How can God hold the non-elect responsible for ‘not believing’ and damn them for it, when He deliberately did not give them the faith to enable them to believe in the first place?
Does God owe any man the gift of faith ? No
Are all men under a solomn duty to obey the Gospel and believe on Christ ? yes.
Are all men without excuse ? yes
Romans 1-2
everyone knows God exists ;
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18] For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who hold the truth in unrighteousness;
[19] Because that which may be known of God is manifest in them; for God hath shewed it unto them.
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20] For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse:
[21] Because that, when they knew God, they glorified him not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened.
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22] Professing themselves to be wise, they became fools,
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23] And changed the glory of the uncorruptible God into an image made like to corruptible man, and to birds, and fourfooted beasts, and creeping things.
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24] Wherefore God also gave them up to uncleanness through the lusts of their own hearts, to dishonour their own bodies between themselves:
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25] Who changed the truth of God into a lie, and worshipped and served the creature more than the Creator, who is blessed for ever. Amen.
all men have been given a conscience :
Rom.2
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1] Therefore thou art inexcusable, O man, whosoever thou art that judgest: for wherein thou judgest another, thou condemnest thyself; for thou that judgest doest the same things.
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2] But we are sure that the judgment of God is according to truth against them which commit such things.
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3] And thinkest thou this, O man, that judgest them which do such things, and doest the same, that thou shalt escape the judgment of God?
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4] Or despisest thou the riches of his goodness and forbearance and longsuffering; not knowing that the goodness of God leadeth thee to repentance?
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5] But after thy hardness and impenitent heart treasurest up unto thyself wrath against the day of wrath and revelation of the righteous judgment of God;
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6] Who will render to every man according to his deeds:
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7] To them who by patient continuance in well doing seek for glory and honour and immortality, eternal life:
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8] But unto them that are contentious, and do not obey the truth, but obey unrighteousness, indignation and wrath,
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9] Tribulation and anguish, upon every soul of man that doeth evil, of the Jew first, and also of the Gentile;
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10] But glory, honour, and peace, to every man that worketh good, to the Jew first, and also to the Gentile:
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11] For there is no respect of persons with God.
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12] For as many as have sinned without law shall also perish without law: and as many as have sinned in the law shall be judged by the law;
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13] (For not the hearers of the law are just before God, but the doers of the law shall be justified.
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14] For when the Gentiles, which have not the law, do by nature the things contained in the law, these, having not the law, are a law unto themselves:
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15] Which shew the work of the law written in their hearts,
their conscience also bearing witness, and their thoughts the mean while accusing or else excusing one another