As a result of several threads in these forums, I realized that my understanding of the definitions of these two topics are not necessarily shared I think it worthwhile to share my understanding of the terms with some genuine curiosity as to others' understanding.
Apologetics:
My understanding of apologetics is that of defending one's faith in the face of a different point of view. To me, apologetics against another group is non-sensical -- apologetics would be how to explain one's own faith to someone of that faith NOT how to show someone of that faith why they are wrong.
Apologetics (from Greek ἀπολογία, "speaking in defense") is the religious discipline of defending religious doctrines through systematic argumentation and discourse.
Theological discussion:
I distinguish between a discussion about theology in which the focus is on the content of a particular view with no regard as to the accuracy of that view (factual subject to "standard' logic) and a discussion of theology where the focus is on the accuracy of a particular view or a comparison of multiple views to ascertain which theological belief is more accurate (subject to "belief revision" logic). This distinction seems more blurred in the current forums - not only in how information is presented but also in the response of the forum membership.
Occult
A third item that I find my vocabulary seems at odds with other users is "occult" ... I use the same distinction for magic and for occult -- they are broadly religious practices based on the belief that the actions of the practitioner can force/compel a specific response from gods/spiritual world. This is in contrast to the spiritual disciplines where the actions of the practitioner prepares the ground to invite a response from God -- where the initiative remains with God.
No, I would not defend any of the above as a formal definition but they are accurate representations of how the terms are used in my normal social circles and with some, but definitely not all, forum users. At the very least, they should serve as reminders that we need to know what an individual means by a term before getting in a tizzy.