Used this way, ὅθεν is not a vague "therefore." It points back to a particular statement just made and draws the conclusion that necessarily follows from it. The idea of a physical source ("from which place") slides into the idea of a starting point for thought ("from which fact, from which premise"). The oldest Greek already used the word this way, but it became common in the more polished, literary Greek of writers like Philo, the books of Maccabees, formal petitions to officials, and most strikingly the letter to the Hebrews.
Six of the word's fifteen New Testament appearances are in Hebrews, every one of them drawing a conclusion, and often paired with words of obligation or necessity (he was obligated in 2:17; it is necessary in 8:3; he is able in 7:25). It is not just a plain "therefore" but a refined way of marking a consequence drawn from something already established. At Hebrews 3:1 the word marks a major turning point in the letter, swinging from teaching about Christ into sustained pastoral encouragement. The writer of Hebrews leans on ὅθεν heavily (Paul never uses it at all), one of the reasons scholars think Hebrews was written by someone at home in elevated, literary Greek rather than by Paul.
The three conclusion-drawing uses outside Hebrews appear in Matthew's narrative (14:7, Herod's oath and what it led to) and in Paul's formal courtroom speech before Agrippa (Acts 26:19), which one scholar said "gathers up all that Paul has said," again a polished setting that calls for ὅθεν. 1 John 2:18 is the one verse where the "from which premise" sense shades into "from which evidence" (the departure of the antichrists is the ground for knowing it is the last hour), and readers have long kept both shades in view rather than flattening it into a bare conclusion.
Nuances
2atherefore, for which reason (drawing a conclusion from something already said)
Mat 14:7Act 26:19Heb 2:17Heb 3:1Heb 7:25Heb 8:3Heb 9:18Heb 11:19*
2bfrom which evidence, by which we know (drawing a conclusion from what can be seen)
1Jn 2:18*