Oh Hydrogen, please don't patronise me. If you want to feel like to brotherly figure giving me some life lessons, go ahead. Don't assume I don't already know such things about people and their preferences. The fact is, we weren't discussing people, but rather electoral systems. We can state certain facts about electoral systems, given certain assumptions about the agents in them, which may or may not be reasonable. Given those assumptions, you really have to realise that your opinion doesn't matter. You can quibble with the assumptions all you want, but not the argument.
"There are many ways to re-organize or restructure the electoral system. Some will be better than others, some worse; but people will have different points of view on these things. If you believe that every vote counts, then you really have no choice but to accept the idea that every different point of view has weight as well - whether you agree with it or not."
Translation: some people will prefer some systems over others based on their value system.
True enough. But it is entirely fair to say that if we take value X (fairness, representativeness, effectiveness, etc.) to be the deciding characteristic of electoral systems, you have to admit that
some will be objectively better than others. The subjectivity enters into things when we choose what our objective is, but not in terms of assessing electoral systems in terms of those objectives. Can you at least agree on that?
I am not refusing to acknowledge rational arguments - mathematical or otherwise.
You are, actually. You disagreed with the definition of strategic voting because you didn't like the connotation of the term, regardless of its definition given the context. That is irrational. Again, you dislike that term because of the connotation. You bring up anecdotal evidence in an attempt to refute statistics. This is irrational.
Abstractions are necessary for anyone to interact with the world. If you didn't use abstractions in your everyday life, you couldn't function in response to the dizzying array of sensory information. You couldn't make decisions without the simplifying assumptions that abstractions allow. Whether you like it or not, abstractions are vital to everything humans do, including voting systems. While it's true that no abstraction or model perfectly predicts the behaviour of humans in any particular way, good models do a pretty good job. Whether you like it or not, you and I are both talking about abstractions of the way in which people vote. Don't draw any lines between you and I here, just because my arguments are based on models that are better defined in terms of assumptions than yours doesn't mean I'm some clueless academic locked away in the reality I create in my own mind. Well, that is no more true of me than you, at least.
As far as giving equal weight to people's opinions, as nice as that sounds, it just isn't a very good idea. If you had an illness, would you poll your friends and family to ask them what was wrong with you, or would you consult a doctor? Same goes for anything in life that requires expertise in some form of modelling.
Same goes with an army of climatologists saying that given the evidence they present and the models they employ, they consider global warming to be a significant threat that is currently happening. You might think that we had a couple of cold days last winter means that global warming isn't happening, but frankly, your anecdotal analysis is given far less weight than those who are experts in the field. May not fit into your warm and fuzzy view of the world, but that's how it is.