Hoeksema has always maintained that there are four indispensable elements which constitute the idea of offer. First of all, the term contains the idea of an honest and sincere desire on the part of the offerer to give something. Without such an earnest will and desire on the part of him who makes the offer, the offer would not be honest or upright. Second, there is included in the idea of offer the fact that the offerer possesses that which he extends to some person(s). In the event of acceptation the offerer must be in a position to impart that which is offered. Third, the offerer reveals by his offer the desire that it be accepted. This means that God “de ernstige begeerte openbaart, dat alle menschen zullen zalig worden, ieder, hoofd voor haofd on ziel voar ziel.” Four, the one who offers something does so either unconditionally, or upon the condition that he is aware that the recipients of the offer are able to fulfill the condition. This would imply that God knows that all men are able to accept the offer of grace. If anyone of these elements is eliminated from the concept, the idea of offer is no longer retained. It is apparent that so conceived the idea of a gospel offer would deny such Biblical truths as unconditional election, limited atonement, total depravity and irresistible grace.
A.C. de Jong, The Well-Meant Gospel Offer: The Views of H. Hoeksema and K Schilder, (Franeker: T. Wever, 1954), 43. [C.f., de Jong on the offer.]