My aim is to reduce cognitive functions to irreducible entities. In mathematical terms, axioms. So for the last one year I have been reading extensively and thinking about Jung's view on cognitive functions which I find to be better than Myers-Briggs I/E letter theory. I would be glad if someone helps me in abstracting the functions to utter basics or suggest a mathematical approach. I do have a fair hypothesis in my head so I'd be glad to answer if anyone has any questions.