Again, you are referencing "feelings" with such notions as: Reason, Life, Science, and Math. None of which are observed phenomenon. And all apparently are, for you, "feelings."
I'm not the one hiding from this, nor denying it. I believe you exist, as aspect of nature, as do I. Believe me, the notion of solipsism is very familiar to me. But, where I might differ from how you are using the word, is my concept of Self. I don't see me as creating you, nor you creating me. I see it as Creator within "us" and we are extensions of "this."
Furthermore, this can be substantiated from within. I have done so. I am willing to provide whatever method, tests (so to speak), and conclusions I have as result of what I know to be demonstrative. Yet, best advice I can provide before considering my findings is "earnestly go within" as if science can / does include this. Allow for all the leeways, sense of patience, years of understanding you do with 'outer' science, and I believe substantiation in way that works for you and is clear to you will occur. I don't 'think' it might occur, I know it will. My findings, in hands of incessant skeptic / critic, may be not be something that produces 'reason to even try.' Then again it might. But to lack moral conviction to do it yourself, because of something akin to fear of being delusion is absurd, precisely when you recognize just how delusional it is to do outward science.
Where Life is met with desire to intelligently explore (seek) concepts and things, the basis of Reason will always be (inward or outward) interdependent on Faith.
(Hey, my new signature line)