That is what false religious groups which came into existence after 1845 teach, e.g. JW, LDS, SDA, UPCI, UU, OP, proto-WWCG, anti-trin MJ, kristadelfian, etc. But the truth is the word αιωνιος has always included the meaning "eternal!"
Nine language sources cited. Fourteen total references! 1. NAS Hebrew-Aramaic and Greek Dictionaries, 2. Thayers Lexicon, 3. Vines Expository of Biblical Words, 3 references, 4. Louw-Nida Greek English Lexicon of the NT based on Semantic Domains, 2 references, 5. Theological Dictinary of the New Testament, 6. Abridged Greek lexicon, Liddell-Scott, 7. Enhanced Strongs Lexicon, 3 references, 8. Bauer, Arndt, Gingrich, Danker Greek English Lexicon of the NT and other Early Christian Literature, 9. Concise Greek-English Dictionary of the NT.
Aion, Aionios and the lexicons:
166. αιωνιος aionios; from 165; agelong, eternal: eternal(66), eternity(1), forever(1).
Thomas, Robert L., Th.D., General Editor, New American Standard Hebrew-Aramaic and Greek Dictionaries,
166 aionios- αιωνιος
1) without beginning and end, what has always been and always will be
2) without beginning
3) without end, never to cease, everlasting
---Thayers
2. αιωνιος aionios [166] "describes duration, either undefined but not endless, as in <Rom. 16:25; 2 Tim. 1:9; Titus 1:2>; or undefined because endless as in <Rom. 16:26>, and the other sixty-six places in the NT.
"The predominant meaning of aionios, that in which it is used everywhere in the NT, save the places noted above, may be seen in <2 Cor. 4:18>, where it is set in contrast with proskairos, lit., `for a season,' and in <Philem. 15>, where only in the NT it is used without a noun. Moreover it is used of persons and things which are in their nature endless, as, e. g., of God, <Rom. 16:26>; of His power, <1 Tim. 6:16>, and of His glory, <1 Pet. 5:10>; of the Holy Spirit, <Heb. 9:14>; of the redemption effected by Christ, <Heb. 9:12>, and of the consequent salvation of men, <5:9>, as well as of His future rule, <2 Pet. 1:11>, which is elsewhere declared to be without end, <Luke 1:33>; of the life received by those who believe in Christ, <John 3:16>, concerning whom He said, `they shall never perish,' <10:28>, and of the resurrection body, <2 Cor. 5:1>, elsewhere said to be `immortal,' <1 Cor. 15:53>, in which that life will be finally realized, <Matt. 25:46; Titus 1:2>.
"Aionios is also used of the sin that `hath never forgiveness,' <Mark 3:29>, and of the judgment of God, from which there is no appeal, <Heb. 6:2>, and of the fire, which is one of its instruments, <Matt. 18:8; 25:41; Jude 7>, and which is elsewhere said to be `unquenchable,' <Mark 9:43>.
"The use of aionios here shows that the punishment referred to in <2 Thes. 1:9>, is not temporary, but final, and, accordingly, the phraseology shows that its purpose is not remedial but retributive."
From Notes on Thessalonians, by Hogg and Vine, pp 232, 233. (from Vine's Expository Dictionary of Biblical Words) (Copyright (C) 1985, Thomas Nelson Publishers)
67.96 αιωνιος aji>vdio", on; aijwvnio", on: pertaining to an unlimited duration of time - eternal.
aji>vdio"ò h{ te aji>vdio" aujtou` duvnami" kai; qeiovth" his eternal power and divine nature Ro 1.20.
aijwvnio"ò blhqh`nai eij" to; pu`r to; aijwvnion be thrown into the eternal fire Mt 18.8; tou` aijwnivou qeou` of the eternal God Ro 16.26.
The most frequent use of aijwvnio" in the NT is with zwhv life, for example, i{na pa`" oJ pisteuvwn ejn aujtw/` e[ch/ zwh;n aijwvnion so that everyone who believes in him may have eternal life Jn 3.15. In combination with zwhv there is evidently not only a temporal element, but also a qualitative distinction. In such contexts, aijwvnio" evidently carries certain implications associated with aijwvnio" in relationship to divine and supernatural attributes. If one translates eternal life as simply never dying, there may be serious misunderstandings, since persons may assume that never dying refers only to physical existence rather than to spiritual death. Accordingly, some translators have rendered eternal life as unending real life, so as to introduce a qualitative distinction.
Louw, Johannes P. and Nida, Eugene A., Greek-English Lexicon of the New Testament based on Semantic Domains, (New York: United Bible Societies) 1988, 1989.
αιωνιος aionios. An adjective meaning eternal, and found in the LXX in Pss. 24; 77:5; Gen. 21:33, aionios in the NT is used 1. of God (Rom. 16:26), 2. of divine possessions and gifts (2 Cor. 4:18; Heb. 9:14; 1 Pet. 5:10; 1 Tim. 6:16; 2 Th. 2:16, and 3. of the eternal kingdom (2 Pet. 1:11), inheritance (Heb. 9:15), body (2 Cor. 5:1), and even judgment (Heb. 6:2, though cf. Mt. 18:8; 2 Th. 1:9, where the sense is perhaps unceasing). For a more temporal use, see Rom. 16:25; Phlm. 15.
Kittel, Gerhard, and Friedrich, Gerhard, Editors, The Theological Dictionary of the New Testament, Abridged in One Volume, (Grand Rapids, Michigan: William B. Eerdmans Publishing Company) 1985.
αιωνιος aionios ", ov and a, ov, lasting for an age (aion 3), Plat.: ever-lasting, eternal, Id.
Liddell, H. G., and Scott, Abridged Greek-English Lexicon, (Oxford: Oxford University Press) 1992.
166 aionios { ahee-o-nee-os} αιωνιος
from 165; TDNT - 1:208,31; adj
AV - eternal 42, everlasting 25, the world began + 5550 2, since the world began + 5550 1, for ever 1; 71
GK - 173 { aionios }
1) without beginning and end, that which always has been and always will be
2) without beginning
3) without end, never to cease, everlasting
Enhanced Strongs Lexicon, (Oak Harbor, WA: Logos Research Systems, Inc.) 1995.
CL The Gk. word αιων aion, which is probably derived from aei, always, is distinguished from its Indo-European parallels (Lat. aevum and Eng. aye are cognate) in that it is thought of not so much from the point of view of an abstract period of time as from the point of view of the time in which one has lived. In Hom. aion is often parallel with psyche, soul, life (e.g. Il. 16, 453); in Hesiod (Frag. 161, 1) it denotes a life-span, and in Aeschylus (Sept. 742) a generation. Thence it can mean the time which one has already lived or will live, i.e. it can relate to past as to future. It thus appeared appropriate to later philosophers to use the word both for the dim and distant past, the beginning of the world, and for the far future, eternity (e.g. Plato, Tim. 37d).
Plato (Timoeus, ed. Steph. 3, 37, or ed. Baiter, Orell. et Winck. 712) says, speaking of the universe: "When the father who begot it* perceived that the image made by him of the eternal (aidion) gods moved and lived, he was delighted with his work; and, led by this delight, thought to make his work much more like that first exemplar." Inasmuch therefore as it (the intelligible universe) is an eternal (aidion) animal (living being), so he set about to make this (the sensible) universe such with all his power. The nature therefore of the animal (living being) was eternal (aionios, before aidios), and this indeed it was impossible to adapt to what was produced (to genneto, to what had a beginning); he thinks to make a moveable image of eternity (aionos), and in adoring the heavens he makes of the eternity permanent in unity a certain eternal image moving in number, that which in fact we call time; that is, days and nights, and months and years, which did not subsist before the heaven began to be, then with its being established he operates their birth" (beginning to be, genesin auton). And after unfolding this, he says (p. 38): "But these forms of time imitating eternity (aiona), and rolling round according to number, have had a beginning (gegonen).... Time therefore began with heaven. that they having begun with it may be dissolved with it, if there be indeed any dissolution of them, and according to the pattern of eternal (diaionias, in some MSS. aionion or -as) nature that it might be as like as possible to it. For that pattern exists for all eternity (panta aiona estin on), but on the other hand, that which is perpetual (dia telous) throughout all time has had a beginning, and is, and will be." And then he goes on to speak of stars and planets, etc., as connected with what was created in time. It is impossible to conceive any more positive statement that aion is distinct, and to be contrasted with what has a beginning and belongs to the flux of time. Aion is what is properly eternal, in contrast with a divine imitation of it in ages of time, the result of the creative action of God which imitated the uncreate as nearly as He could in created ages. It is a careful opposition between eternity and ages; and aion and also aionios mean the former in contrast with ages. ]
In Plato the term is developed so as to represent a timeless, immeasurable and transcendent super-time, an idea of time in itself. Plutarch and the earlier Stoics appropriate this understanding, and from it the Mysteries of Aion, the god of eternity, could be celebrated in Alexandria, and gnosticism could undertake its own speculations on time.
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NIDNTT Colin Brown
Aristotle peri ouranou, 1, 9 (ed. Bekker, 1, 279): "Time," he says, "is the number of movement, but there is no movement without a physical body. But outside heaven it has been shewn that there is not, nor possibly can come into existence, any body. It is evident then that there is neither place, nor void, nor time outside. Wherefore neither in place are things there formed by nature; nor does time cause them to grow old: neither is there any change of anything of those things which are arranged beyond the outermost orbit; but unchangeable, and subject to no influence, having the best and most independent life, they continue for all eternity (aiona). For this expression (name) has been divinely uttered by the ancients; for the completeness which embraces the time of the life of each, outside which there is nothing, according to nature, is called the aion of each. According to the same word (logon) the completeness of the whole heaven, and the completeness which embraces all time and infinitude is aion, having received this name from existing for ever (apo tou aei einai), immortal (athanatos, undying), and divine." In 10 he goes on to shew that that beginning to be (genesthai) involves the not existing always, which I refer to as shewing what he means by aion. He is proving the unchangeable eternity of the visible universe. That is no business of mine; but it shews what he means by eternity (aion). It cannot be aidion and genesthai at the same time, when, as in Plato, aidios is used as equivalent to aionios. Aristotle has not the abstract thoughts of Plato as to ideas, and the paradeigma of what is visible, the latter being a produced image of the eternal paradeigma. He rests more in what is known by the senses; and makes this the eternal thing in itself. But the force of aion for both is a settled point; and Aristotle's explanation of aion as used for finite things, I have long held to be the true one; that is, the completeness of a thing's existence, so that according to its natural existence there is nothing outside or beyond it. It periechei the whole being of the thing. 126 
