We have cals that say irrestible grace from god to the elect
Arms that adhere to ressistible Grace applying to the elect
IF one holds to JUST needing to have Gospel preached in order to those to become saved...
is there a real name placed on that type of Sotierology? NOT no name non cal etc
is there a real theological system name?
Like Bro. TCGreek said, I think you are looking for the "Pel" or "Semi-Pel" theology, I guess.
Man does not have the faculties to come to God on his own. First, he needs to be called by God(you can't answer the phone before it rings), and then, and only then, can you approach Him. When God calls, He gives us faith to believe. Its only those who put their faith to use(by praying, seeking, reading, listening to God-filled sermons), that are saved. IOW, just because God gives someone the ability to believe(give him/her faith), does not mean they will put it to good use. When God calls someone, if they heed to His calling, it will cause a Godly sorrow to be placed in their life(2 Cor. 7:10), and this will lead them down a road of repentance, and then to the foot of the Throne, and then salvation.
But man can not and will not save himself. This comes solely from God. It is by His Grace that anyone is saved, it is by His Grace that we live, move and have our being. It is by His Grace that we will make it home, when He calls our name the last time.