And INTPs are the one type that seems to prove the exception to the “no-Fe, no-P†rule.
I don't find Fe problematic in INTPs; in fact, we can often bond over annoyance with Fe in others, most specifically in ESFJs.... As I age, ESFJs rub me the wrong way less & less though. My arch nemesis remains the ESTJ....
For some unknown reason, ENTPs & ISTPs are the xxTPs which repel me, while I usually gel initially with INTPs & ESTPs (but may have a "falling out" later down the line).
I do wonder how much the "role" of the function-attitude comes into play, but I don't buy the socionics theory about it (the function-attitudes, aka cognitive processes, are defined VERY differently from Jung's descriptions, IMO). The Berens/Beebes models don't seem to deal with intertype relations much, not to my knowledge anyway (which is limited). I lean towards my grasp of Jung's basic idea that beyond your dominant & aux, more than 1 function-attitude can be inferior & these are basically relegated to a realm where they are undifferentiated from things like memories & emotions, so much so perhaps that these functions don't even have an attitude (ie. an INFP may simply be Fi-Ne-S-Te, with "sensing" not being differentiated enough to have an attitude. This really supports "loop" theories, where Si would manifest as "attached" to emotions influencing Fi reasoning, and sometimes tertiary S could look Se-ish or appear inferior but not antagonistic like a Ni-dom's Se. ). Only the opposing function-attitude to your dominant may have a clear attitude, mainly because it's not able to co-exist with your dominant as the aux is. So you become aware of it at times, whereas the other inferior & undifferentiated functions are harder to pick out & define. This means that Si, Se, Ti, Ni & Fe in an INFP could be nearly equal in influence on the mind, as they may be undifferentiated with no specific, defined role. If you look at Nardi's data, this seems somewhat accurate. The INFP shows Te thinking, but not Si very much. The main thinking is associated with Fi & Ne areas, with some Te areas, but used quite differently from a xxTJ. This sort of suggests the tert may have no attitude, just being an undifferentiated inferior.
To tie loosely into the above about INTPs, this means they may be more aware of their Feeling, as it may be more defined in their mind in the opposing role to the dominant; whereas an ENTP's Feeling would be undifferentiated, & perhaps this makes them colder/less aware of valuation in their mind, which of course is unappealing to a Fi-dom. However, an ISTP lacks Ne, making them less easy to bond with, but an ESTP is less conflicting being S-dom (which is not opposing to anything in an INFP). Something like that.... I'm thinking outloud a lot in my posts today, but where else can I muse on personality theory

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