Lexical Definition

‎μάχη‎ máchē (makh'-ay) quarrel ^G:N-F
from ‎μάχομαι‎

fighting, strive, striving.

• a battle, i.e. (figuratively) controversy

Abbott-Smith

μάχη, -ης, ἡ (< μάχομαι), [in LXX chiefly for רִיב;]
1. a fight.
2. a strife, contention, quarrel: II Co 7:5, II Ti 2:23, Ja 4:1; pl., Tit 3:9.†

Abbott-Smith References

Liddell-Scott-Jones

μάχη-η, ἡ,

(μάχομαι) battle, combat, frequently in [Refs 8th c.BC+]; sometimes of single combat, [Refs]; μ. καὶ δηϊοτής[Refs 5th c.BC+] fight a battle, [Refs 8th c.BC+]; ἀντιάζειν τινὶ μάχαν[Refs 5th c.BC+]; μ. συμβάλλειν τινί engage battle with.., [Refs 5th c.BC+]; διὰ μάχης τινὶ ἀπικέσθαι, ἔρχεσθαι, ἥκειν, [Refs 5th c.BC+]; εἰς μάχην πρός τινα ἐλθεῖν, μολεῖν, [Refs 5th c.BC+]; μάχῃ κρατῆσαι conquer in battle, [Refs 5th c.BC+]; μάχη τινός battle with an enemy, Αἴαντος δ᾽ ἀλέεινε μ. [Refs 8th c.BC+]: plural, strifes, ἔρις τε.. πόλεμοί τε μάχαι τε [Refs 8th c.BC+]: generally, contention, strife, [Refs 2nd c.AD+]; μ. νομικαί [NT]

__2 ={ἀγών}, contest, as for a prize in the games, [Refs 5th c.BC+]
__3 struggle, μηχανή τε πολλὴ καὶ μ. ἦν περί τινος [Refs 5th c.BC+]
__II mode of fighting, way of battle, ἡ μ. σφέων ἦν ἀπ᾽ ἵππων [Refs 5th c.BC+]
__III field of battle, interpolated in [Refs]
__IV in Logic, contradiction, inconsistency, [Refs 1st c.AD+]

_{LSJ Scripture Refs: Titus.3.9}