jwpretd, what if I told you that I invented a fractional aiming system that only involved two hits...a half ball hit and a quarter ball hit. I claim that I can make any shot on the table simply by choosing one of those two hits. ...
Now, how exactly would you go about determining whether my claims are true? Do you think they are true? Can they possibly be true, despite all my "data"?
Well, you've shown yourself in the past to be an intelligent and intellectually honest person, so I'd afford you the same consideration I feel is due to anyone else. You didn't mention anything about methodology. Absent a methodology, I'd probably just shrug, think "Well, too bad he didn't tell us how it's done.", open another Anchor Steam, and go about something more interesting. Assuming there is one, I'd attempt to test it as best I could. I would carefully study the DVDs you mentioned to see if I could determine how, in spite of the seeming impossibility of your claim, the balls went in the pockets. If my tests failed, and I couldn't find the reason in the DVDs or the writings of yourself and your students, then I'd present my questions to you directly; which, obviously, you could answer in any way that you pleased, or not at all. If, after what I felt to be a thorough attempt to understand your system, I didn't achieve the results you did, then I'd go do something else. I might (or might not) post something that said roughly "I really tried to learn this - took lessons from jsp and everything. I don't get the results he and others claim, so perhaps this system isn't for everyone."
What I sincerely hope I would not do is publicly deride you, or your adherents who make similar claims, and certainly not without having made a thorough good faith effort to understand what was really going on.
As for your second question, I would agree that on the surface it doesn't look like your system should work. However, as you claim it does work, see my first paragraph above.
Regarding the third question, I may be misreading it as I don't understand it. The word "despite" doesn't seem to me to fit there.
John, I think you're overcomplicating it. My response would be far simpler. Fact -- a half-ball hit produces a cut of 30 degrees and a quarter-ball hit produces a cut of about 49 degrees. Fact -- so the two-hit "system," if performed precisely, is capable of only 2 cut angles to the left and 2 cut angles to the right. Fact -- far more cut angles than that are needed to pocket all shots. Conclusion -- claims that the 2-angle system is geometrically perfect for all shots are false. Testimonials of great success using the 2-angle system mean that the users are doing something outside the basic prescription of the system; let's call it adjustments, or feel, or visual intelligence. Sound familiar?