Whois & Analysis for aaamath.com

Arithmetic (from the Greek arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division.

Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis.

The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.

A concept is an abstract idea representing the fundamental characteristics of what it represents.

Concepts arise as abstractions or generalisations from experience or the result of a transformation of existing ideas.

The concept is by all of its actual or potential instances, whether these are things in the real world or other ideas.

Concepts are treated in many if not most disciplines both explicitly, such as in linguistics, psychology, philosophy, etc., and implicitly, such as in mathematics, physics, etc.

In use the word concept often just means any idea, but formally it involves the abstraction component.

These concepts are then stored in long term memory.

In mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right.

For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written.

Sets are one of the most fundamental concepts in mathematics.

Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived.

In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.

The German word Menge, rendered as "set" in English, was coined by Bernard Bolzano in his work The Paradoxes of the Infinite.