illegally
From LSJ
τὰ δὲ πεπερασμένα πεπερασμενάκις ἀνάγκη πεπεράνθαι πάντα → and the product of a finite number of things taken in a finite number of ways must always be finite
τὰ δὲ πεπερασμένα πεπερασμενάκις ἀνάγκη πεπεράνθαι πάντα → and the product of a finite number of things taken in a finite number of ways must always be finite
adv.
P. παρανόμως. Act illegally, v.: P. παρανομεῖν.