Introduction: The First Shock and Its Aftermath

I now find myself merely smiling at the things that once occupied my mind and kept me awake at night. Although I don't see this state of "being used to it" as a complete erasure, I can now rest my head on the pillow and sleep peacefully. Throughout our lives, we encounter countless stimuli. A piece of news heard for the first time, an event we witness, or a harsh experience creates a deep tremor in our minds. This initial reaction is intense, filled with the purest, most unfiltered emotions like surprise, anger, or fear. However, over time, as we are repeatedly exposed to the same or similar cycles, we notice that this initial impact loses its power and fades. Is this process of erosion, which we call "desensitization," merely a psychological surrender, or is it part of a flawless mathematical order operating within our minds?

The Mathematical Model of Desensitization

As a mathematician, I am inclined to interpret events through systems and algorithms. We can liken the human mind and the process of desensitization to a kind of "exponential decay" curve. You can think of this concept of decay like the waves created by a stone thrown into water, which lose their energy and gradually fade as they approach the shore. Let's consider the most powerful shock from the initial stimulus as $E_0$. Every similar event we experience, each repetition ($n$), causes this effect to decrease by a certain rate ($k$). The mathematical expression of this model is quite clear:

$E(n) = E_0 e^{-kn}$

In this model, $E(n)$ represents the magnitude of the effect remaining within us after the $n$-th exposure. The formula tells us this: each repetition creates a weaker wave than the one before, and the effect asymptotically approaches zero over time. So, what does it mean to "approach asymptotically"? In geometry, an asymptote is an invisible boundary line that a curve approaches infinitely but never actually touches. This means the effect of the initial shock is never completely reset to zero within us, but it diminishes over time to a point where it is no longer felt or responded to. In my mind, too, there is an asymptote that brings the effect of events close to zero but never allows it to cross that final, invisible boundary. However, this limit is not a surrender but a protective instinct that prevents me from dissolving into the intensity of that emotion.

The Psychological Shield and the Loss of Empathy

Reaching a point where, after experiencing similar situations repeatedly, one says, "This is just how things are," reflects the psychological mechanism behind the mathematical model: the will to survive. Living in a constant state of alarm and reacting to every event with the same initial intensity is not a sustainable load for a system—namely, our brain. To conserve its own resources, the mind labels recurring problems as "manageable." However, this perfect protective shield comes at a heavy price: the loss of empathy. As we protect ourselves from external stimuli, we also become numb to the suffering around us and the experiences of others. The system begins to suspend its connections with the outside world in the name of self-preservation.

Breaking the Cycle: Awareness and an External Perspective

While inside this cycle of unresponsiveness, it becomes necessary to intervene in the system, to apply a kind of "patch" to preserve the core of our humanity. For me, the most practical solution to cut off this path to empathy loss is to rebuild this emotion not through my own experiences, but through those of others. Watching something, listening, and commenting as an outside observer... To truly understand the person in front of us, we must put ourselves in their shoes in the story they tell. Interestingly, building this bridge of empathy through others' stories is often easier than doing so while grappling with our own problems. Although we cannot stop the exponential decay within ourselves, we can keep that human connection alive by becoming part of others' equations.

Conclusion: The Balance of Protection and Connection

Both mathematical principles and our own internal observations show that desensitization is a natural, predictable, and protective process. However, the inevitability of this process does not require us to become completely lost in it. Even as the erosive touch of time and repetition pulls our minds toward an asymptote—that untouchable limit—we can reignite the spark of that initial impact by finding a place for ourselves in the stories of others.