The idea that a loving God would not punish those who rebel against Him comes out of humanist philosophy,
I'd suggest the idea that Love Omnipotent would not endlessly torment or snuff out anyone forever comes out of Scripture:
I think it(aidios) was a superior word to use relative to the ambiguous aion & aionios, if God was a believer in endless punishment. Moreover, as opposed to aion and aionios (which are often used of finite duration), God had a number of other words & expressions available that would also have better served to express endless punishment, if Love Omnipotent were a believer of such. But He never uses such of eschatological punishment. So the reasonable conclusion is that Love Omnipotent rejected using such words and expressions of a final destiny of endless punishment because He knew better & He rejected the notion that anyone will endure endless punishment. Those words & expresssions are:
1. no end (Lk.1:33)...this expression is used of God's kingdom having "no end". It is never used of anyone's torments or punishment. We never read of anyone receiving torments that will have "no end". This unambiguous phrase, "no end", would have been a superior choice to the ambiguous words aion & aionion, if Love Omnipotent had a belief in endless torments or annihilation. But He rejected its use in expressing such a fate.
2. endless (1 Tim.1:4)...Again if Love Omnipotent believed in endless torments, why didn't He use this word to express it, instead of the ambiguous aion & aionion, which often refer to finite durations in ancient Greek usage?
3. never (Mt.7:23, etc)...this word appears to occur 16 times in the NT & it seems that it never means anything except "never". It is used of "love never fails" (1 Cor.13:8). It also occurs in Mt.7:23 where Jesus says "I never knew you; depart you from Me, those working lawlessness." Which is such an incredibly lame remark, if Love Omnipotent believed in endless torments. If He believed that such an unspeakably horrific final destiny awaits the wicked, including those He was referring to in Mt.7:23, why didn't He make it clear by telling them that they would "never" be saved and/or He would "never" know them? Would that not have been clear & unambiguous, unlike the words He spoke, & unlike the ambiguous aion & aionios, which often refer to finite duration in ancient Koine Greek? OTOH consider re the use of the word "never":
"Philo saith, “The punishment of the wicked person is, ζην αποθανοντα αει, to live for ever dying, and to be for ever in pains, and griefs, and calamities that never cease..."
http://biblehub.com/commentaries/benson/mark/9.htm
Yet Scripture - never - uses such language. Moreover, it speaks of death being abolished, not being "for ever".
4. eternal (Rom.1:16; Jude 1:6)...this word, AIDIOS, is used of God's "eternal" power & "eternal" chains that bind until the day of judgement. It is never used of anyone's final destiny. We never read of anyone being tormented for eternal ages. We never read of anyone suffering eternal (AIDIOS) punishment. If Jude believed in endless punishment, he had the perfect opportunity at Jude 1:6 by simply adding that the angels would suffer the judgement of eternal (AIDIOS) punishment or torments. Instead of warning his readers of such a horrificly monstrous fate, as he should have been morally obligated to do if it were a real possibility, instead he conveys the relatively utterly lame & insignificant info that these angelic beings will be kept in chains until judgement day. OTOH, consider:
"Instead of saying with Philo and Josephus, thanaton athanaton, deathless or immortal death; eirgmon aidion, eternal imprisonment; aidion timorion, eternal torment; and thanaton ateleuteton, interminable death, he [Jesus] used aionion kolasin..."
http://www.tentmaker.org/books/prevailing/upd3.html
"Nyssa defined the vision of God promised there as "life without end, eternal incorruption, undying beatitude [ten ateleuteton zoen, ten aidion aphtharsian , ten athanaton makarioteta]." ("Christianity and Classical Culture: The Metamorphosis of Natural Theology in ..." By Jaroslav Pelikan, p.165 @):
https://books.google.ca/books?id=3V...5DMMQ6AEIODAE#v=onepage&q=ateleuteton&f=false
5. unfading (1 Pet.1:4; 5:4)...Peter uses this word of an endless inheritance reserved in heaven & a crown of glory. It is never used of the endless pain, punishment or torments that anyone will receive. Can it be denied that this would have been a superior word (over aion & aionios) to use to express such a horrific destiny if Love Omnipotent actually had such in store for anyone? Wouldn't He want to express warnings about it in the clearest ways possible?
6. found no place for repentance (Heb.12:17)...is used in Heb.12:17 of the loss of a finite earthly blessing..."he found no place of repentance, although having earnestly sought it with tears". Never is it used regarding those in Gehenna, Hades, the lake of fire, or eschatological punishment. Never do we read of those cast into any "hell" that they will not (or never) find a place of repentance, even though they earnestly seek it with tears. God was quite capable of expressing such in His Holy Scriptures. But rather than give such a warning, as Love Omnipotent should have if such an unbelievably horrific future awaited anyone, instead we are told of the relatively lame loss of a finite earthly blessing. Such a waste of words if endless punishment were really true.
7. In Mt.18:6 is the lame warning of a punishment which is compared to mere drowning, which is nothing compared to being kept alive for the sole purpose of being tortured for all the "endless" ages of eternity that have "no end" & "never" cease. Jesus says it is "better for them to have a large millstone hung around their neck and to be drowned in the depths of the sea". OTOH, if He had been a believer in endless punishment, He could have expressed that by saying it is better for them to have never lived, never been conceived, or that their parents had never known (had sex with) one another. Compare this anti-biblical Jewish view that the Lord Jesus Christ, Love Omnipotent, rejected:
"To every individual is apportioned two shares, one in hell and one in paradise. At death, however, the righteous man's portion in hell is exchanged, so that he has two in heaven, while the reverse is true in the case of sinners (Ḥag. 15a). Hence it would have been better for the latter not to have lived at all (Yeb. 63b)."
http://www.jewishencyclopedia.com/articles/6558-gehenna