I'm not quite sure if Tai Chi can be used for everything, but that perhaps says more about my lower level of gong fu more than anything else.
On the other hand, even with my limited exposure to Tai Chi and Taoism, I can clearly see that the core (philosophical) principles (Taoist thought) that Tai Chi was supposedly developed along the lines of, are more than applicable to life in general (and thinking thereof).
Modern human thought/behavior appears to consists of, at one extreme, the following process (let's call it the active extreme). We observe our universe such that we could extract the essence of our observations and then model a set of axioms based on these observations. Once we have this model, we logically reason using the axioms of this model and draw conclusions, whenever we come upon observations that we believe to be interpretable in the context of this aforementioned model. This of course is a time and energy consuming process. With a certain amount of rigor applied to this process, we arrive at the so called pinnacle of modern thought processes - the scientific method.
On the other extreme (let's call it the passive extreme), we "react blindly", based on our own past experiences (common, social, traumatic etc.) or biases that are "programmed" into our neurology, based on the experiences of our ancestors and the environments they were subjected to. This process is often much quicker and much less energy consuming than the active extreme.
Yet, in any given situation, whenever we adhere to any one of these extremes, we run the risk of our behavior/conclusions being irrelevant (or even down right ridiculous) as there are many inherent problems to each of these extremes.
The main problem with the active extreme is the underlying uncertainty (makes modeling difficult and makes it prone to limitations implied by a narrow context) and complexity in our observable universe (makes reasoning difficult). Therefore whatever conclusions we come to have a very real probability of being incorrect. This is nicely captured by "there is two sides to the story" or "at the time, it looked like it was going to rain".
The main problem with the passive extreme is that as we don't really have a clear model, it is very hard to determine the applicability of a given reaction to the circumstances at hand. There's numerous cognitive biases documented and if we don't want to go that far, think about how many times we have, in our lives, had emotional reactions that seem completely irrational in retrospect.
So perhaps, like we do in Tai Chi:
Accept the opponent, follow, stick, listen, be light -> Don't be rigid in the active extreme and allow our model to be malleable. Maintain an open mind and let new information update your model thus increasing it's relevance. Always stick to the current reality, not what you decided was reality based on previous information that was available when you made that decision. Accept what you do not know (no one can know their opponent 100%).
Do not create elaborate postures/movements (externally). Allow movements and postures to be the manifestation of your (simple) internals in response to the opponents actions -> Don't create models of too high complexity that are rigid, elaborate and closed. Maintain simple, open, receptive models that can reach the right conclusions effortlessly based on any applicable input.
Maintain your root, do not be controlled by your opponent or your own ego -> Do not react, do not exercise the passive extreme.
Yin and Yang in balance -> Strike a balance between observation and reasoning. Analysis and action.
Create action through inaction -> Your actions follow the least resistant path at any given point in time such that it appears that you're doing nothing. Yet you're doing what makes sense at any given point in time.
Curiously, you find different ideas expressing the same phenomenon at the foundation of many religious/philosophical disciplines, ranging from "accepting god's will", "surrender completely unto god", "accept the eight noble truths of the universe", "become one with nature" to "let go of everything and hold on to nothing".
Perhaps this was a terrible articulation of my realization, but then again, that is the nature of realizations I suppose. Forgive me for my rather dismal articulation. Hope this was a sufficient approximation
Any thoughts are always welcome!