1) 3. The hypothesis [a limitation of sin to Christ] renders the salvation of any besides the elect a natural impossibility. We are accustomed to say, and we say truly and scripturally, to sinners of mankind, that if they are not saved, the fault is entirely their own, lying solely in their own unwillingness to have the salvation offered them, or to accept it on the terms on which it is presented. But on the supposition of limitation in the atonement, this is not the case. There is, indeed, indisposition on their part; and it is their sin. But if the atonement be limited in its sufficiency, it is, in the nature of the thing, absurd and contradictory so much as to imagine any, beyond the number to the amount of whose sins it is restricted, deriving any benefit from it. To call on any others to believe in Christ for salvation, is to call them, in as far as they are concerned, to believe in a non-entity. There would be nothing in the Savior for them. They are excluded by the limitation of the remedy. For them to seek salvation would be to seek an impossibility. Were they ever so desirous of it, they could not obtain it; for the impossibility would, in this case, arise, not from their own impotence,–(their moral impotence, which is the same thing as their proud and unholy aversion, and constitutes their guilt,)–but from the very nature and constitution of the plan of redemption. If the atonement made has been equivalent to only a limited amount of sin, and if atonement be necessary to forgiveness,–then beyond the limited amount, no sin can possibly be forgiven. There is no provision for it.
4. This being the case, it will be difficult, on such a hypothesis, to vindicate, in any way, the sincerity of those divine addresses by which sinners universally are called upon to believe and be saved. If there do not exist, in the atonement or propitiation made, what has appropriately been termed an objective sufficiency for all–there really exists no ground on which sinners in general can be invited to trust. Such invitation becomes no better than a tantalizing of perishing creatures, with the offer of what has no existence. There is nothing which it is, in the nature of the thing, possible for them to receive, unless a new atonement were to be made. There is no fund from which their debts can be paid. They are invited to a feast; but there is no provision made for them. They are called to the wells of salvation; but to them they are "wells without water." An all-sufficient Saviour, becomes, in addressing sinners indiscriminately, a designation destitute of truth, a mere "great swelling word of vanity.” Ralph Wardlaw, Two Essays: On Assurance and On the Extent of the Atonement (Glasgow, 1830), p. 193-194.1 [Some spelling modernized; some reformatting; underlining mine.]