This paper contains five observations concerning the intended meaning of th
e intuitionistic logical constants: (1) if the explanations of this meaning
are to be based on a non-decidable concept, that concept should not be tha
t of 'proof'; (2) Kreisel's explanations using extra clauses can be signifi
cantly simplified; (3) the impredicativity of the definition of double righ
t arrow in terms of 'proofs from premises' results in a loss of the inducti
ve character of the definitions of \/ and There Exists and (5) the same occ
urs with the definition of For All in terms of 'proofs with free variables'
.