1. God truly loves all persons.Now, the anti-Calvinist argues that God can save everyone by giving everyone "irresistible grace". Since He doesn't, the Calvinists are wrong. I have to say that "proving" that Calvinists are wrong here doesn't help the rest. There is a necessary breakdown someplace. We know that #4 doesn't happen, so what went wrong? Does God not "truly love" all persons? Or perhaps His hands are tied and He is incapable of saving everyone? In short, does He lack the desire or the ability to accomplish what this logical sequence suggests must be accomplished?
2. To truly love someone is to desire their best.
3. The best for all persons is to be found in a right relationship with God, a saving relationship in which we love and obey Him.
4. Therefore, all persons will be saved.
Luckily for me it is not my assignment to straighten everyone out on this, so you're on your own here. But be careful about going places like "God is incapable" or "God doesn't love" with impunity. You'd better have good, logically consistent, biblically consistent reasons for one of those. I'm not offering answers here. I'm just asking you -- you the Calvinist or you the non-Calvinist (obviously excepting the Universalist) -- to see that you (yes, all of you) have a dilemma to resolve here. There are answers, and we are commanded to "be ready to give a defense for the hope that is in you." (1 Peter 3:15)
It is clear to me from comments and responses that this post was largely baffling. More than one thought it was a "Calvinist versus everyone else" argument. Some thought I was trying to prove Universalism. One said that this argument appears sound and nearly does prove Universalism. (How "nearly" works into this I can't tell.) It appears to be poorly considered on my part to engage my readers with a question of logic when it contains in it a component commonly producing much emotion. My mistake. Most people cannot both think and feel at the same time, and if feelings are first engaged, thinking is typically subverted.
The argument does not prove that Calvinists are wrong. If allowed to stand, it proves that Christianity is wrong. That is, Christ, with all His references to eternal flames and torment, was mistaken. Sinfully mistaken. The argument does not favor Arminians. They, like Calvinists believe that not all are saved, as does anyone else who is a Christian of any biblical nature. It doesn't even favor "Leftist Christians" who like to be more generous with their "salvation" because if the argument stands and all are not saved, God fails for them, too.
A few of you engaged the argument itself, and I appreciate that. The argument, as it turns out, is not sound. Its premises are vague and, in the end, faulty. Therefore, its conclusion is false. There, now we can all go home and forget about those nasty Calvinists ... or Arminians ... or whatever stripe you care to dislike. As for me, I've learned a valuable lesson.