No, rather in Socionics, each function has a unique disposition. There is less mathematical reasoning of functions and simply more definition.
I would respectfully disagree but I'm not exactly sure of what you're trying to say. Function in Socionics refers to the order of preference (e.g. Leading function, Creative function etc.) while Information element refers to the 'objective' mental processes (e.g. Ti, Se etc.). I'll assume you're using the MBTI definition of function but apologise in advance if this is not the case
Mathematical reasoning? Are we looking for formulas? I'm not sure if I've ever thought about psychology, philosophy or even one's personality in this way before (if L = love received and S = self-worth then...

). Socionic's premise is that everyone uses every information element, but with a greater or lesser proficiency. Proficiency with a certain element automatically determines how you other connected elements.
For example, as an ILE (ENTP) I use my Ne near constantly to imagine unusual possibilities and day dream about the potential of the unknown. Thus when it comes to using Se (which is in direct competition with Ne) I find it very difficult to get things finished
just because they need to be, finding myself procrastinating and going off and doing something else less rigid (curse you Se!

). For me this a perfect illustration of formal logic and its where Socionics really shines.
There is no order of usage, rather implied when one doesn't use the first function, he uses the third. One is pleased by the fifth and one realizes problems with the sixth function. One supposedly creates and reflects with their second. Conceptual yet nominal.
Lies! Slander!

Socionics is all about preference of usage and how each Function makes up a distinct part of our personality. Its not really as simple as 1st trumps 3rd, or that any Function can be summed up in one word (they're mere labels). The interweb decrees it! (If you're interested check it out here
Functions - Wikisocion)
While in Socionics:
SEI/ISFp = Si, Fe, Ti, Ne
ESI/ISFj = Fi, Se, Ni, Te
Technically the order they try to give is
SEI/ISFp = Si, Fe, Ni, Te
ESI/ISFj = Fi, Se, Ti, Ne
But I'm no socionicist
Whoops! My bad

(one hasty edit later) I mixed up the 5th and 6th functions, please don't sacrifice me to your god

Didn't really want to get into this one, but as stated earlier Socionics considers all eight Information Elements relevant to one's type. However, for simplicity and brevity, standard notation is to list the Ego functions (1st, 2nd) followed by Super-Id functions (5th, 6th).
I believe Socionics is quite limited in the knowledge that every type is incompletely conceivable. It is designed for those who can't accept truth thus rather accept some personal understanding.
Pretentious much? Got a pamphlet and a place to sign up so I can receive this 'truth'? Nah, I'm just joshing you
There is no proof of negative connotation which is why I am not omitting it, but I'd rather not spend time studying what I think as useless at this moment.
Go you double negative! Whatever floats your boat

I am happy to let others reach their own conclusions and enjoy life to their own choosing. Mahalo.
What I really think the socionicists are doing ineffectively is defining sixteen types out of say a hundred possible types, and expecting people to fit into one of them. They're setting themselves up for future complication, and more inevitably a lack of feedback.
Are we talking about MBTI or Socionics (or both)? Secretly though, I share your concern with this criminal lack of efficiency and yet nobody takes me seriously! Well, we'll see who they come running to when their world falls apart...
Soon most people will begin to realize how similar all the functions are to one another, and that the socionicists are just rewriting profiles without any validity of structure.
Viva La Revolucion!
I think the great thing about MBTI and Socionics is that they in fact show how similar we are all are. By analyzing the small differences between us we can learn that though someone may think differently from you, we are all essential human
Though, keep the conversations rolling. I don't mind listening.
Your munificence knows no bounds
