It is not clear the ontological status of meaning. Think of what it means for the word 'plus'. If the word 'plus' is the same as '+', one question to ask is how a person come to learn the meaning of plus? I know someone teach the meaning to you, but the deeper question is how this process is possible at all. When you are a child, someone had to teach you "1+1=2", "2+3=5" etc. There are infinity many arithmetic statements with the symbol '+'. You can only read, and memories finite many of these statements. This means that there are infinite many arithmetic statements concerning '+" that you never saw, or learn about. How is it possible you are able to learn what '+' mean? The second problem of leaning the meaning of an expression is knowing the correct application of the expression. So if an agent A is correct in applying X to situation S. There are again potentially infinite many situations for A to apply X correctly. You can only observe finite many situations for some agent to apply X correctly. Thus, there are potentially infinite many situations that you have not learn how to apply X correctly.
One possible solution is to say you just don` t know what the word 'plus' mean. This seems counterintuitive, but why must something true be intuitive anyway?
The second possible solution is more mystical. There are these crazy spirit like things called meaning that do not take any space, or time. We know what 'plus' mean in a similar way that we know mathematical objects exist.
reference:
Rule-following and meaning - Google Books
Ludwig Wittgenstein (Stanford Encyclopedia of Philosophy)
MindPapers: 2.5c. Rule-Following