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Description

Z stands for the integers (Zahlen), while N stands for the natural numbers (Natürlichezahlen).
 
As a great mathematician said, “God made the integers; all else is the work of man.”  
Well, I think Kronecker isn’t going far enough. I dare say that God made the natural numbers, and even the integers are just a convenient fiction, not real.

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Comments

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Digital Seapony
Non-Fungible Trixie -
My Little Pony - 1992 Edition

Book Horse Best Horse
Fun semi-related fact: the typical set notation leads to a lot of confusion for Polish students. Observe:
 
Z - liczby całkowite (whole numbers)  
C - liczby zespolone (complex numbers)
 
To make matters worse, many coursebook authors use these symbols in reverse to “make it more intuitive”, which of course leads to even more confusion and ambiguity. In particular, high school level examiners are required to recognize both variants as correct.
Background Human
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Not a Llama - Happy April Fools Day!

CHS, Class of 20XX
@Background Pony Number 17  
Not intentionally. Kronecker’s distaste for other things called numbers, such as the irrational or the transfinite, is well-attested. And mathematicians use a lot of jargon. In English, they use words like “rational”, “real”, and “complex” to describe numbers with no regard for the usual meanings of rationality, reality, or complexity, except when they’re making horrible puns. (STEM types love their horrible puns.) “Ganze Zahl” is the same thing in German, a specific term of art.
Background Human
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Not a Llama - Happy April Fools Day!

CHS, Class of 20XX
While I can’t find specific confirmation, the general consensus seems to be that Kronecker himself was as wary of negative numbers as he was of anything else. Indeed, his maxim is sometimes translated “God made the natural numbers…”, even though his original German, “die ganzen Zahlen” (literally “whole numbers”), now describes all integers.