Discussion and Response – Truth Value
Based on the truth function, sentences can either be false or true, but not both. A sentence can be denoted as q for True and a negation of q (-q) for False, while the conjunction and, is denoted as &, disjunction is denoted as V. Given that p is T (Truth value), q is F, and r is T, -r is F, to find the truth-value in the text p & (-r v q), we must solve the equation. A disjunction is T when at least one value is T while it is F when both values are F. Therefore, (-r V q) = (F V F) = F. Consequently, the text is p & (F). Truth conditions for conjunctions are only T when both values are T, while they are F when at least one value is F. The text modifies to T & F since p is T, and the final truth is, therefore, F. Finally, we express the text as p & (-r V q) = T & ( F V F) = T & F = F. The final result is a falsity. The author’s answer is, therefore, correct. Do you need help with your assignment ? Get in touch with us at eminencepapers.com.
Response to Classmate 1
Hi, I agree with your method of analysis of the author’s answer. Using the Pemdas to solve for the truth- value of the text was a brilliant idea that simplified the process of attaining the final value. You understood what the author put down and simplified it in a way that everyone can understand. The use of Pemdas while solving mathematical problems is significant, while the problem consists of negations. Without the use of Pemdas, the result would probably be different because of the negations present in the text. Your support is well documented and illustrated for easy understanding.
Response to Classmate 2
Hi, it appears your discussion is inconclusive. Although you’ve documented what you understood, it is unclear whether you agree with the author’s answer or not. It also seems as though your discussion is incomplete, as your examples are not perfectly stipulated and correctly used to solve the text p & (-r V q). Also, filling the table without completely understanding the methods applied to fill out the table will probably leave you with wrong answers, incomplete work, or both. I would advise you to review the topic once more and understand what happens before the tables are drawn to comprehend how the author got to their answer.
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Question 
Discussion and Response – Truth Value
In this particular excerpt, the author writes at some point in the text the following question:
“What is the truth-value of, say, p & (-r v q)?”
Then, the author answers his own question. What’s his answer? Well, he says that the truth value of this expression is F, meaning that this expression comes out to a falsity (F) given that p is True, q is False, and r is True.
Your task now is to say in your own words how the author worked out the answer. Explain in your own words why the author arrived at the conclusion that the expression equals a statement that is not true, that it’s false (F).