# Thread: Constructing a Compound Proposition

1. ## Constructing a Compound Proposition

I really have no idea where to begin with this...am I supposed to assign sentences to p, q, or r and then somehow combine them into one sentence and then make a compound proposition using the symbols we've learned? I have no clue how I would break it up into smaller sentences. Can someone help point me in the right direction?
"Construct a compound proposition that asserts that every cell of a 9x9 Sudoku puzzle contains at least one number."
Thank you to anyone who can help me! I am so lost on this.

2. ## Re: Constructing a Compound Proposition

Don't feel bad. Without context, this problem does look strange. Are you sure there is no information before the problem (possibly in the text) saying what elementary (atomic) propositions are? If you are free to come up with your own elementary propositions, then, for what's it worth, you can say

p ∧ (p ∨ ¬p)

where p stands for "every cell of a 9x9 Sudoku puzzle contains at least one number". It would be enough to say just p, but the problem requires a compound proposition, and (p ∨ ¬p) is always true, so it does not change the meaning.

3. ## Re: Constructing a Compound Proposition

Unfortunately there's not any information before the problem. But thank you very much, hopefully that's what he's wanting us to do!