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Ok, let's try. The quote you gave comes from the New Testament / Brit Chadashah, which was originally written in Greek, I think? The "Jacob I loved, Esau I hated" comes from the Old Testament / Tanakh.
The quote you would like to discuss now is:
Luke 14 (ESV)
26 "If anyone comes to me and does not hate his own father and mother and wife and children and brothers and sisters, yes, and even his own life, he cannot be my disciple. 27 Whoever does not bear his own cross and come after me cannot be my disciple.
as both God and Yeshua ha'Mashiach / Jesus the Mesiah "hates" unrighteousness, we are called upon to "hate" the unrighteous ones that do not bear their own cross and follow him in righteousness together with us, even our old selves. If they are also following him, we are walking together, following Yeshua ha'Mashiach / Jesus the Mesiah.
1 Corinthians 5 (ESV)
11 But now I am writing to you not to associate with anyone who bears the name of brother if he is guilty of sexual immorality or greed, or is an idolater, reviler, drunkard, or swindler—not even to eat with such a one. 12 For what have I to do with judging outsiders? Is it not those inside the church whom you are to judge? 13 God judges those outside. "Purge the evil person from among you."
The quote you would like to discuss now is:
Luke 14 (ESV)
26 "If anyone comes to me and does not hate his own father and mother and wife and children and brothers and sisters, yes, and even his own life, he cannot be my disciple. 27 Whoever does not bear his own cross and come after me cannot be my disciple.
as both God and Yeshua ha'Mashiach / Jesus the Mesiah "hates" unrighteousness, we are called upon to "hate" the unrighteous ones that do not bear their own cross and follow him in righteousness together with us, even our old selves. If they are also following him, we are walking together, following Yeshua ha'Mashiach / Jesus the Mesiah.
1 Corinthians 5 (ESV)
11 But now I am writing to you not to associate with anyone who bears the name of brother if he is guilty of sexual immorality or greed, or is an idolater, reviler, drunkard, or swindler—not even to eat with such a one. 12 For what have I to do with judging outsiders? Is it not those inside the church whom you are to judge? 13 God judges those outside. "Purge the evil person from among you."
You used a Hebrew term hate
I showed where Jesus would have used that same term
Now either you take Jesus literally and declare he is commanding you to hate those peiple
or realize the word hate can also
Be seen as love less
In other words in English we would say if you do not Love me above all others. In Jesus words If you do not hate
Same meaning