Maybe if you edited your original post to better explain the answer you're looking for, someone could give it to you.
My own guess, as not-a-physicist, is that physicists expect the predictions made by existing science and their hypotheses to eventually be observed through experimentation. Given what we know, we can predict that some particles/types of particles should exist; projects like the LHC are created to test these predictions.
Or to put it simply: physicists might expect an upper bound on particle types because the available science doesn't suggest there should be an unlimited number of types of particles.