Problem

Are based on questions found in the book Symbolic Logic by Lewis Carroll.Let P(x), Q(x), a...

Are based on questions found in the book Symbolic Logic by Lewis Carroll.

Let P(x), Q(x), and R(x) be the statements “x is a clear explanation,” “x is satisfactory.” and “x is an excuse.” respectively. Suppose that the domain for xconsists of all English text. Express each of these statements using quantifiers, logical connectives, and P(x), Q(x), and R(x).

a) All clear explanations are satisfactory.


b) Some excuses are unsatisfactory.


c) Some excuses are not clear explanations.


*d) Does (c) follow from (a) and (b)?

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