Difference between revisions of "Mathematical object"
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* [[Abstraction (mathematics)]] | * [[Abstraction (mathematics)]] | ||
* [[Abstract object]] | * [[Abstract object]] | ||
| − | * [[ | + | * [[Expression (mathematics)]] |
* [[Foundations of mathematics]] | * [[Foundations of mathematics]] | ||
* [[Mathematical structure]] | * [[Mathematical structure]] | ||
Revision as of 15:33, 20 February 2016
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
- Expression (mathematics)
- Foundations of mathematics
- Mathematical structure
- Mathematics
- Object (computer science)
- Permutation
- Philosophy of mathematics
- Value (mathematics)
External links
- Mathematical object @ Wikipedia
