Lexical Definition

‎ἐνδέχεται‎ endéchetai (en-dekh'-et-ahee) be possible ^G:V
third person singular present of a compound of ‎ἐν‎ and ‎δέχομαι‎

can (+ not) be.

• (impersonally) it is accepted in, i.e. admitted (possible)

Abbott-Smith

έν-δέχομαι [in LXX: Ps 119:122 (עָרַב), II Mac 11:18 * ;]
1. to admit, approve.
2. to be possible; impers., ἑνδέχεται, it is possible: c. acc et inf., Lk 13:33 (Cremer, 687).†

Abbott-Smith References

Liddell-Scott-Jones

ἐνδέχομαι,

Ionic dialect ἐν-δέκομαι, future -ξομαι, take upon oneself, ταλαιπωρίας [Refs 5th c.BC+]

__II accept, admit, approve, τὸν λόγον [Refs 5th c.BC+]; so ἐ. [τὴν τοῦ Ἀλκιβιάδου κάθοδον] [Refs 5th c.BC+]
__II.2 in [Refs 5th c.BC+] frequently give ear to, believe, mostly with a negative, ἀρχὴν.. οὐδὲ ἐ. τὸν λόγον [Refs]: with infinitive, believe that.., οὐ γὰρ ἔγωγε ἐ. Ἠριδανόν τινα καλέεσθαι ποταμόν [Refs]
__II.3 absolutely, give ear, attend, σὺ δ᾽ ἐνδέχου [Refs 5th c.BC+]; περί τινος οὐδ᾽ ὁπωσοῦν ἐ. refuse to hear a word about it, [Refs 5th c.BC+]
__III of things, admit, allow of, τὸ προμηθὲς λογισμὸν οὐκ ἐνδέχεται περί τινος [Refs]; μεταβολήν, ἀλλοίωσιν ἐ., [Refs 5th c.BC+]; καθ᾽ ὅσον φύσις ἐνδέχεται, quantum recipit humana condicio, [Refs]infinitive, τὸ ναυτικὸν.. οὐκ ἐνδέχεται ἐκ παρέργου μελετᾶσθαι does not admit of being practised, [Refs 5th c.BC+]
__III.2 absolutely, to be possible, ἃ πολλὰ ἐνδέχεται [Refs 5th c.BC+]; ἐὰν ἐνδεχόμενον ᾖ if it be possible, [Refs 3rd c.BC+]; frequently in [Refs 4th c.BC+]: especially in participle ἐνδεχόμενος, η, ον, possible, ἐκ τῶν ἐνδεχομένων by all possible means, [Refs 5th c.BC+]; εἰς τὸ ἐ. so far as possible, [Refs 4th c.BC+]infinitive, τὰ ἐ. καὶ εἶναι καὶ μὴ εἶναι contingent events, [Refs]
__III.3 ἐνδέχεται impersonal, it admits of being, it is possible that.., with accusative et infinitive, [Refs 5th c.BC+]; εἴπερ ἐνεδεχετο (i.e. γράφειν) [Refs 5th c.BC+]; εἰς ὅσον ἐ. [Refs]; ὅσα ἐ. [Refs 4th c.BC+]; μέχρι οὗ ἐ[Refs 4th c.BC+] where possible, [Refs]
__III.3.b with dative person, it is allowed, [Refs 5th c.BC+]