First and foremost, congratulations to Matt on accomplishing all the important goals ... a good internship and acceptance to Grad School. Fingers crossed now for the permanent position.
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> Secondly, as far as I'm concerned, there is absolutely nothing for you to apologize for! The more ideas and theories you come up with, the more there is for us all to think about. There are in fact far more grounds for me to apologize to you because I'm not able to think on your mathematical wavelength. I just hope my subjective responses may still be useful, which is all that any of us can offer ... to consider ideas, test them, and exchange our observations, experiences and arguments. I must confess, though, that I do worry sometimes that the process may "alienate", as you've put it. I know that's not your intention, and it's not mine either, but I fear that sometimes my scepticism may have precisely that effect, for instance on your friend Frank. It's always a difficult balance between questioning what appear to be flaws in an argument and at the same time remaining open to the truths that may be contained in that argument. I'll keep trying, and I really appreciate the fact that you are doing the same.-Apologize for not being able to read my brain? I'll consider it a challenge to try and break through that. It might be good to know your comfort level so I know exactly where to target the examples?-You push as hard with you s(k?)epticism as I push with anything else. If we were boxers in a ring, I think neither one of us would want the other to pull punches.