constructibility
Able to construct
Constructibility is the quality of being able to be constructed.
In geometry, it refers to shapes that can be drawn using only a compass and straightedge: the constructibility of a regular heptagon was disproven.
In set theory and logic, constructibility describes sets that can be built through a specific hierarchy of definable operations.
More generally, it addresses whether something can feasibly be built: Engineers questioned the constructibility of the architect's vision.
Mathematics of abstract collections
- axiomSelf-evident starting principle
- proofDemonstration of truth
- theoremDemonstrated logical conclusion
- cardinalitySize of a set
ordinal · model · consistency · completeness · decidability · forcing · definability · well-ordering
Potential for success
- materialsRaw stuff for creation
- methodsWays to accomplish something
- logisticsCoordination of complex activities
- specificationsStated requirements and parameters
preconstruction · planning · scheduling · cost estimation · value engineering · regulations · standards · safety
Device showing cardinal directions
- straightedgeLine-drawing tool
- bisectionDivision into two equal parts
- trisectionDivision into three
- regular polygonShape with identical sides, angles
angle · circle · Euclidean · squaring the circle · heptagon · proof · ruler · classical
Detailed technical drawing
- designPurposeful creative planning
- foundationUnderlying support structure
- load-bearingSustaining structural mass
- facadeDeceptive outward appearance
symmetry · proportion · masonry · framework · slab · footing · column · beam
set theory
Mathematics of abstract collections
- axiomSelf-evident starting principle
- proofDemonstration of truth
- theoremDemonstrated logical conclusion
cardinality · ordinal · model · consistency · completeness · decidability · forcing · definability · well-ordering · recursive
feasibility
Potential for success
- materialsRaw stuff for creation
- methodsWays to accomplish something
- logisticsCoordination of complex activities
specifications · preconstruction · planning · scheduling · cost estimation · value engineering · regulations · standards · safety · labor
compass
Device showing cardinal directions
- straightedgeLine-drawing tool
- bisectionDivision into two equal parts
- trisectionDivision into three
regular polygon · angle · circle · Euclidean · squaring the circle · heptagon · proof · ruler · classical · algebraic
blueprint
Detailed technical drawing
- designPurposeful creative planning
- foundationUnderlying support structure
- load-bearingSustaining structural mass
facade · symmetry · proportion · masonry · framework · slab · footing · column · beam · fenestration
constructibilityimpossibility
State of being unachievable
infeasibility · impracticability · unworkability · impracticality · nonviability
construct, construction, constructible, constructs, constructed, constructing, constructor, constructors, constructive