νᾶφε καὶ μέμνασο ἀπιστεῖν → keep a clear head and remember not to believe a thing (Epicharmus fr. 250)
P. φιλοπόνως.
zealously: P. and V. σπουδῇ, προθύμως, P. σπουδαίως.
preservingly: V. ἐμπέδως.