Multitude

Multitude is the quantity of a finite set. [TODO maybe circular because what do I mean by finite set?] Synonyms for multitude are natural number, whole quantity, discrete quantity, cardinality, and the symbol Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{N}} ; though all those concepts have different shades of meaning, Objective Mathematics uses them interchangeably.

Comparison

"Few" and "many" describe relative multitudes.

Counting

Counting is a process in which one identifies the multitude of a set, through iteratively identifying multitudes of its subsets.

Specific natural numbers

Multitude can be divided up into sub-concepts such as "1," "12," and "73."

Addition

Addition is a process in which one identifies the multitude of a disjoint union, based his knowledge of the multitudes of its summands. (By the summands of a disjoint union Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \sqcup B} , I mean the set Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A } and the set Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B} .)

Multiplication

Multiplication is a process in which one identifies the multitude of a cartesian product, based on his knowledge of the multitudes of its summands. (By the summands of a cartesian product $A\times B$, I mean the set Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A } and the set Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B} .)