Marcus O'Reillius said:
Despite the word: age? You listed them as:
This could be the Church Age, which you do list and I use in other cases, and then there is the Rule of Man Age too, which might be the Disciples' question.
All aiōn says is: period of time, age in this context. Jesus does not specify which age is the relevant age. That must be understood by the reader in this case because Matthew did not specify it either.
Well, the actual translation in Matt 24:3 is "completion of the age". Considering that Jesus hadn't died yet I would think it's #3, The Age of Israel under the Old Mosaic Covenant of the Law, thus the completion of the Mosaic age.
Messiah’s purpose in this discourse was not at all to give His people signs of His coming again, but to warn that generation of believers of the approaching destruction of Jerusalem, and to give to them a sure sign whereby they might, and whereby in fact His own people did, secure their safety by fleeing the land and city.
“thy coming” refers to “these things”, the destruction of the temple; not Messiah. They were asking what is the sign of the things that he just proclaimed about the temple being desolated.
The NIV/ESV/NKJ incorrectly say “what will be the sign of your coming”, making it seem like Messiah’s 2nd coming.
The Greek word for coming is parousia; from the present participle of 3918; a being near, i.e. advent (often, return; specially, of Christ to punish Jerusalem, or finally the wicked); (by implication) physically, aspect:—coming, presence.
Messiah was surely present during the desolation of the temple, city and Jews; not in the sense of His return to earth, but that He commanded it and oversaw it.