When καί stresses a verb in interrogative and conditional sentences it is often to be rendered by an emphatic auxiliary, often by at all. Thus, πολλάκις ἐσκεψάμην τί καὶ βούλεσθε
εἰ δεῖ καὶ μῦθον λέγειν καλόν
a. In affirmative independent clauses or sentences καί often has an emphasis which is difficult to render; as
ὁ κίνδυ_νος νῦν δὴ καὶ δόξειεν ἂν δεινὸς εἶναι
Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].