Nick Norelli is not a Calvinist, but in his post What I Like About Calvinism he writes:
I like the logic of it all. The way that the 5 main points of T.U.L.I.P. interlock is something to behold. And it is this logical consistency that has me convinced that there can be no hybrid system of Calminianism or Arvinism (or whatever other strange concoction of a theological buzz-word you can think of). If any one point falls then the system falls.
But this is just what I don’t like about Calvinism: not so much the individual doctrines (although I reject 3½ of the 5 points) as the way they are presented as an unquestionable complete system of doctrine. This is not the biblical way of presenting doctrine. It is not the traditional church way. Come to think of it, it is not even Calvin’s way. But it is the way of people who have made their own logic, or the logic of their theological heroes, judge over the word of God, even over God himself.
Instead, such people should humbly accept that they don’t know the whole truth, that the God whom the heavens cannot contain (1 Kings 8:27) does not live in a box of human making. They should stop relying on systematisations like the Westminster Confession as standards of doctrine. Then they should go back to the Bible, to listening to God speaking to them, and to seeing what he is doing in the world. They need not stop doing theology, but their starting point should be the Bible rather than what old preachers and confessions of faith say, and they should not expect to get many definite answers from their theologising.