In more detail, more precisely, to be more precise?

1) “However, one might object that, in the texts examined, Sextus theorizes about the means for and the hindrance to the attainment of unperturbedness and happiness, as well as about the nature of some states of mind. In more detail, Sextus asserts, firstly, that the holding of beliefs directly or indirectly brings about perturbation and unhappiness, and that because of this it must be considered as something objectively bad. Secondly, Sextus believes that the core component of human happiness is unperturbedness in matters of opinion, and that this state of mind is hence by nature good or to be pursued.”

2) “The reason why the Skeptic does not stop being a Skeptic, even if he abandons his search for ataraxia or his philanthropia, or does not become unperturbed after suspending judgment, is that these circumstances do not entail the loss of his suspensive attitude and his living by appearances, in which the distinctive character of his philosophy seems to lie. More precisely, the first distinguishing trait of the Pyrrhonean outlook is…”

I’m not sure which expression I must use in these two cases.

Thanks,

Sextus