Lexical Definition

‎δαίμων‎ daímōn (dah'-ee-mown) demon ^G:N-M
from (to distribute fortunes)

devil.

• a dæmon or supernatural spirit (of a bad nature)

Abbott-Smith

δαίμων, -ονος, ὁ, ἡ [in LXX for גַּד, Is 65:11 (א; δαιμονίῳ, AB) * ;]
in cl. and NT = δαιμόνιον; a demon: Mt 8:31.†

Abbott-Smith References

Liddell-Scott-Jones

δαίμων, ονος,

vocative δαίμων [Refs 5th c.BC+], ὁ, ἡ, god, goddess, of individual gods or goddesses, [Refs 8th c.BC+]; ἐμίσγετο δαίμονι δαίμων, of Φιλίη and Νεῖκος, [Refs 5th c.BC+]:—but more frequently of the Divine power (while θεός denotes a God in person), the Deity,[Refs 8th c.BC+]; πρὸς δαίμονα against the Divine power, [Refs 8th c.BC+]; κατὰ δαίμονα, almost, ={τύχῃ}, by chance, [Refs 5th c.BC+]; ἄμαχος δ., i. e. Destiny, [Refs 5th c.BC+] what the Gods ordain, [Refs 5th c.BC+]

__2 the power controlling the destiny of individuals: hence, one's lot or forlune, δτυγερὸς δέ οἱ ἔχραε δ. [Refs 8th c.BC+]; δαίμονα δώσω I will deal thee fate, i.e. kill thee, [Refs]; frequently in Trag. of good or ill fortune, ὅταν ὁ δ. εὐροῇ [Refs 5th c.BC+]; personified as the good or evil genius of a family or person, δ. τῷπλεισθενιδῶν [Refs 5th c.BC+]
__II δαίμονες, οἱ, souls of men of the golden age, acting as tutelary deities, [Refs 8th c.BC+]; τὸν τὲ δ. Δαρεῖον ἀγκαλεῖσθε, of the deified Darius, [Refs 4th c.BC+]; νῦν δ᾽ ἐστὶ μάκαιρα δ., of Alcestis, [Refs 5th c.BC+]: later, of departed souls, [Refs 2nd c.AD+]; δαίμοσιν εὐσεβέσιν, = Dis Manibus, [Refs]; so θεοὶ δ., [Refs]ghost, [Refs 2nd c.AD+]
__II.2 generally, spiritual or semi-divine being inferior to the Gods, [Refs 1st c.AD+]; especially evil spirit, demon, [NT+1st c.AD+]; δαίμονος ἔσοδος εἰς τὸν ἄνθρωπον, [Refs 2nd c.AD+]
__II.3 ἀγαθὸς δ. the Good Genius to whom a toast was drunk after dinner, [Refs 5th c.BC+], etc.; of Nero, ἀ. δ. τῆς οἰκουμένης [Refs]; of the Nile, ἀ. δ. ποταμός[Refs 1st c.AD+]; of the tutelary genius of individuals (above 1), ἀ. δ. Ποσειδωνίου [Refs] = Latin Di Manes, [δαίμων, which see). ">Refs 4th c.AD+]
__B ={δαήμων}, knowing, δ. μάχης skilled in fight, [Refs 7th c.BC+], suggests this as the originally sense; while others would write δαήμονες in [Refs 7th c.BC+], and get rid of this sense altogether; compare however αἵμων. More probably the Root of δαίμων (deity) is δαίω to distribute destinies;;[Refs 7th c.BC+]

_{LSJ Scripture Refs: Matt.8.31}