Uncertainty

Uncertainty, or incertitude, describes situations where we don't have all the information. This can happen when we try to predict future events, measure something that can't be known perfectly, or face the unknown. It is very important for making decisions.

Uncertainty appears in many areas of life and study. It shows up in places like insurance, philosophy, physics, statistics, economics, entrepreneurship, finance, medicine, psychology, sociology, engineering, metrology, meteorology, ecology, and information science. It often comes from not being able to see everything clearly, from changes that happen randomly, or simply from not knowing or caring enough about certain details.

Concepts

Uncertainty means not knowing for sure what will happen or what something really is. It happens when we don’t have all the information we need. This can be about predicting the future, like guessing if it will rain tomorrow, or about understanding something that has already happened but we don’t have all the details.

People who study decisions, statistics, and other numbers have special ways to think about uncertainty. They talk about risk, which is when we can guess the chances of different things happening, even if we’re not 100% sure. For example, if we know there’s a 90% chance of sunshine and a 10% chance of rain, we can plan better. But sometimes, we don’t even know the chances — this is called uncertainty.

One famous thinker, Frank Knight, said that uncertainty is different from risk because with risk, we can measure the chances, but with uncertainty, we can’t. Imagine you’re planning a big event outside. If you know there’s a small chance it might rain, you can prepare. But if you have no idea whether it will rain or not, that’s uncertainty — and it can be harder to plan for.

In the media

When scientists share their ideas with the public, it can sometimes be hard for everyone to understand each other. Scientists might not always explain things clearly, and the public can interpret information in different ways. For example, when scientists disagree on something because they used different methods, people might think there is no agreement at all, even when there actually is.

Journalists who write about science sometimes make things seem more certain or more unsure than they really are. They might give equal attention to scientists with different opinions without explaining what most scientists believe. They might also make science seem like it always has clear answers, when in fact there is often some uncertainty. This can happen because of how news stories are written or because some groups want to promote certain ideas.

Applications

Uncertainty is important in many areas of life and work. In games like gambling, chance plays a big role, and uncertainty is part of the fun. In scientific modelling, scientists understand that predictions about the future can only be made within a range of possible values.

In computer science, especially in data management, uncertain information is common and can be stored in special uncertain databases. When making plans or solving problems, uncertainty helps us understand that we might not always control the final result, as seen in scenario optimization and stochastic optimization. In weather forecasting, experts now often tell us how sure they are about their predictions.

In science and engineering, uncertainty is linked to error. When we measure things like distance or temperature, there is always some uncertainty depending on the tools we use. This uncertainty continues through any calculations we do. In physics, the Heisenberg uncertainty principle is a key idea in modern quantum mechanics. Every measurement, from everyday estimates like "He is 6 feet tall" to precise scientific tools, involves some level of uncertainty.

Uncertainty also appears in engineering, art, and economics. For example, in making art, uncertainty can create interesting themes or challenges for the artist. In economics, uncertainty is different from risk. While risk has known chances for each outcome, like flipping a coin, uncertainty involves situations where we don’t even know the chances of different outcomes. This kind of uncertainty is also found when people invest in financial markets like the stock market, especially when facing rare but serious events with unknown probabilities.

Philosophy

Main article: Philosophical skepticism

In Western philosophy, one of the earliest thinkers to think deeply about uncertainty was Pyrrho. This led to schools of thought called Pyrrhonism and Academic Skepticism. These ideas included concepts like aporia and acatalepsy, which help us understand uncertainty.

Today, philosophers like William MacAskill from Oxford University talk about something called Moral Uncertainty. This means being unsure about the best way to act when we don’t have clear answers about what is right or wrong. It also looks at how we should behave when we’re not sure which moral ideas are correct.

Artificial intelligence

Uncertainty in artificial intelligence refers to situations where a computer program or robot does not have all the information it needs to make a decision. This can happen when trying to predict future events, understanding measurements that have already been taken, or dealing with unknown factors.

Artificial intelligence often works in environments that are hard to observe, ever-changing, or very complicated. Because of this, there can be uncertainty about what will happen next or how to solve a problem. This uncertainty is important because it affects how we make decisions, whether we are humans or computers trying to think and learn.