Meta is for discussion of topics related to the main site. A perusal of the questions posted here will quickly show you that Meta is not the place to engage in discussions about mathematics, whether they are technical, philosophical, semantical, pedagogical, or any other kind.
So, to answer your last question, Meta is not the appropriate venue for any exploration of mathematics; in particular, it is not the appropriate venue for the exploration of mathematics that you are attempting. See the very first of the Frequently Asked Questions, which is "What kind of questions can I ask here?"
As to the main site, the parallel Frequently Asked Question does not include the type of activity that you seem to want to engage in; to wit, performing your "thought experiments" here. (I am guessing that when you said "I ask the question and I get a variety of answers" that is your description of what a "mathematics thought-experiment is", so that you are looking to ask a question and get a variety of answers). Which seems to be the reason your questions have been down-voted and closed; they are off-topic. If you want to discuss how to ask questions that may be relevant to both your intention and the site, then meta is definitely the place to do it
Note, however, that a wide-ranging, open-ended discussion about mathematics is often not appropriate to either the main or the meta sites. If your intention is to engage in open-ended discussions about the 'new direction in mathematics' (as your meta.SO question called it) that you have opened up, then the main site is probably not the place to do it, either, because the main site is not a Discussion forum.