Good to talk to you again.
"How's everything going?"
Very well, thank you. I am enjoying life immensely. How about you?
"So, Paul, I think your idealism has some merit."
So do I.
"...now I see that Logic cannot possibly exist without Mind."
I think it is also clear that Mind *can* possibly exist without Logic. There are many suggestions of this from daily life.
" Hence, it seems to me that a certain equivalence relationship exists between Mind and Logic"
Depending on what you mean by the qualifier "certain", I don't think you can draw this conclusion. Mind and Logic are not equivalent since Mind can possibly exist without Logic, but not the reverse.
"...and possibly Matter."
Nor do I think you can make this inference. I think David Chalmers has convincingly demonstrated that Matter *cannot* give rise to Mind. And, as John Wheeler has mused and expressed as "it from bit", it is conceivable that information *can* possibly give rise to matter.
Furthermore, in my opinion, Shannon's notion of information, which Gregory Bateson has summarized as "a difference that makes a difference", is incomplete. First of all "difference" in itself is a concept, and as you point out, concepts require Mind. Secondly neither Bateson nor Shannon talk about to whom or to what it makes a difference. In my opinion, the definition is complete only if you assume a Mind to whom the difference makes a difference. In other words, Mind, at base, is the capacity to know, and information is merely something that the mind can know. Information is a difference which makes a difference to the mind.
"That is, that might very well be the famous Trinity that we've all heard so much about."
I think that is a tortuous stretch for those who would like to believe it.
"Something to consider..."
I just did, and those are my thoughts.