Recent questions tagged propositional-logic

5 5 votes
1 1 answer
496
496 views
Select the statement that is the negation of "Some weasels are cuddly."No weasels are cuddly.All weasels are cuddly.Some weasels are not cuddly.All cuttlefish are weasely...
0 0 votes
0 0 answers
186
186 views
Each lawyer on a certain remote island is either honest or dishonest (but not both).Honest lawyers always speak the truth.Dishonest lawyers always lie.Is it possible for ...
3 3 votes
3 3 answers
464
464 views
All inhabitants of the Old Forest are either Ents or Bents. Ents always tell the truth and Bents always lie. During a visit to the Old Forest, you encounter four inhabita...
0 0 votes
2 2 answers
317
317 views
Suppose a crime has been committed and there are three suspects: Professor Plum, Mrs. Peacock, and Mr. Green. Given that:- At least one of the above three suspects is gui...
1 1 vote
2 2 answers
356
356 views
Suppose a crime has been committed and there are three suspects: Professor Plum, Mrs. Peacock, and Mr. Green. Given that:At least one of the above three suspects is guilt...
1 1 vote
2 2 answers
405
405 views
Amir, Bhola, Chaitali and Deepak are invited to a party. If Bhola and Chaitali attend, then Deepak will attend too. If Bhola does not attend, then Amir will not attend. I...
0 0 votes
2 2 answers
295
295 views
Let $P$ be a set of propositional variables. Let $\Gamma=\{p \rightarrow q, \neg r \rightarrow$ $\neg q, \neg s \rightarrow \neg r, s \rightarrow t \mid p, q, r, s, t \in...
1 1 vote
2 answers 2 answers
420
420 views
Lets say we have a sentence, "If it rains, then I will take the cab". In this if it actually rains and the person takes the cab, then we say implication holds and resulta...
2 2 votes
2 2 answers
348
348 views
If $P$ and $Q$ are two propositions, then the expression $(P \wedge(P \rightarrow Q)) \rightarrow Q$ isalways true.true for only one assignment.always false.false for onl...
1 1 vote
2 2 answers
983
983 views
Prove is the argument is valid or not ?p - qq- (r^s)negation r v (negation t v u)p ^ t therefore, u 
2 2 votes
1 answers 1 answer
647
647 views
Let P (x) be the statement “x can speak Russian” and let Q(x) be the statement “x knows the computer language C++.” Express each of these sentences in terms of P (x), Q(x...
0 0 votes
2 answers 2 answers
678
678 views
Explain, without using a truth table, why (p ∨ ¬q) ∧ (q ∨ ¬r) ∧ (r ∨ ¬p) is true when p, q, and r have the same truth value and it is false otherwise.
2 2 votes
2 answers 2 answers
668
668 views
Which of these sentences are propositions? What are the truth values of those that are propositions?a) Boston is the capital of Massachusetts.b) Miami is the capital of F...
1 1 vote
2 answers 2 answers
1.9k
1.9k views
Let's take a compound propositionsEither it is below freezing or it is snowing.Now if$p$: it is below freezing $q$: it is snowingWill it be $p \vee q$ or $p \oplus q$? Th...
1 1 vote
1 answers 1 answer
853
853 views