Grace Saves All

Grace is amazing. About this all Christians agree. Yet nearly all forms of Christianity put significant limits on grace. Those forms of Christianity which proclaim grace alone actually saves typically don't believe God gives grace to everyone; while those forms of Christianity which proclaim God gives grace to everyone typically don't believe grace alone actually saves. Must grace either be that which saves alone but doesn't go to all, or that which goes to all but doesn't save alone? In Grace S