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Theory

Adapted from Wikipedia · Discoverer experience

A historical scientific sketch showing an early concept of a family tree for species, from Charles Darwin's notebooks in 1837.

A theory is a way of explaining things by forming ideas and guesses about how something might work. It can come from many different kinds of thinking and for many different reasons.

When people use the word “theory” in school or when studying, it usually means a careful and logical way of thinking about something. This kind of thinking often uses watching, testing, and studying to help understand the world. Theories can be about science, like how plants grow, or about other subjects, like art or ideas about life.

Sketch from Charles Darwin's Notebooks on Transmutation of Species (1837), arguably the first example of a phylogenetic tree. (1) represents a common ancestor, the barred branches represent extant descendants, and the unmarked branches represent extinct descendants.

In modern science, a theory is a strong and well-checked way of explaining how nature works. It follows special steps called the scientific method and must be able to be tested by experiments. These scientific theories are very trustworthy and cover a lot of information, unlike a simple guess, which scientists call a hypothesis. Theories help scientists find facts and understand the world around us.

Sometimes people use the word “theory” in everyday talk to mean an idea they haven’t tested yet. But in science, a theory is much more certain and proven through many tests. For example, in medicine, medical theory tries to understand why people get sick, while the practical side tries to help people get better. Both are important, but they are different ways of working with knowledge.

Ancient usage

The English word theory comes from a special term used in Ancient Greek. In everyday Greek, the word theoria meant "looking at" or "viewing." But in deeper, more thoughtful ways of thinking, it described how people tried to understand natural things, like what the world is made of, in a calm and careful way. This was different from practical skills, like speaking well or making things.

Important thinkers helped shape what we mean by theory today. For example, Pythagoras used the word to describe quiet, calm thinking about truths that never change, like math. He believed this kind of thinking helped people understand deep truths. Another thinker, Aristotle, separated theory from practice. Theory was about understanding the world as it is, while practice was about making changes and taking action. Both need thinking, but they have different goals.

Formality

Theories are tools we use to understand, explain, and predict things. They exist in many areas, like art and science. A formal theory needs to be connected to real facts and relationships to make sense. Theories can be written in everyday language or in special languages used in math and logic. They should follow rules of rational thinking.

Theories are made up of statements that we believe are true about a subject. But, the truth of these statements depends on the whole theory. Sometimes, two theories can make the same predictions and are equally good at explaining things. In math, theories are studied using special rules and starting points called axioms. These help us derive new true statements called theorems. Theories help us solve real-world problems by abstracting ideas like numbers, space, and chances. However, some things can't be fully captured by mathematical theories because of limits shown in important math results.

Theory–practice relationship

Theories help us understand how things work, but sometimes they don’t match real-life situations. For example, doctors, engineers, lawyers, and managers might find that ideas from books or research don’t always solve problems they face every day. Some people say that scientists and teachers need to share their ideas better with people who actually do the work.

One way to fix this is by studying real problems together, using many different kinds of knowledge. This helps create new ideas that work both in theory and in practice. It’s like sharing useful thoughts between different groups so everyone benefits.

See also: Praxis (process)
Main article: Praxis (process)

Scientific

Main article: Scientific theory

In science, a theory is a strong explanation about how nature works. It is based on facts that have been checked many times through watching and testing. Good scientific theories can make predictions that can be proven wrong, and they must fit with many different pieces of evidence.

Scientific theories get better as scientists learn more. They help us understand the world and can even lead to new inventions or ways to help people. For example, theories about how living things change over time or how gravity works are very well supported by evidence and are used to make important discoveries.

Mathematical

See also: List of mathematical theories

In mathematics, the word theory means something a little different than in everyday use. Since math does not describe natural events directly, a mathematical theory is a part of math that focuses on specific ideas or ways of solving problems. Examples include set theory, number theory, group theory, probability theory, game theory, control theory, and perturbation theory. These topics are often big enough to fill whole books!

In mathematical logic, a theory is the set of results, or theorems, that can be worked out from a group of starting ideas called axioms and rules for reasoning called inference rules.

Philosophical

Main article: Philosophical theory

A theory can describe things, like in science, or it can give guidance, like in philosophy. When theories are used in philosophy, they are based on ideas rather than things we can see or touch. Some of these ideas cannot be tested by looking at the world around us.

Fields of study are sometimes called "theories" because they start with certain basic ideas or rules. These starting points are like the foundation of the field. Examples include set theory and number theory, but literary theory, critical theory, and music theory also follow this pattern.

Metatheory

Main article: Metatheory

A special kind of theory is called a metatheory. This type of theory is about other theories. It helps us understand how theories work and what they mean. Ideas made in a metatheory about another theory are known as metatheorems.

ideas empirical observation Statements metatheorems

Political

Main article: Political theory

A political theory is an idea about how laws and governments should work. It often talks about people's beliefs or feelings about politics and what they think is right or wrong. These ideas help us understand and discuss how countries and governments are run.

Jurisprudential

Main articles: Jurisprudence and Law

In social science, jurisprudence is the study of ideas and theories about law. It looks at questions about how laws work and what makes a law fair and right. People who study jurisprudence think about how laws fit into society and how they help or guide people in their daily lives.

Examples

A theory is like a set of ideas or guesses that help us understand how something works. These ideas are formed through thinking, observing, testing, and researching. Theories can be about many different subjects, not just science.

Here are some examples of theories from different areas:

Related articles

Jurisprudence
Modern science
Nature
Scientific method
Hypothesis
Medical theory

This article is a child-friendly adaptation of the Wikipedia article on Theory, available under CC BY-SA 4.0.

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