The word 冒昧 is formed by combining two characters, each contributing a vivid, metaphorical layer to the overall meaning. 冒 (mào) originally depicted a hat covering the eyes, conveying the idea of acting rashly, "overstepping", or venturing forward without proper regard. 昧 (mèi) depicts the sun (日) hidden, suggesting darkness, obscurity, or ignorance. Together, they create a compound image: to "rashly step into the darkness", or to act forwardly despite being unaware or improperly informed, which perfectly captures the sense of presumptuousness or taking a liberty.