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

(c) All my poultry are ducks

(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.

Expert Solution

genius_generous answered 2 years ago

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