"Conception" can mean the germinal aspect of something, or it's very beginning (like "inception"), or how it came to exist; but it's also used to mean the way person A looks at (or conceives [of] something, compared with the way person B looks at that same thing. Two conductors may have disparate conceptions of how a particular work should be performed. Two posters may have differing conceptions of the meaning of a sentence.
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