Z, or more commonly denoted, ℤ (double line), is just the standard set mathematicians use to hold the set of all integers.
Not everything stems from English, and in this case, the "Z" comes from the word "die Zahlen", which is the German plural word for numbers.
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Set of integers is denoted by Z, because it represents the German word Zahlen which means integers
Any symbol can be used to denote a set of integers. The set of all integers is denoted by Z, and the set of natural numbers by N.
The set of integers consists of zero, the natural numbers and their additive inverses. This is often denoted by a boldface Z ("Z") standing for the German word Zahlen, "numbers".
The symbol for the set of integers is Z. This comes from the German Zahl, which means integer.
The set is represented by Z.