TITLE: The meaning of Implication in Logic
QUESTION [12 upvotes]: How do I remember Implication Logic $(P \to Q)$ in simple English?
I read some sentence like

If $P$ then $Q$.
$P$ only if $Q$.
$Q$ if $P$.

But I am unable to correlate these sentences with the following logic.
Even though the truth table is very simple, I don't want to remember it without knowing its actual meaning.
$$\begin{array}{ |c | c || c | }
  \hline
  P & Q & P\Rightarrow Q \\ \hline
  \text T & \text T & \text T \\
  \text T & \text F & \text F \\
  \text F & \text T & \text T \\
  \text F & \text F & \text T \\ \hline
\end{array}$$

REPLY [2 votes]: Here's a good rule to follow when you're at a university (or working on the job):
"If the fire alarm is going off, you are to go outside"
This can be expressed as P -> Q:
P = "Is the alarm going off?"
Q = "Are you going outside?"
\begin{array}{|r|r|r|} \text{P} & \text{Q} & \text{Answer} & \text{Have you followed the rule?} \\ \hline
 \text{F} & \text{F} & \text{T} & \text{Yes, the rule has been followed} \\ \hline
 \text{F} & \text{T} & \text{T} & \text{Yes, the rule has been followed (you can still go outside during a break)} \\ \hline
 \text{T} & \text{F} & \text{F} & \text{No, the rule has been broken!} \\ \hline
 \text{T} & \text{T} & \text{T} & \text{Yes, the rule has been followed} \\ \hline
\hline
\end{array}