The metaphorical use of "on"

An attempt is made at refuting the idea that figurative uses of prepositions are chaotic. Figurative uses of the preposition on are explained as the result of metaphorical mappings from the physical domain onto abstract domains. The semantic structure of this preposition in the source domain is explained as a conceptual schema (support), which is formed as a combination of three more basic image schemas, namely, the contact schema, the control schema, and the force downwards schema. The Invariance Principle guarantees the preservation of the logic of these image schemas in target domains. The selection of a particular target domain is, therefore, motivated