliefs, but not belief as a generality.
An unbeliever lacks belief in religions, and particularly observes science as valid.
Well, yet again, you're missing the the not so subtle and extremely important nuance in play and are inserting nonsense. An unbeliever
in your (major) religion very certainly can believe in a religion. Muslims, for example, have been called heathens by a number of Christians for a long, long time. Going further than that, there's nothing about being either a heathen or a more generally unbelieving unbeliever that means that the person observes science to be valid. That's an entirely separate variable, after all, and many, many Christians and Muslims (and the followers of most other religions) accept science to be valid.
Could you explain why you garner/interpret, that non-beliefism rejects the unbeliever?
Where is the irony?
You were the one calling everyone else here a heathen and, given what you've actually said, are quite clearly the one pushing to adopt a science-praising religion. *shrug*
Is science not compatible with the unbeliever's prognosis?
Question inapplicable, given that it was formed based on false premises.
Why do your thought cycles produce the above error (highlighted in yellow)?
That you've reflexively identified my thoughts as an error while clearly not actually paying attention to what's said is not valid evidence that an error actually was made. That you are being shown to be employing quite fallacious arguments and false premises serves as pretty strong evidence that the error is in your thought cycles, on the other hand.