Theoretically, there comes a point of decreasing returns -- but only if you assume that in order to be a monopoly, a company has to have a centralized power structure. A company that retains umbrella control over a host of subsidiaries but still aggregates the profits from those subsidiaries (Archer-Daniels-Midland, Glaxo-Smith-Kline) avoids almost all of the problems inherent in diseconomies of scale while still retaining the benefits of economies of scale. The latter comes from the natural benefits of moving large volumes of stuff, whereas the former comes from the natural disadvantages of moving large amounts of information -- and there's no specific requirement that doing the former necessitates doing the latter.
Furthermore, since market forces encourage innovation, efficiency, and speed, I maintain that it's a virtual inevitability that the first business to figure out how exactly to get themselves into the situation I just mentioned will almost by definition become a monopoly given no external forces.
More importantly, even if they don't become a literal monoply, it's trivial to demonstrate that any large enough company could easily have monopolistic effects on large segments of the population, leading to the same problems albiet on a non-universal scale.
And for the record, I haven't ever taken an economics class. But I have taken logic, statistics, and reasoning. I also read a lot about a lot of subjects, and economics is one of my favorite -- oh, and I'm a pretty smart guy. I'm not about to let a bit of formal training intimidate me.