This is yet again several paragraphs of nonsense, and it's clear you really don't have anything but some kind of quasi-philosophical argument here. Which is fine, but if you want to argue philosophy or faith there are other boards to do that in.
You have danced around the issue long enough to prove that whatever this non-evidence thing you are talking about is, doesn't actually exist and you aren't going to ever explain it.
Science makes cell phones, airplanes and the internet that lets you debate with people all around the world. You can claim it doesn't work or is flawed or can't prove this or that all you want, but it's a silly argument since everything around you is proof that it works just fine.
Come back when you actually have an actual example of something and not just... whatever that was.
This is where I feared we would end up. You are asking a question, but hold to a framework where that question cannot be answered. You ask for a basis other than evidence that can be used to arrive at a conclusion, but decide any examples are 'quasi philosophical' and thus should be ignored, no matter what merit to them is shown. The question has an answer, but you hold to a framework where the question must not be answered. if there is any circular reasoning in this thread, there is that.
Science suffices in many instances, but as I have pointed out, the foundation of science cannot be evidence. Until you are able to show that an evidence-based system can somehow support itself without being circular, than the existence of non-evidence based foundations must necessarily exist. It isn't silly, it isn't nonsense, it may be 'philosophical' but that does not make it wrong.
And this is the only example that you would accept. Let us not forget that. I could listen dozens of truths about the world, but the problem is
if the support for them was not evidence, then you would not consider them truths. Do you deny that? Either it would be something with limited practical ramifications, that you would decide is useless, or it is something with many practical ramifications, and so you would claim that those practical illustrations, that evidence, was the original basis.
Which is why this philosophy is necessary. It is a fact that must be faced if you are to champion evidence. Do so, by all means, but you cannot if you do not also accept the fact that pure reason must necessarily come before evidence.
Or, to simplify:
1. The evidence-based system works.
2. Using evidence to demonstrate that the evidence-based system works is to presuppose the success of the evidence-based system, and thus engage in flawed circular reasoning.
3. Either the evidence-based system does not work (A), or the foundation of it is non-evidential (B).
4. A contradicts 1.
Thus, non-evidential means give us valuable insights as to how the world works. QED.
I fail to see how you can claim I am not explaining it. I have presented it several times. I do not present it as though it fits into an evidence-based framework, because by definition that is not what we are talking about. Do not reject it simply because it is different. If you believe there is a flaw, you are welcome to search, but wiser men than both of us have tried and failed.
When you can face up to and accept that, then we can discuss other consequences. If you cannot even accept how we rely on evidence, I could not even begin to discuss deeper consequences. This is not 'trolling,' this is a well-established field, and this is the bare basics of it.