Did Big Brother doublethink?

As Orwell defined it, doublethinking means accepting two seemingly contradictory beliefs. But here I am going to use it as a synonym for thinking doubly, which is simple way of saying you have more than one parallel flow of thoughts going on at the same time.

This is something we all do, for example, when walking and thinking about the weather. Walking also requires thinking, but we perform it unconsciously, thus it does not usually hinder our conscious thoughts in any ways.
Nonetheless, here I refer to consciously doublethinking. Thinking about philosophy while thinking where you are and what you are doing, that is, being conscious of yourself and your environment while you dwelve into complex concepts.

I used to do this alternately (and naturally), so for some seconds I opened the tap of philosophy and for some others, the one of self-analysis. It worked pretty well, and the streams complemented. Though lately I have been exploring the possibility of thinking both currents at the same time. I am still unsure whether I am doing it, or just switching from one to the other faster than before. Still, I have come to the conclusion that a parallel process of thoughts wholly dedicated to analyze, criticize and correct your “main” current of thoughts is a great advancement for any thinker. This I also consider the basic tool for defining one’s personality, by consciously choosing some of its aspects, so that they match the ideals you believe on.
I would like this to be an open thread and start a discussion, so please feel free to leave your opinion, which I would very much appreciate!

More questions:
Do you practice this doublethinking?
Which is the maximum number of parallel thinking streams someone could hold? (keeping the integrity of each and one of them)

By the way, Big Brother didn’t doublething, they doubleexisted.