Yes, surprisingly enough, the Yang 10 essences are part of Chen, or rather it is the other way about. The Chens produced (or rather owned) "The Mental Elucidation of the 13 Postures". Yang took these and amalgamated a couple to make his 10 Essences. But they are all there. Which of course covers your second point about consistency of postures between the families.
Well actually, my second point consisted of multiple types of consistency of which one of them was interpretation. That Yang essences modified the thirteen, which means some kind of incompatibility between what the Chens thought and what the Yang's thought the principles mean.
And then, there's also the other family styles.
Which members of which family stated that the other was doing bad taiji? Statements like that need source.
I wasn't talking about specific ones. But that Yang-Chen politics seem to have gained an infamous reputation in some circles. And I suspect that no one from either family will publicly state anything of that nature. A thought experiment that tries to get them to work together on a "new taiji" (not specific to taiji, but within other schismed disciplines like Catholics and Protestants working together to get a "new Christianity") easily shows the potential for disagreement.
I don't know what "Chen fajin" is. Fa Jin is Fa Jin. The translation is "to issue energy". The Yang Traditional form is full of Fa Jin. Not as overt as in Chen. Yang Cheng-fu did not remove Fa Jin from his form, he merley hid it within his form. Push hands with a Traditonal Yang Family stylist and you will certainly find their Fa Jin. (The modern Chinese Government forms do not train Fa Jin, but then, neither are they Yang style).
I used "Chen-style fajin" (in that context) as a set of properties. That makes Yang fajin different (in the context I used) because of the differences that you described. I fully understand that Yang has fajin. But I was saying that there must be some philosophical differences between Yang and Chen that made Yang-style develop into something more subtle than Chen. And those differences (along with other possible ones) can make one "bad taiji" in terms of the other (not that either side will publicly start the fight).
And now finally to clear up a couple of points. I did not critise you personally, I was criticising Statistics as I thought I had made clear in my tongue in cheek post about the 3 "facts" of statistical analysis.
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I'm sorry if you felt my responses were personal, but I'm sure you will suffer much worse than that over the years of your life.
You criticised statistics. Then I criticised your criticism as not accurately portraying statistics but more like portraying people's general misconceptions about statistics (which I still stand by). Then you criticised my criticism by using the ad hominem fallacy of labelling my education in statistics as "High School" level, among other things. That makes it ad hominem because you made the argument that "X made statement A, but possessed the less-than-desirable quality of X', therefore the statement A is wrong/inaccurate".
I don't know any latin, but the area of logical fallacy regarding ad hominem is exactly how I describe. There is a common misconception that ad hominem is simply any personal attack, but it's use in logic is specifically for an personal attack that implies an inaccuracy by the attacked. Therefore my point was not that I was personally attacked, but that I was personally attacked in order to have my actual arguments ignored.
However I will continue to address such points as I think are falacious when they are expressed on a public discussion board.
Very best wishes
What a coincidence! Addressing fallacious points was why I joined the discussion in the first place.