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Problem 12: Formulation in Quantifiers

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Express the following statements in a formal way:
a)
Every real number is outnumbered by a natural number.
b)
All prime numbers greater than 2 are odd.
c)
A natural number is divisible by 3, if and only if its cross sum is divisible by 3.
d)
The polynomial $ p(z)=z^2+1$ has exactly two complex roots.
e)
For every $ \varepsilon>0$ there is an index $ n_0$, so that for all indices $ n$ with $ n\geq n_0$ the inequality $ \vert a_n-a\vert<\varepsilon$ holds.
What's the negation of statement e)?

(Authors: Kimmerle/Roggenkamp/Höfert)

Solution:

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  automatisch erstellt am 14. 10. 2004