Since Jesus Died For Everybody, Salvation/Election Must Be Conditional

Notice that Jesus died for every man:· Hebrews 2:9 … He … should taste death for every man.· I Tim 4:10 who is the Savior of all men, specially of those that believe· I John 2:2 And He is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.· I Timothy 2:6 Who gave himself a ransom for all …Here’s my point: If God unconditionally/unchangeably selected the names of the saved before the foundation of the world, what would be the point in Jesus dying for everybody? Jesus dying for everybody implies everybody has the opportunity to be saved, which necessarily implies that the list of saved people is not unchangeable. Unconditional predestination/election therefore is proven false.