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This paper aims to investigate a concept and scope of ‘incompatible relation’ in major preceding researches of semantics. Concerning a concept of incompatible relation, I draw a distinction between paradigmatic and syntagmatic relation of items. The former of the two could be classified into three different notions again. First, an exclusive relation among words within a lexical field, that is a contrastive relation among co-hyponyms. Second, a relation among words extraneous. Third, a comprehensive term that includes antonymy and co-hyponymy. Through considering each of the notions, I conclude that incompatible relation is not that is limited to paradigmatic relation of level of words but that is regarded as a paradigmatic and syntagmatic relation of several levels. In accordance with this notion, incompatible relation is defined as a relation that imply a contrast(or exclusion) among the random items in a certain dimension. And an extension of incompatible relation covers levels of a ‘concept’, a ‘meaning’, a ‘phoneme’, a ‘morpheme’, a ‘word’, and a ‘sentence’. From among these, it’s a meaning, a morpheme, a word, and a sentence level that have a relationship with semantics. Lastly I commented that incompatible relation implies a paradigmatic irreplaceability and a syntagmatic conflict of semantic feature.