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Writing propositions symbolically

  1. Sep 14, 2011 #1
    1. The problem statement, all variables and given/known data

    For each positive int k, there are k consecutive pos ints that aren't perfect-squares.

    I'm trying to write this in symbolic logic, but am getting messed in the second part and might be a little off on the first.

    2. Relevant equations


    3. The attempt at a solution

    ∀ k > 0 - For each positive int k

    F(k) indicates that k is a not a perfect square. (can this be written symbolically instead?)

    ∀ k > 0 ∃ Fk+1(k) … Fk+k(k).
     
  2. jcsd
  3. Sep 14, 2011 #2

    Char. Limit

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    Gold Member

    If you want to write that symbolically, you could write something like this:

    [tex]F(k) \leftrightarrow k \neq n^2, n \in \mathbb{Z}[/tex]

    Of course, you'd still have to define what Fk+a(k) means.
     
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