Express statements using quantifiers and logical connectives

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Reference no: EM1361213

Let P(x), Q(x), R(x), and S(x) be the statements "x is a duck", "x is one of my poultry", "x is an officer", and "x is willing to waltz", respectively. Express each of these statements using quantifiers, logical connectives, and the predicates P(x), Q(x), R(x) and S(x).

1. No ducks are willing to waltz.
2. No officers ever decline to waltz.
3. All my poultry are ducks.
4. My poultry are not officers.

Does the fourth item follow from the first three taken together?

Reference no: EM1361213

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