In one of his letters on the importance of Systematic Divinity, Andrew Fuller deals with the seeming inconsistency between Divine predestination and human responsibility. He points out the difference between the reasoning of the fleshly mind versus the Christian.
A fleshly mind may ask, “How can these things be?” How can Divine predestination accord with human agency and accountableness? But a truly humble Christian, finding both in his Bible, will believe both, though he may be unable fully to understand their consistency; and he will find in the one a motive to depend entirely on God, and in the other a caution against slothfulness and presumptuous neglect of duty. And thus a Christian minister, if he view the doctrine in its proper connexions, will find nothing in it to hinder the free use of warnings, invitations, and persuasions, either to the converted or the unconverted. Yet he will not ground his hopes of success on the pliability of the human mind, but on the promised grace of God, who (while he prophesies to the dry bones, as he is commanded) is known to inspire them with the breath of life.
– Andrew Fuller
I quoted Spurgeon here in a similar post a while back.