I get your answer, but just from reasoning. You are given r and q are true, so the predicate not r leads to contradiction. A false predicate implies anything at all.Back2College said:Am I doing something wrong, or is the answer in the book wrong?
It's hard to tell what you mean by this and the other logical expressions you show.Back2College said:a) p → q TTFFTTTT
Shouldn't the last line in the table read FFT?Mark44 said:It's hard to tell what you mean by this and the other logical expressions you show.
For a truth table for ##p \Rightarrow q##, you need three columns: one for p, one for q, and one for the implication, like this:
##\begin{array} {ccc} \\ p & q & p \Rightarrow q \\
T & T & T \\
T & F & F \\
F & T & T \\
F & F & F \end{array}##
The only pair of values for p and q for which the implication is false is when p is true and q is false. In all other cases, the implication is true.
Yes -- now fixed.haruspex said:Shouldn't the last line in the table read FFT?
A deductive argument in finite math is a logical reasoning process that uses known premises to arrive at a certain conclusion. It is based on the principle of deductive reasoning, which states that if the premises are true and the reasoning is valid, then the conclusion must also be true.
To determine if the answer in a finite math book is wrong, you can follow these steps:
If you find a wrong answer in a finite math book, you should first try to understand where the mistake was made. Then, you can bring it to the attention of your instructor or the author of the book. They can help clarify any confusion and correct any errors.
Yes, a deductive argument in finite math can have a wrong answer if the premises are not accurate or if there is a flaw in the logical reasoning process. It is important to carefully check all the steps and calculations in a deductive argument to ensure the validity of the conclusion.
Deductive reasoning in finite math starts with a general statement or principle and uses it to draw a specific conclusion. Inductive reasoning, on the other hand, starts with specific observations and uses them to form a general conclusion. Deductive reasoning is more focused on the logical process, while inductive reasoning is more focused on making predictions based on observations.