σκιαμαχία
From LSJ
οὗτος μὲν ὁ πιθανώτερος τῶν λόγων εἴρηται, δεῖ δὲ καὶ τὸν ἧσσον πιθανόν, ἐπεί γε δὴ λέγεται, ῥηθῆναι → this is the most credible of the stories told; but I must relate the less credible tale also, since they tell it
English (LSJ)
ἡ,
A a fighting against a shadow: esp. a form of exercise with hands and feet, Ph.1.153. 2 metaph., fighting with a shadow, mock-fight, 'beating the air', Cic.Fam.11.14.1 (pl.), Plu.2.514d, Eust.663.16; title of satire by Varro, Non.p.190 L.—σκιομαχία is a later form, Gal.6.146.