This is true in the most common sense. Your example proves this. For humans foreknowledge does not equal predestination. But, just because this is true of humans does not mean it is true of God. This is because human foreknowledge is qualitatively different than God's foreknowledge, and humans cannot predestine anything at all, whereas God can and does.
First, human foreknowledge is always fallible. In a very real sense, I could argue that humans have no foreknowledge, but rather have fore-estimation. This is because there is not a single thing in this created universe that human can possible foreknow. Rather, he can make a guess as to whether something will happen, sometimes with a great deal of accuracy. However, foreknowledge is impossible for a human being. James 4:13-16 makes this clear.
Second, since God's foreknowledge is infallible and exhaustive, one has to ask the question, "From where did this foreknowledge come?" Well, the only answer one can give without doing violence to the nature of God is to say, as "twin1954" did above:
If one denies this, then they affirm that God at some point learned something, which is blasphemy and would deny foreknowledge in the first place, which destroys the original statement. So, to deny predestination is to deny foreknowledge altogether, which is why, for God (not human beings), foreknowledge is foreordination (predestination).
I am not denying your statements,but as well I cannot limit God.
What purpose would God have to place the tree of knowledge in the garden,then tell Adam not to eat?
God neither respects or tempts any man.
When we look at God being made flesh in Christ we see God as a man who layed
down his life and set aside his power to destroy his persecutors.
God and Christ are one as well the Holy Spirit.
John: 10. 37. If I do not the works of my Father, believe me not. 38. But if I do, though ye believe not me, believe the works: that ye may know, and believe, that the Father is in me, and I in him.
Hypothetical question :would it be possible for God having died for our sins,to set aside his foreknowledge and allow mankind to choose life in Christ or choose death and eternal seperation from God?
There is another factor to look at: what is the purpose of Satan?
We know God Tempts no man ,yet God allowed his incarnated being to be tempted from Satan.
Satan knew if he as much as fell down Angel's would prevent his harm,yet God was made of flesh and Blood.
Demons cried out before him,oh son of David it is not yet our time, and they tremble at his name.
What is the purpose of our persecution from the under world.
James: 1. 12. Blessed is the man that endureth temptation: for when he is tried, he shall receive the crown of life, which the Lord hath promised to them that love him. 13. Let no man say when he is tempted, I am tempted of God: for God cannot be tempted with evil, neither tempteth he any man: 14. But every man is tempted, when he is drawn away of his own lust, and enticed. 15. Then when lust hath conceived, it bringeth forth sin: and sin, when it is finished, bringeth forth death. 16. Do not err, my beloved brethren.
1 Peter: 1. 1. Peter, an apostle of Jesus Christ, to the strangers scattered throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia, 2. Elect according to the foreknowledge of God the Father, through sanctification of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ: Grace unto you, and peace, be multiplied. 3. Blessed be the God and Father of our Lord Jesus Christ, which according to his abundant mercy hath begotten us again unto a lively hope by the resurrection of Jesus Christ from the dead, 4. To an inheritance incorruptible, and undefiled, and that fadeth not away, reserved in heaven for you, 5. Who are kept by the power of God through faith unto salvation ready to be revealed in the last time. 6. Wherein ye greatly rejoice, though now for a season, if need be, ye are in heaviness through manifold temptations: 7. That the trial of your faith, being much more precious than of gold that perisheth, though it be tried with fire, might be found unto praise and honour and glory at the appearing of Jesus Christ:
One more consideration is the mercy of God ,and being saved by grace through faith.
Just some things I have pondered I do not want to debate or have any gotcha motives.