Definition · applies to scientific explanations

Elementary

A hypothesis is a guess about how something works that can be checked with an experiment.

High school

A hypothesis is a proposed explanation or prediction that can be tested by observation or experiment, and that the evidence could show to be false.

Examples

Examples

Non-examples

Things that may be mistaken for examples.

  • Goldbach’s conjecture: every even integer greater than $2$ is the sum of two primes High school
    Goldbach’s conjecture is a conjecture, because it is a mathematical statement that is believed true but has no proof. It is not a hypothesis, because checking more even numbers cannot establish it; only a proof can.
  • Newton’s law of universal gravitation, $F = G m_1 m_2 / r^2$ High school
    Newton’s law of gravitation is a law because it is an equation that describes how strongly masses attract. It is not a theory, because it does not explain why masses attract; general relativity, a theory, does.
  • The theory of evolution by natural selection High school
    Evolution by natural selection is a theory, because it explains a broad range of observations (fossils, genetics, the distribution of species) and is supported by a large body of evidence. It is not a law because it explains why species change rather than describing one pattern. It is not a hypothesis because it has be demonstrated via experiments.

Notes

In mathematics, “hypothesis” usually means an assumption of a theorem instead.

Distinctions involving this term

  • Conjecture vs. hypothesis vs. law vs. theory: A conjecture is a statement believed true but not yet proved, and it belongs to mathematics, where statements are settled by proof. In science, where statements are tested by evidence, a hypothesis is a testable proposal, and a theory is a well-supported explanation of many observations. A law describes a pattern that holds in every tested case, often as an equation such as $F = G m_1 m_2 / r^2$, without explaining why the pattern holds; explaining it is the job of a theory. In everyday speech, “theory” means a guess, but in science a theory is an a principle or body of principles that explains observed data and phenomenon.

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