What William of Ockham is saying here is that only individuals
exist. There is no concept that exists that is made up of more than one individual. Ockham,
unlike Plato, for example, does not believe in the existence of "forms" that include multiple
individuals. Just before the passage you quote, he says that there is no "universal" thing that
exists "outside the mind." This is what he is trying to say in this
passage.
To paraphrase him:
You can't
have a universal concept that is made up of lots of different individuals. You can't, for
example, have a whole lot of things, all of which are called Socrates. Socrates was just one
man. That is why there is no particular (individual) thing that is also universal (made up of
many things).
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