True that (16 characters)

"Proof in logic is merely a mechanical expedient to facilitate the recognition of tautologies in complicated cases."

"The propositions of logic are tautologies. Therefore the propositions of logic say nothing. "

"What belongs to its application, logic can not anticipate."

"And this is what we do, when we "prove" a logical proposition. For, without bothering about sense or meaning, we construct the logical proposition out of others using rules that only deal with signs."

Ludwig Wittgenstein --Tractatus Logico-Philosophicus

Is probabllity logical? I'm sure insurance companies would say yes.

Are moral arguments logical? Usually they serve a purpose for the greater good, therefore the arguments often are based on the ethics and reason the makers posess.

Is there something clear and specific that is being asked by the question, is X logical? What is it? Surely depends on the context, but usually it's infantile logic to ask in such way.

It seems to me that logic can only be founded on the transcendental. To formalize logic is to formalize the intuition that a = a. Of course synthetic propositions are more complicated. Our tendency toward self-deceit or bias must be considered. Our desire for status, the anxiety of influence, cultural preconceptions, etc. etc. etc.