More precisely or more specifically?

"The fact that the conflicting positions seem to have the same weight renders the conflicts undecidable. More precisely, the Pyrrhonist finds a) an undecidable disagreement among moral doctrines which have differing views about what the good, the bad, and the indifferent are, or about what things these notions apply to; and b) an undecidable disagreement between the doctrines which assert that things are good, bad, or indifferent by nature, and those that deny this."

Is my use of 'more precisely' correct in this context? Or should I say 'more specifically' instead?

Sextus