soteriology = the theology of salvation
There is an "ology" for just about every theological subject... the study of a specialized area.
Arminians = those who follow a line of Soteriological thinking as started by the theologian Jacobus Arminius. The five key points of this thinking, called The Articles of the Remonstrance:
(1) The Fall left man spiritually very sick but not in a state of total incapacity. He still has some freedom to good. His will is not entirely enslaved to a sinful nature. He needs only God's assistance in his coming to conversion. In this he brings his own faith and his own willingness.
(2) Accordingly, Election is based upon foreknowledge. God foresees who will be willingly disposed and who Will refuse, and elects those whom He knows will assent. If some oversimplification is permitted it might be said that Arminians held that God's foreknowledge related to those who would seek salvation. In the Lutheran system this foreknowledge related to those who would not resist God's call. In the Methodist system God's foreknowledge related to these who He knew would persevere.
(3) Christ died for all men, for the salvation of all men was God's original plan. It is not God's will that any should perish but, having been given freedom, man is able to accept or reject salvation and only a few are saved. (The fourth point was joined to this third point, though these two points are generally set forth as two separate articles.)
(4) Man is entirely free to resist the grace of God.
(5) Even after yielding to God and accepting the Lord as Savior, a man may so resist the influence of the Holy Spirit thereafter in his life that he becomes a castaway, a reprobate, disapproved, "turning again to his former wallowing," and so in the end losing his salvation.
(above clipped from here: http://custance.org/old/grace/ch5.html )
Some, myself included, consider Arminianism to be Biblically unsound.
Peace,
JWinNC