But one could (somehow) believe that it is intrinsic that burritos should be loved, i think that is what they mean. I think it stems from the idea that humans nearly all like some kind of food, and nearly all like sex, and people think there is something underneath that that is universal. But i think that is the realism side of the story, and i do not believe that. (some things people among humans like are very common, though)
Thanks for explaining the wording, yes it helps. How does this work in "An irreducible primary that is logically undeniable"? Your definition of 'primary' seems to relate to importance. I think something like "not derived from or reducible to something else; basic; "a primary instinct"" from googling define primary would be closer. Does it in this context mean something like that the axiom should not have stuff on it it does not need?

Perhaps i should try an axiom defining spree: An Axiom is any assumption that can not be split into two axioms that are together equivalent.(single clause) (and therefor cannot contradict itself, nor can any part of it be derived from another part)
A set of axioms is "reasonable" if:
- None contradict each other
- None can be derived from each other.
It might be very hard to prove these properties, so maybe we should criticizing by disproving rather then demanding proof? (how about the definition itself is it agreeable?)
So we are not even allowed to talk about them? Understanding people with axioms we consider bad may help use convince them to those we consider good. But then again, maybe we are wrong ourselves, maybe there is an axiom that is better then we are considering. (What axioms do you chose? You still think those three are the only ones possible? What about the ethics-axioms?)
Sorry for the ESL problems. I tried to find some sarcasm modules, but could only find proprietary ones.)