MATH PHIL 202 Questions With Complete Solutions.

Which of the following is a binary predicate in English? A) "x and y were both born in z" B) "x was born in France" C) "x was born in y before z was born in w" D) "x was born in y" correct answer: D) "x was born in y" Which of the following is not true about individual constants in FOL? A) All objects must be named by at least one individual constant. B) No individual constant can name more than one object. C) An object can be named by more than one individual constant. D) Unlike English, FOL does not allow individual constants that do not actually name anything. correct answer: A) All objects must be named by at least one individual constant. What is the one predicate that is standardly written with an infix notation, instead of a prefix notation? A) a is identical to b B) a is a cube C) a is between b and c D) a is smaller than b correct answer: A) a is identical to b Suppose that you are evaluating an argument, and you decide that, if you assumed the premises were all true, then the conclusion would have to be true. Nonetheless, you think some of the premises are actually, as a matter of fact, false. How should you evaluate that argument? A) It is valid and sound. B) It is valid, but not sound. C) It is sound, but not valid. D) It is neither valid nor sound. correct answer: B) It is valid, but not sound. What is the relationship between validity and counterexamples? A) A valid argument will always have at least one actual counterexample.