Difference between revisions of "Mathematical object"
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* [[Number|Numbers]] | * [[Number|Numbers]] | ||
| − | * Permutations | + | * [[Permutation|Permutations]] |
* Partitions | * Partitions | ||
* Matrices | * Matrices | ||
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* [[Abstraction (mathematics)]] | * [[Abstraction (mathematics)]] | ||
| + | * [[Foundations of mathematics]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
* [[Object (computer science)]] | * [[Object (computer science)]] | ||
| + | * [[Permutation]] | ||
| + | * [[Philosophy of mathematics]] | ||
== External links == | == External links == | ||
* [https://en.wikipedia.org/wiki/Mathematical_object Mathematical object] @ Wikipedia | * [https://en.wikipedia.org/wiki/Mathematical_object Mathematical object] @ Wikipedia | ||
Revision as of 08:43, 6 September 2015
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)
- Foundations of mathematics
- Mathematics
- Object (computer science)
- Permutation
- Philosophy of mathematics
External links
- Mathematical object @ Wikipedia
