Sep 19, 2021 · What this truth table represents is the fact that if you have a data set (or situations) that results in a false value of (~A V B) then your assumption that A implies B is violated (or is …

Aug 7, 2021 · After practicing filling truth table and gaining logic terminologies, the natural language intuition for "if p then q" is generally that p is a sufficient condition of q, while for "p …

Mar 29, 2017 · First, you should know that it is better (and more standard) to draw the truth table as follows: $$\begin {array} {c|c|c} P & Q & P\implies Q \\ \hline \text {T} & \text {T} & \text {T} \\ …

Aug 10, 2023 · Q3: Your approach is a bit misguided,p → q is a convenient shorthand for the statement: ¬ p ∨ q Once we have defined ¬ and ∨, then the truth table for → follows from that.

Feb 17, 2019 · But "P does not imply Q" normally means that if P is true then Q may or may not be true; in other words, "P does not imply Q" normally means that (P $\to$ Q) is not always …

Apr 7, 2016 · If I understand your question correctly, you do not understand why the truth table is as it is. Recall the truth table: $$\begin {array} {c|c|c} P & Q & P\rightarrow Q \\ \hline 1 & 1 & 1 …

Jul 21, 2015 · You can also see from the truth table that both premises are needed to make this argument valid. But if we were to change the truth table for the conditional statement to make …

May 12, 2024 · From that perspective I have a hard time seeing how p -> q means the same thing as p only if q, especially when drawing out the truth table for it. I'm not sure if this is a …

Sep 7, 2024 · The truth (truth value) of P→Q (or, metalogically, P Q) is straightforwardly determined by identifying the relevant row of its truth table according to the particular …

I have difficulties understanding why $ P \implies Q$ is equivalent to P only if Q. I do understand that in the statement "P only if Q", it means if $ \lnot Q \implies \lnot P$".