Mathematics - Meta

Mathematics - Meta

Mathematical Model

  • is an abstract description of a concrete system using mathematical concepts and language

Mathematical Object

Mathematical Structures

  • is a set endowed with some additional features/meaning/significance on the set (e.g. an operation, relation, metric, or topology)
  • a partial list of possible structures are; measures, algebraic structures (groups, fields, etc.), topologies, metric structures (geometries), orders, events, equivalence relations, differential structures, and categories
  • the formalization of mathematical structures is called Category Theory