1. Math
3. 22 letpx qx rx andsx be the open sentences px...

Question: 22 letpx qx rx andsx be the open sentences px...

Question details

2(2) LetP(x); Q(x); R(x), andS(x) be the open sentences

:P(x) :xis a baby.

Q(x) :xis a logical

.R(x) :xis able to manage an alligator.

S(x) :xis despised

.Suppose that the universe,Uconsists of all people (and assume ther is some objective measure to determineeach of the sentences). Express each of these statements using quanti ers, logical connectives, and the aboveopen sentences. Then write the negation of the statement.

(a) Babies are iillogical.

(i) Statement in symbolic logic:

(ii) Negation in symbolic logic:

(iii) Negation in plain English:

(b) Nobody is despised who can manage an alligator

.(i) Statement in symbolic logic:

(ii) Negation in symbolic logic:

(iii) Negation in plain English

:(c) Illogical persons are despised.

(i) Statement in symbolic logic:

(ii) Negation in symbolic logic:

(iii) Negation in plain English:

(d) Babies cannot manage alligators.

(i) Statement in symbolic logic:

(ii) Negation in symbolic logic:

(iii) Negation in plain English:

(e) Does (d) follow from (a),(b), and (c)? (Meaning if all statements are true, can the statement be arrivedat using a, b, and c?) If not, is there a correct conclusion?