Several times I've noticed someone who is not a Calvinist insisting that they are not an Arminian, complaining that Calvinists call anyone who isn't a Calvinist an Arminian. I don't think most Calvinists really do this. For instance, most Calvinists will say that someone who denies Limited Atonement but insists on all four other points of Calvinism is not really a Calvinist. But they won't tend to call such a person an Arminian. As I understand the standard Calvinist use of the label 'Arminian', Arminians deny predestination except in the weakened sense that God knows what people will choose and thus elects people on that basis, and they deny irresistible grace. Is everyone who does one of those things an Arminian? Is everyone who does both of them an Arminian? These are necessary conditions for being an Arminian, but is either sufficient by itself? Are they jointly sufficient, or does Arminianism require departing from Calvinism even more? I'm not sure what most Calvinists say about that, and I'm much less sure what others besides Calvinists would say. One thing I'm sure of is that denying perseverance of the saints entails Arminianism to most Calvinists. If you think a genuine believer who has experienced the full grace of God can lose salvation, then you are an Arminian to most Calvinists. That view is sufficient for being an Arminian, as most Calvinists use the term.
So here's my question. What exactly does it take to be an Arminian? Is it really unfair to throw the word around in the ways I've just mentioned? I'm asking in full honesty. I don't know how people making this complaint think of Arminianism and why they don't consider themselves Arminians. I also don't know if the standard usage in theology today (as opposed to what Arminius himself said) fits with this complaint. Thus I'm a bit curious to see what others think about this.