Let P(x),Q(x),R(x), and S(x) be the statements “x is a duck,” “x is one of my...

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 relations P(x),Q(x),R(x), and S(x).
(a) No ducks are willing to waltz

(b) No oﬃcers ever decline to waltz

(d) My poultry are not oﬃcers

(e) Does the fourth item follow from the ﬁrst three taken together? Argue informally; you don’t need to use algebra or inference rules for for ﬁrst-order logic here.

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genius_generous answered 1 year ago

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