Difference between revisions of "Mathematical object"
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| − | A '''mathematical object''' is an abstract object arising in philosophy of mathematics and mathematics itself. | + | A '''mathematical object''' is an [[Abstraction (mathematics)|abstract object]] arising in [[philosophy of mathematics]] and [[mathematics]] itself. |
Commonly encountered mathematical objects include: | Commonly encountered mathematical objects include: | ||
Revision as of 06:25, 23 August 2015
A mathematical object is an abstract object arising in philosophy of mathematics and mathematics itself.
Commonly encountered mathematical objects include:
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
External links
- Mathematical object @ Wikipedia
