Overarithmeticking: Understanding Overthinking Through Mathematical Analogies

Overthinking is like solving a mathematical expression where we have an expression that is a polynomial, with multiple variables and constants. However, the fact is that we are not aware of all the constants and variables in the equation. We try to find the solution of the equation by putting random values in the equation and getting iterative outputs of the equations, which sometimes lead to happiness and sadness.

The fact is that unless and until one is aware of all the variables in the problem, one should ask questions and be eager to know about the properties of the variables. Then add them to the appropriate side of the equation to get a generic solution or a definitive solution. Just like in mathematics, the best way to solve an overthinking problem is to gather as much information as possible. This means being aware of all the variables involved in the problem, understanding their properties, and asking questions when we are not sure of something. Once we have a better understanding of the problem, we can start to develop a more accurate solution.

“Thinking ignites the flames of both innovation and destruction,
but it is guidance that steers us towards our destined horizon.” — Anuj Nagar

The Iterative Process:

There are various different types of overthinkers. One type is the Pre-Thinker. In this case, the person thinks a lot before taking any steps and generates different types of scenarios based on their previous experiences. For example, if someone is traveling, they will sit and think about the mistakes they made earlier and use that knowledge to proceed with packing. That is good because here the person knows the process and the outcome.

However, there may come situations, like meeting someone, buying something, trusting someone, in which you don’t know the resultant product or outcome of the encounter, nor the behavior of the person. So here you are thinking against your natural powers, which is not an ideal situation. You can’t judge a product or person based on your past experiences; this leads to unintended expectations. The universal truth is that “expectations always hurt.” Pre-thinking the situation and acting according to that is only helpful when the situation is static, like bag packing where you are aware, but you must not assume about the place you are visiting. It may rain, it may be sunny, it may be cloudy; no one knows what nature has planned for us. Being prepared is part of smart planning.

The other type is the Post-Thinker. In this case, the person thinks a lot after taking some actions and visualizing the consequences of the situation, assuming the outcomes. For example, if a person made an error while handling a task, they will spend their whole day assuming the situation and what will happen next, even though decision making is not in their hands. Also, sometimes individuals spend time thinking about what they could have done better in that situation, making many assumptions and iterations in their brain, leading to nightmares sometimes. This is just a very brief idea I want to convey about Post-Thinkers. In this overthinking process, we try to formulate different scenarios irrespective of our control over the scene.

The Role of Awareness and Seeking Clarity:

To be aware of the properties of the variables that we are dealing with in the mathematical equation — like angles, complex numbers, rational numbers, constants — we need to take care while analyzing the situation. Can I solve the problem just by thinking and sitting in this place? Is the solution dependent upon the complexities within my grasp? Will external information impact the outcome of the solution I am thinking about or analyzing? Can someone else help me provide a better solution? Answer these questions to get a clear picture of what you really want to think about and then think accordingly.

Embracing the Bright Side of Overthinking:

If you are well-formulated in the thought process and the structure of ideas, if you jot them down with full awareness of your thoughts and control the flow of ideas by asking perfect questions, you will lead to the most constructive ideas, innovations, and inventions sometimes. This can be incredibly advantageous, especially in fields such as problem-solving, critical thinking, and decision-making, where a more profound grasp of details can lead to innovative solutions.

Overthinking often involves considering various angles and perspectives, allowing for creative connections to be made between seemingly unrelated concepts. This ability to cross-pollinate ideas from different domains can foster innovation and lead to the development of groundbreaking solutions or artistic expressions.

Engaging in overthinking can be an avenue for personal growth and self-awareness. The introspection that accompanies this process can lead to insights about one’s motivations, fears, and desires. Over time, this self-discovery can contribute to improved emotional intelligence and a deeper understanding of oneself.

Individuals prone to overthinking often display a keen eye for detail. This attention to minutiae can be advantageous in fields that demand precision, such as scientific research, engineering, or creative writing. Overthinkers’ ability to catch nuances that others might overlook can contribute to the quality and excellence of their work.

Overthinking often involves envisioning multiple scenarios and outcomes. While this can be overwhelming, it also means that overthinkers are more likely to be prepared for a range of possibilities. This skill is particularly valuable in roles that require contingency planning, risk assessment, and strategizing.

The propensity to ruminate on different aspects of a situation can make overthinkers more empathetic and understanding. They are more inclined to consider various perspectives, leading to improved communication and the ability to relate to diverse groups of people.

While overthinking can lead to decision-making paralysis, it can also lead to well-informed choices. Overthinkers tend to gather a wealth of information before planning, reducing the likelihood of impulsive or uninformed choices.

Let us explore some definitive ways to control the flow of thoughts:

To arrive at a definitive solution or a more generic outlook, individuals should employ strategies that align with mathematical problem-solving principles:

Define Your Objective: Clearly outline the problem you are trying to solve or the decision you need to make. This clarity serves as the equivalent of defining the equation you’re attempting to solve.

Identify Knowns and Unknowns: Just as in math, recognize the variables you know and those you’re uncertain about. This helps direct your focus to the aspects that require further exploration.

Break Down Complexity: Divide the problem into smaller components, making it easier to analyze and address. This step mimics the process of factoring or simplifying equations in math.

Incorporate External Inputs: Similar to seeking guidance from experts or references in mathematics, involve others to gain new perspectives and insights.

Embrace Imperfection: Accept that not all variables can be determined, and not all outcomes can be predicted. Just as in math, where some equations have no closed-form solutions, some life situations may remain uncertain.

Overthinking can be a difficult habit to break, but it is possible. By following these tips, you can learn to control your thoughts and manage your anxiety.

“Allow your thoughts to cascade like a stream, merging harmoniously into the vast ocean of contemplation, avoiding the stagnation of a pond that hinders the flow of profound reflection.” — Anuj Nagar

Amidst the realm where thoughts doth roam,
A mathematical expression finds its home,
A polynomial tapestry, variables untamed,
In equations of life, their dance proclaimed.

Constants and unknowns, they intertwine,
Nature’s intricate pattern, so divine,
Yet, unaware we tread this winding way,
Like clouds that shift, emotions do sway.

With hearts as vessels, we venture in,
Seeking solutions, our minds begin,
To put random values, like stars in the night,
Iterative musings, weaving emotions’ light.

Joy and sorrow, like Nature’s song,
Alternate notes, where feelings belong,
In the quiet of contemplation’s embrace,
Overthinking unveils life’s delicate grace.

Oh, intricate dance of thoughts untold,
In mysteries vast, our minds unfold,
In every iteration, a chance to perceive,
The beauty of life, the web we weave.

As Wordsworth wandered in Nature’s embrace,
I ponder overthought, a similar space,
The complex equations of heart and mind,
In the symphony of thoughts, our souls entwined.

This ARTICLE is not to define what you should think; it’s just to know HOW to think and WHY to think!

We are all aware of the problems and solutions in the back of our minds. We just need someone to listen and to talk.

Please mention your views and comments that will help others as well as help me understand the readers.