Mathematical objects

thumb|Set inclusions between the [[natural numbers ]]

thumb|The Sierpiński triangle contains infinitely many (scaled-down) copies of itself. Infinity is something which is boundless, limitless, endless. It is denoted by , called the infinity symbol.

well-defined mathematical collection of distinct objects

abstract object in mathematics

theory stating that external physical reality is a mathematical structure

a stronger analog of limit point

Finiteness, finitude, or being finite, is the state of being limited or having an end, and is a counter to the concept of infinity. Humans are considered to be in this state because of their limited life span, uniformly ending in death. Each natural number is considered to be in this state, because counting up to that number stops when the number is reached. The concept appears across disciplines, from mathematics and linguistics to philosophy, where it is used to describe quantities, structures, and conditions. In mathematics, a set or number is finite if it is limited in size, while in lingu