Intuitionists and classical logicians use in common a large number of the

logical

axioms, even though they supposedly

mean different things

by the logical connectives and quantifiers —
conquans for short. But Wittgenstein says

The meaning of a word is its use in the language

. We prove that in a definite sense the intuitionistic axioms do indeed characterize the

logical

conquans, both for the intuitionist and the classical logician.