Traditional philosophical problem arises from the distinction between being and non-being, something and nothing, what is and what is not. The objective of this paper is about proving that the distinction can be a framework for conflict resolution, by showing the problem to be a result of misunderstanding of the logical relations of the units. Two study questions are developed to guide the research: (i) what is the nature/structure of the logical relation between being and non-being, and (ii) how does an understanding of that relation feed into conflict and peace discourse. The two research questions are contextualized or articulated under the following conceptual frameworks: (i) Parmenidian disjunctive ontology, and (ii) Heideggerian conjunctive ontology. In conclusion, the paper proves Hedeggerian conjunctive ontology to be adequate framework for negotiation of conflict, by showing conflict to be a result of the Parmenidian error of misunderstanding the logical relation of being and non-being as disjunctive rather than conjunctive.