I am told that every tautological consequence is also a logical consequence, but what would a simple example be of a logical consequence that is not a tautological consequence?
Update To further explain what I have
- $Q$ is a tautological consequence of $P_1...P_n$ if and only if every row that assigns $True$ to each of $P_1...P_n$ also assigns $True$ to $Q$
- If $Q$ is a tautological consequence of $P_1...P_n$ then $Q$ is also a logical consequence of $P_1...P_n$
- Some logical consequences are not tautological consequences.
I understand on how to see if $Q$ is a tautological consequence from a truth-table but not sure on how to know if it is a logical consequence in the absence of a tautological one.