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Apparently, it comes from the word "Zhalen" which is the German word for "Number". Apparently this word was chosen by N.Bourbaki, a group of mathematicians aiming to write a thorough unified account of all mathematics.

Source:

http://mathcentral.uregina.ca/QQ/database/QQ.09.01/stephanie3.html

More information on N.Bourbaki group:

http://en.wikipedia.org/wiki/Nicolas_Bourbaki

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Q: Why is the symbol for integers the letter Z?
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