Mathematical object

A mathematical object is an abstract object arising in philosophy of mathematics and mathematics itself.

Commonly encountered mathematical objects include:

• Numbers
• Permutations
• Partitions
• Matrices
• Sets
• Functions
• Relations

Geometry as a branch of mathematics has such objects as:

• Points
• Lines
• Circles
• Triangles
• Squares
• Hexagons
• Spheres
• Polyhedra
• Topological spaces
• Manifolds

Algebra as a branch includes objects such as:

• Groups
• Rings
• Fields
• Group-theoretic lattices
• Order-theoretic lattices

Categories are simultaneously homes to mathematical objects and mathematical objects in their own right.

The ontological status of mathematical objects has been the subject of much investigation and debate by philosophers of mathematics.

See also

• Abstraction (mathematics)
• Abstract object
• Epxression (mathematics)
• Foundations of mathematics
• Mathematical structure
• Mathematics
• Object (computer science)
• Permutation
• Philosophy of mathematics
• Value (mathematics)

External links

• Mathematical object @ Wikipedia