Existence (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Foundations of Mathematics
• Logic
• Decidability

If at least one solution can be determined for a given problem, a solution to that problem is said to exist. Frequently, mathematicians seek to prove the existence of solutions (by means of a so-called existence theorem) and then investigate their uniqueness (by means of a so-called uniqueness theorem).

If one solution is known to exist but it is not known how many total solutions may exist, it is common to say that there is known to be at least one solution.

See also

At Least One, Existence Problem, Existence Theorem, Exists,Uniqueness Theorem

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Cite this as:

Weisstein, Eric W. "Existence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Existence.html

Subject classifications

• Foundations of Mathematics
• Logic
• Decidability