Constructibility
From Wikipedia, the free encyclopedia
In mathematics, there are several notions of constructibility. Each of the following is by definition constructable:
- a point in the Euclidean plane that can be constructed with compass and straightedge. Also, any complex number associated to such a point; see constructible number.
- a regular polygon that can be constructed with compass and straightedge; see constructible polygon.
- a theorem that can be proved by constructivist logic; see mathematical constructivism.
- a set in Kurt Gödel's universe L, which may be constructed by transfinite application of certain constructions in set theory; see constructible universe.
The term may also refer to:
- a process in construction design whereby plans are reviewed by others familiar with construction techniques and materials to assess whether the design is actually buildable. Often referred to as a "Constructibility Review", the process usually occurs prior to the plans being put out for bid.
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