Full Idea
Among the virtues of classical logic is the fact that the connectives are related to one another in elegant ways that often involved negation. For example, De Morgan's Laws, which involve negation, disjunction and conjunction.
Gist of Idea
In classical logic the connectives can be related elegantly, as in De Morgan's laws
Source
Edwin D. Mares (Negation [2014], 2.2)
Book Reference
'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.183
A Reaction
Mares says these enable us to take disjunction or conjunction as primitive, and then define one in terms of the other, using negation as the tool.