Linguistics
I’m working on a Linguistics multi-part question and need an explanation to help me study.
I.Sets: Consider two sets A={a,b,c}and B={c,d,e,f} (U={a,b,c,d,e,f,g,h)) (3pts) 1) What is A ∩ B?
2) How many members are there of B? 3) What is the power set of A, ?(A)?
4) What is the complement of B, -B?
5) What is A ∪ B?
6) How many members are there of { }?
II. Using your knowledge of what claims are true or false, calculate the actual truth values under current circumstances for the following complex sentences. Show your work. (2 pts)
1) If [Cuomo is governor and New York is a state], then [the moon revolves around the earth and the sky is not green]
2) 2) [If trees snore then cats meow] or [if cats meow then dogs bark]
III. Using truth tables SHOW that the following two formulas logically mean different things, or the same thing. (2 pts)
¬p ∧ [p ∧ q]
¬q ∧ [p ∨ q]
Show your work and state your conclusion and why you drew that conclusion IV. Consider the connective ‘unless’: (3 pts)
Bob will leave unless we have his favorite snack Go through and construct a truth table for ‘unless’. Let:
p = Bob will leave
q = We have his favorite snack
You are to `ill in each question marks in the truth table with a T or an F, and to justify in writing why you entered it (you can certainly use other examples with ‘unless’ you think are more illustrative to support your point).
p q p unless q
V. Translate the following into predicate logic. Preserve as much of the structure as possible and give in each case give a key as needed (e.g., m = Marion, P = politicians) (3pts)
Sample Solution