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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NO
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.
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.
My high school German’s a bit rusty, but can’t “die ganzen Zahlen” be translated as “all of the numbers” as well as “the whole numbers”? A little ambiguity here, perhaps?
What a radical naturalist.
I’m glad this meme is even closer to historical reality than I thought.