We see the meaning without seeing the isomorphism. The most blatant example is human language, where people often attribute meaning to words in themselves, that imbues them with meanings. This is an easy enough error to make. It attributes all the meaning to the object (the words), rather than to the link between that object and the real world.
You might compare it to the naïve belief that noise is a necessary side effect of any collision of two objects. This is a false belief; if two objects collide in a vacuum, there will be no noise at all. Here again, the error stems from attributing the noise exclusively to the collision, and not recognizing the role of the medium, which carries it from the objects to the ear.
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