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I am try to develop a venn diagram relation between:-

Tautology/ Contradiction/ Contingency/ Satisfiability

But where I can fit the Contingency in below diagram?

I think it should be entirely in the circle of satisfiability and not intersecting with tautology circle.

Correct me if I am wrong?

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Contingencies: A compound proposition that is neither tautology nor contradiction.

but if compound is satisfiable then it may tautology or contigency...So in short, a proposition is satisfiable if there is at least one true result in its truth table, valid if all values it returns in the truth table are true.

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~ $\forall$ x [ P(x) - (Q(x) v P(x) ) ]