Let p represent the statement "I will reach the station in time" and let q represent the statement "I will miss the train". Convert each compound statement into symbols.

Question

I shall reach the station in time otherwise I shall miss the train.

Answer 1

P v ~P (P or not P)

or P v Q (where Q=~P)

It's a tautology, an always true statement. But this uses the inclusive "or" for v, the logical disjunction

If P and Q cannot both be true, if they are disjoint, non-overlapping events, but together exhaust all possible events, then you might want to add more symbols, or a different symbol

(PvQ) ^ ~(P^Q) This uses the exclusive "or" (P or Q but not both P and Q) or exclusive disjunction

^ is the conjunction

Another symbol that does it more briefly is not on my typewriter. It's a small circle with a cross inside it. It stands for the exclusive "or"

P 0 Q, is as close as I can type it, Just image a cross inside that 0, connecting the top and bottom of 0 and a horizontal line connecting the left and right edges of the 0