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Existence
(
∃
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Foundations of mathematics
Mathematical logic
Created
2026-10-18
Updated
2026-10-24
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A
solution exists when at least one object satisfies all the stated conditions. In
first-order logic
, this is expressed by
existential quantification
.
Uniqueness
additionally requires that any two solutions are equal.
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Mathematical logic
Foundations of mathematics
Area of mathematics
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Past exam of the approximation theory and finite element methods course of the University of Oxford
/
2007
/
A
/
1
/
c
/
Solution
Past exam of the approximation theory and finite element methods course of the University of Oxford
/
2007
/
B
/
5
/
ii
/
Solution
Past exam of the approximation theory and finite element methods course of the University of Oxford
/
2007
/
B
/
5
/
i
/
Solution
Strict convexity separates uniqueness from existence in best approximation
Uniqueness
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Existence
by
Ciro Santilli
40
Updated
2025-07-16
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