You still haven't told me how to distinguish the immaterial from the imaginary.
So far it appears that you can't. If so, it follows that when you say there's such a distinction, you mean you wish there was, not that there actually is.
If you read the link I gave you and pursue your enquiries from there, you'll find all the net can tell you. Normally that would be my job, but as I said, I don't believe you have any inclination to be persuaded, and that being the case, you can do your own homework or not, as you please.
I'm inclined to argue with parts of the section titled "Providing assumptions required for science". I'd say the actual assumptions are (a) that a world exists external to the self (b) that our senses are capable of informing us of that world and (c) that reason is a valid tool. We also need to agree that truth ─ accurate and plain statements about reality ─ is highly desirable. From those we can derive arguments supporting the use of empiricism and induction as methods, and from empiricism and induction we can justify ideas such as the existence of at least some consistencies in the way physical entities interact ('laws of nature') ─ always alert for exceptions.
The justification for science will always be, not that it possesses absolute truths, but that it works better than any known alternative when it comes to describing reality and as a place to stand when we seek to explain it.
I will use your better versus a stone.
I will start with the stone. I can hold it. I can strike it with certain other things and together it will produce sound. There is a lot human as physical interactions, I do with the stone. The physical make-up of the stone can be tested and instruments can be applied to the stone. These instruments are calibrated to scientific measurement standards.
I can't do that with better. Better is immaterial and it is something, you imagine, because it is not real. It is not an real objective thing.
It is that simple.
You can't distinguish the immaterial and imagined, because they are in both cases only in your mind. Something immaterial is imagined and so in reverse. Yet better is real to you, right. Well, so is God to me.
They are both in the mind and nowhere else as far as I can tell.
You believe in a material world and yet you use words like better, which are immaterial and imagined.
You can't with evidence show better.