Worth mentioning that contemporary Western philosophy is often split into analytic and continental branches. Those aren't strictly defined, but in general, philosophers in the analytic tradition will respond to, cite, and apply methods of other analytic philosophers, and likewise continental philosophers often do the same for previous continental philosophers.
Continental Philosophy
"Continental", of course, refers to the continent of Europe, so in that sense it may be more "European". It is also more influenced by the Marx and Freud--not necessarily that any given author agrees with either of them, but that Marxism and psychoanalysis are often something that is considered worth responding to, instead of "dunking on".
Continental philosophers/philosophies you may be familiar with are Camus, Simone de Beauvoir, Nietzsche, existentialism, and (post-)structuralism.
Analytic Philosophy
Huemer is an analytic philosopher, but he's a small corner of a much larger field. Like Huemer, analytic philosophers are often interested in "fundamental" questions like "what exists", "how do we know what exists", etc, and often have somewhat similar argumentation styles to what I've seen from Huemer.
However, you mention you were annoyed by the lack of formal logic in Huemer. In general, the analytic tradition is much more influenced by formal logic and mathematics, and Huemer is a bit of an odd outlier in that respect.
As a quick example, Quine's "On What There Is" is concerned with the question "What does it mean to say 'Pegasus does not exist'?". (Since to speak of an object's nonexistence, we must know the object that we're talking about, which seems to indicate that in some sense, it 'exists'.) Quine resolves this by saying that "Pegasus doesn't exist" is a propositional logic statement, ∀x: NOT Pegasus(x)
. I.E. "Every object which exists does not match the description of Pegasus". If you appreciate the clarity of mathematical logic I think there's lots of analytic philosophy you'd like.
Analytic philosophers/philosophies you may be familiar with are Wittgenstein, Phillipa Foot (trolley problem), Saul Kripke, Karl Popper, John Rawls (veil of ignorance).
Here's a SEP article comparing/contrasting analytic and continental feminist philosopher's approaches. It's not outstandingly written, IMO, but I think it establishes:
- There is overlap between the two traditions.
- The difference isn't in the conclusions they reach--both branches contain both progressives and conservatives.
- The two have different approaches and priorities in their methodology.