What the Author Weinberger means by his quote “the meaning of a particular thing is enabled by the web of implicit meanings we call the world” is that there is more then one word to describe something. Rather then just looking at the name of something and nothing more, we should look more into the understanding of how everything fits together, its purposes, what it is made out of, how it works, how it helps something etc. So in a nut shell, an object is more then just what is it, it has a relation in the world and to everything around it.
This is very relevant to the third order of order in that looking at objects this way it gives it many terms that it is related to. In the book the example they used was a hammer, by using the third order you could find hammer by typing in tools, wooden tools, nail etc. The hammer is much more than just a hammer, it is something we made with various materials, something we use to connect other things, has a strong correlation to nails etc.
