You didn't ask a question (was there a question mark in your post that I missed?). You did, however, make an assertion which I corrected.
In an honest, respectful discussion that would occasion a response along the lines of either: "Ah, I didn't think about it like that. Let me see about adjusting the line of my reasoning," or, "No, your correction is invalid because..."
In an honest, respectful discussion that would occasion a response along the lines of either: "Ah, I didn't think about it like that. Let me see about adjusting the line of my reasoning," or, "No, your correction is invalid because..."