What is the origin of the word integer?
The word integer originates from the Latin integer, meaning whole or literally untouched, derived from the prefix in meaning not and the verb tangere meaning to touch.
Common questions about Integer
Short answers, pulled from the story.
When did Leonhard Euler expand the definition of integers to include negative numbers?
Leonhard Euler revolutionized this definition in 1765 with his work Elements of Algebra, explicitly expanding the scope of integers to include both positive and negative numbers.
When did the symbol Z become the standard notation for the set of all integers?
It was not until 1961 that Z became the generally accepted standard in modern algebra texts to represent the set containing both positive and negative integers.
Who formalized the concept that the set of integers is countably infinite?
This counterintuitive property was formalized by Georg Cantor, who introduced the concept of infinite sets and set theory at the end of the 19th century.
What is the fundamental theorem of arithmetic regarding integers?
The fundamental theorem of arithmetic states that any positive integer can be written as the product of primes in an essentially unique way.