Saturday, November 16, 2024

Life Without Randomness: An Exploration In a Counterfactual World

 

In life, as in a game of poker, the cards are dealt randomly, but how you play them is not random — Unknown

Arun Kumar

Arun Kumar + AI

Summary: Imagine a world devoid of randomness, where the future holds no uncertainties. Would such a place be monotonous and dull? Without randomness and with a complete understanding of causality, would we have missed the opportunity to build the rich superstructures of religious and philosophical traditions?

I get fooled by a 30% chance for rain

As I walk home during my evening stroll, I nervously eye the ominous dark clouds gathering in the sky. The morning forecast had predicted a 30% chance of rain after 3 pm, but I wasn’t sure how to interpret that number and decide whether to bring an umbrella.

I don’t quite know at what probability threshold to carry an umbrella. Or perhaps, at the risk of looking like an overcautious old fart, I should just carry an umbrella as a mitigation strategy and forget about looking up at the chance of rain all together. That would be a workable strategy to circumvent future outcomes that are probabilistic. This strategy, however, is not always feasible, for you see, carrying an umbrella (if you have one), does not cost anything extra. Bur mitigating strategies and accompanying actions can cost an arm and a leg.

Randomness Is Prevalent

In the afternoon, whether it will rain or not is uncertain because its occurrence depends on numerous local and non-local factors in space and time, making it beyond comprehension. Given infinite resources, by tracking every butterfly’s wing flap and every molecule’s motion, we might narrow down the cone of future uncertainty. But is it worth the time and effort?

Without understanding the causality that takes water molecules from their morning meanderings in the air to coalescing into rain clouds by 4 pm over my head, it’s easier to lump the countless hidden factors shaping the future into a convenient concept called the Randomness.

All would be well if the afternoon rain was the only consequence of randomness, a minor hiccup, but the consequences of randomness do not stop there. Everything about the future is uncertain and, in one way or another, attributable to the complexity of invisible forces shaping outcomes that get lumped into the mysterious dark force of randomness.

Randomness Is Stress

The uncertainty about the future is not a good feeling to have. We are always trying to narrow the cone of uncertainty and wishing that we can have a peek into the future. Would it not be wonderful to know what the stock market was going to be one year from now? Knowing that single number be such a huge advantage for our well-being (of course, only if I am the privileged one and no one else knew about it).

Knowing the future, and thereby, minimizing the consequences of randomness has obvious evolutionary advantage to it. It is no wonder we are wired to favor certainty because is good for the notion of the survival of the fittest. Lack of uncertainty is good for keeping stress at bay.

But let us assume that humanity does get its desire. What would be counterfactual world without randomness be like?

A Counterfactual World Without Randomness

Imagine a world where randomness does not exist, where every event and outcome is predetermined by where you start from and a set of immutable laws that propagate them forward. In this counterfactual world, the future is mostly deterministic, and the concept of chance is nothing more than a relic of our imagination. Would such a world be boring and monochromatic, or would it be a realm of unparalleled clarity and understanding. Would it be enjoyable?

In a deterministic universe, every action and reaction follows a predictable path. The state of the universe at any given moment would be an inevitable result of its previous state, governed by unchanging laws of nature.

The Appeal of Clarity

One of the most compelling aspects of a deterministic world is the clarity it offers. Without randomness, the universe operates like a well-oiled machine, where every cog and wheel has a defined purpose and function. This predictability could lead to a deeper understanding of the natural world, as scientists and philosophers could trace every event back to its origin with precision. The principle of sufficient reason, famously articulated by Leibniz, would reign supreme: everything would have an explanation.

In such a world, the mysteries that currently baffle us — what is the chance we exist today, where are we going, what would be the moment of my death — could be unraveled with certainty. This clarity could foster a sense of security and confidence, knowing that the universe is not subject to the whims of chance. Before closing my eyes and calling it a day, I would know for certain that I will wake up tomorrow.

The Risk of Boredom and Monotony

However, the absence of randomness might also strip the world of its vibrancy. Randomness introduces variability and novelty, making life unpredictable and exciting. Without it, every event would be a foregone conclusion, potentially leading to a sense of monotony. The thrill of discovery, the excitement of the unknown, and the joy of serendipitous moments, the joy of occasionally drenched my summer rain, would be lost.

Moreover, human creativity and innovation often thrive on randomness. The unexpected connections and spontaneous ideas that drive artistic and scientific breakthroughs might be stifled in a deterministic world. The richness of human experience, characterized by its unpredictability and diversity, could be diminished.

So, what would we prefer? A state of clarity or a falling into the risk of boredom and monotony. Or perhaps, there is a sweet spot in between with just the right amount of randomness and uncertainty about the future that will dampen the stressful aspects of uncertainty while keeping the interesting parts.

Optimal Level of Randomness

Could there be just the right amount of randomness to keep the anticipation of future feeling us engaged but not too much to get us stressed. If would be like the notion of right amounts of spice in a dish or the pleasure of enjoying a balanced wine.

The balance between clarity and monotony in a deterministic world would, however, be deeply individualistic. Each person might experience and interpret this balance differently, shaped by their unique preferences, values, and outlook on life.

For some, the predictability and order of a deterministic universe could be a source of comfort and satisfaction. These individuals might find joy in the clarity and certainty that such a world offers, appreciating the ability to understand and anticipate every aspect of their existence. The absence of randomness could provide a sense of control and stability, aligning with their desire for a structured and comprehensible reality.

On the other hand, others might feel constrained by the lack of spontaneity and novelty. For these individuals, the excitement of the unknown and the thrill of unexpected discoveries are essential components of a fulfilling life. The predictability of a deterministic world could seem monotonous and stifling, depriving them of the serendipitous moments and creative sparks that make life vibrant and dynamic.

Ultimately, the perception of a world without randomness would vary from person to person. Some might embrace the clarity and order it brings, while others might yearn for the unpredictability and chaos that add color to their lives. This individualistic balance highlights the diverse ways in which people find meaning and satisfaction in their experiences, underscoring the rich tapestry of human existence.

How do you think you would perceive a deterministic world? Would you lean towards appreciating its clarity or the excitement of randomness?

For me, oh well. I would love to know where the S&P 500 will be a year from now, but I will not mind getting drenched in a summer deluge just because the forecast said 30% chance of rain and I decided not to being the umbrella. So much for wishful thinking though.

Ciao, and thanks for reading.

Saturday, November 9, 2024

Infinite Resources, Diversity, and Creativity: The Paradox of When Plenty is Little

 

The secrets of evolution are death and time — the deaths of enormous numbers of life forms that were imperfectly adapted to the environment; and time for a long succession of small mutations — Carl Sagan

Arun Kumar

Arun Kumar + AI

Summary: In a world of infinite resources, there would be no need for competition, and the notion of survival of the fittest would be absent. Consequently, evolution would slow down, leading to a less diverse biosphere. Similarly, if humans were immortal, it could reduce the urgency for innovation, potentially causing societal stagnation.

Resources are Limited

Resources on Earth are limited. Although the Sun provides abundant energy daily and will continue to do so, and this energy has been stored over eons as fossil fuels, the amount of available energy is still finite. This simple constraint has profound implications for evolution.

Biological Evolution in an Infinite Resource Environment

In our world, the finiteness of resources drives the process of natural selection, leading to the mechanism of survival of the fittest. This competition for limited resources has resulted in a diversity of life forms, each adapted to its specific niche.

But what if resources were infinite and there was no need for competition? Can one imagine such a counterfactual world and the evolution of biology in it?

The paradox is that in a world with infinite resources, the driving force behind natural selection would be absent, and the notion of survival of the fittest would be missing. Without the pressure to compete for food, shelter, or mates, organisms would not need to develop specialized adaptations to survive. This could lead to a much less diverse biosphere. Species might evolve more slowly, as there would be no urgency to adapt to changing conditions or to outcompete others for resources. Having plenty might result in stagnation and lack of biological diversity.

Without the need for competition, the concept of “fitness” would be irrelevant. All organisms would have adequate access to resources, leading to a more homogeneous population. Evolution might still occur, driven by random mutations and genetic drift, but the pace and direction of evolution would be vastly different. Organisms that are more efficient and better at conserving their energy would exist alongside those that do not have the necessary traits to do so.

The rich biodiversity of life we see today, with its myriad forms and behaviors, might be replaced by a more uniform, less dynamic, and a less competitive ecosystem.

In another arena of human endeavor where something similar might happen is the fact that our time on this Earth is limited. The fact of our mortality may have shaped our urge and drive for creativity and innovations.

Human Mortality and Creativity

The finite nature of human life has been a significant driver of creativity and innovation. Knowing that our time on Earth is limited, we are motivated to achieve, create, and leave a legacy. Limitation of lime and the pressure to accomplish goals within a finite timeframe spur us to action.

In a counterfactual scenario where humans are immortal and there are no deadlines, the impetus for creativity and innovation might diminish. With infinite time, the urgency to create, discover, and innovate would be greatly reduced. Procrastination could become the norm, as there would always be more time to accomplish tasks. Having plenty of time may result in little.

Human society might become more stagnant, with less frequent innovations and less progress. The drive to solve problems, explore new frontiers, and push the boundaries of knowledge could wane. Art, science, and technology might advance at a much slower pace, as the pressure to innovate would be lessened.

On the other hand, one could argue that immortality could also lead to a deeper exploration of long-term projects and finer pursuits. With no fear of death, humans might undertake endeavors that span centuries, leading to achievements that are currently unimaginable. The focus might shift from short-term gains to long-term sustainability and harmony with the environment. In that counterfactual world we will miss on colorful phrases like “low hanging fruits” or “let us go for some quick wins.”

A difference between the counterfactual world of immortality and counterfactual world of infinite resources is that we have consciousness that gives us a sense of agency that the process of evolution lacks,. Given enough time, we might actually come up with brilliant solutions to social issues that currently plague us. But do not wager on that bet yet.

Ciao, and thanks for reading.

Saturday, November 2, 2024

I attribute therefore I am

 

I prefer to make up my own quotes and attribute them to very smart people, so that I can use them to win arguments — Albert Einstein

Arun Kumar

Arun Kumar + AI

Summary: Attribution is a science that seeks to explain an observable phenomenon by something that may be responsible for it. It attempts to do so by dividing the world in two — a world of observable that is being influenced and a world that is the influencer. Attribution gets progressively challenging as the role of probability in shaping the observable increases.

Attribution refers to the process of identifying the factors responsible for an observed phenomenon. Take the example of epidemiology.

In epidemiology, attribution is the process of determining the cause(s) of a health outcome or disease. This involves identifying and quantifying the factors that contribute to the occurrence of a disease or health condition within a population. For example, attributing lung cancer (the observable phenomenon) to smoking (the cause).

In general, a single factor may not be able to explain the totality of the observable. In such cases, the notion of attributable fraction is used to measure the part of the observable phenomenon that can be attributed to various causes.

In another example, the concept of attribution is of significant interest in the context of weather and climate, where it is used to discern the causes of observed climatic variations that include societally and economically devastating extreme events. The approach of attribution in climate science relies on dissecting the totality of the Earth System into an internal component that is being influenced by the external component (the influencer).

For instance, scientists use attribution analysis to assess how much human-induced changes in the atmospheric constituents (e.g., carbon dioxide, ozone etc., treated as an external forcing, the influencer) contribute to the changes in intensity and frequency of extreme weather events like hurricanes, heatwaves, and floods (the phenomenon).

The approach for attribution involves comparing observed data with model simulations that are done with and without the inclusion of human induced changes, thereby isolating the impact of human influence.

The separation of the Earth System between internal and external is arbitrary. One can put variations in Earth’s atmosphere and ocean in the box tagged internal and changes in the atmospheric constituents in the box tagged as external. One can then treat what is in the external box as a known forcing (i.e., not worry about causality of its origin) and attempt to quantify to what extent variations in the internal box are linked to the former.

One can also put Earth’s atmosphere only in the box that is tagged internal and put variations in the ocean and atmospheric constituent in the box tagged external. In this paradigm, the exercise of attribution is an attempt to explain variations in the atmosphere when variations in the ocean and atmospheric constituents both are prescribed.

The boundary between what components in the Earth System get tagged as internal and what get tagged as external is an artificial construct and depends on the question one is posing. The question — What changes in the frequency of climate extremes is due to anthropogenic causes — slices the Earth System into influencer and influencee (which is not a word in in the English lexicon but so what) in one way. Asking the question — what changes in the frequency of climate extremes is due to anthropogenic causes during an El Niño — requires a different strategy for slicing the Earth System.

If you are not a climate scientist, you will think this discussion about climate attribution is not terribly interesting. There are, however, aspects of attribution that transcend the specifics of a single area of interest.

The necessity for the science of attribution stems from the fundamental role of randomness in how the world operates. The future of stocks is uncertain, knowing if it is going to rain two weeks from now starts to resemble flip of a coin. Life is known for throwing curve balls and hence we are advised to “Hope for the best, prepared for the worst, and unsurprised by anything in between.” Without the role of randomness, there would not be a need for the science of attribution.

The very existence of attribution science underscores the significant role of randomness. The greater the effort required to identify causes, the more pronounced the influence of randomness in the system. One could even envision the effort needed to find causality and the role of randomness as complementary variables — similar to Heisenberg’s uncertainty principle — in that their magnitudes are inversely proportional.

On that note would the world not be a boring place if randomness does not have a role in shaping our future? In the absence of randomness and with the ability to understand the causality of it all, we would have missed out constructing superstructures of religious and philosophical traditions. The world would have been a boring monochromatic place.

Humans have an innate desire for certainty and understanding, which stems from our need to predict and control our environment to enhance our success for survival and reproduction. Uncertainty can lead to anxiety, discomfort, and stress, because it challenges our ability to make informed decisions and anticipate future events. This aversion to uncertainty makes the science of attribution particularly attractive and important.

The science of attribution is also synonymous with prediction. If we can attribute an observable phenomenon to an external cause, and if that cause can be anticipated ahead of time, we can predict its consequences. For example, in epidemiology, if we can attribute an outbreak of a disease to a specific pathogen and understand the conditions that lead to its development and spread, and subsequently monitor it, we can predict future outbreaks. This allows public health officials to implement preventive measures, such as vaccinations or quarantine protocols, to mitigate the impact of the disease.

Attribution science also has significant ethical and policy implications. Attributing extreme weather events to climate change can influence public policy, disaster preparedness, societal practices, and international agreements on climate action. It can also affect legal decisions, such as liability for damages caused by climate-related events.

In the grand tapestry of our desire for understanding, attribution serves as the thread that weaves together the intricate patterns of cause and effect, the influencer and the influencee. It attempts to transform the chaos of randomness into a coherent narrative, allowing us to predict, adapt, and thrive. Whether deciphering the mysteries of climate change, unraveling the complexities of disease outbreaks, the science of attribution empowers us to see beyond the surface. It is a testament to our innate curiosity and relentless pursuit of knowledge, bridging the gap between uncertainty and insight. As we continue to refine our tools and expand our understanding, attribution will remain a cornerstone of our quest to make sense of the world and lead us to a better future.

Ciao, and thanks for reading.

Saturday, October 26, 2024

Understanding the Basics of Natural Selection Through Tetris

 The essence of life is statistical improbability on a colossal scale — Richard Dawkins

Arun Kumar

Arun Kumar + AI
Summary: The game of Tetris serves as a simplified analogy for understanding the mechanisms of evolution. Tetris and natural selection bear similarities like randomness, selection, and adaptation.

The Evolutionary Game of Tetris

At some point in your life, you may have played Tetris. If not, then you may have watched someone else playing, sitting next to you while waiting for whatever you two were waiting for. Tetris is a game that, on the surface, seems simple: various shapes, known as Tetriminos, fall from the top of the screen, and the player must rotate and position them to create complete lines, which then disappear. However, beneath this simplicity lies an interesting parallel to the process of evolution by natural selection.

Tetris: A Game of Randomness and Fit

Tetris is a game where random shapes are thrown at the player, and only those that fit into the existing structure are useful. Each falling Tetrimino represents a random guess, and the player’s task is to find the best possible fit for it within the current configuration. The goal is to create complete lines, which can be seen as a metaphor for achieving a stable and functional state.

Natural Selection: The Ultimate Game of Fit

Natural selection operates on a similar principle. In nature, random genetic mutations occur within organisms. These mutations are akin to the random Tetriminos in Tetris. Just as in Tetris, where only the pieces that fit well into the existing structure are beneficial, in natural selection, only the genetic variations that enhance an organism’s fitness (in the backdrop of the current state of the environment) are likely to be passed on to future generations. Over time, this process leads to the evolution of species, with traits that are well-suited to their environments becoming more common.

Commonalities Between Tetris and Natural Selection

  • Randomness: Both Tetris and natural selection involve an element of randomness. In Tetris, the shapes of Tetriminos are random (although selected from a limited pool). In natural selection, genetic mutations also occur randomly.
  • Selection: In both processes, there is a selection mechanism. In Tetris, the player selects the best plays for each shape to fit. In natural selection, the environment “selects” the random mutations that are most advantageous for the survival and reproduction of the organism.

Differences Between Tetris and Natural Selection

  • Agency: In Tetris, the player actively makes decisions about where to place each shape. In natural selection, there is no conscious decision-making; the process is driven by the interplay between environmental pressures and random mutations.
  • Time Scale: Tetris games are fast-paced, with decisions made in seconds. Natural selection operates over much longer time scales, often spanning generations.
  • End Goal: The goal in Tetris is to clear completed lines and achieve a high score. In natural selection, there is no specific end goal; the process is a trajectory of evolution that can go in any direction over time, potentially stopping, bifurcating, or merging.

Conclusion

While Tetris and natural selection operate in vastly different contexts, they share intriguing similarities in their reliance on randomness and selection. Tetris provides a simplified, game-based analogy for the complex and ongoing process of evolution by natural selection.

Ciao, and thanks for reading.