alone or the only one: present or existing without others, or uniquely singled out to the exclusion of all else
In its predicative and attributive uses, μόνος describes a person, thing, or group as either physically unaccompanied or as being the sole representative of its kind. These two shades, isolation and exclusivity, are facets of one idea: the absence of any other beside the subject.
The isolation sense pictures someone left without company: Jesus withdrawing to pray alone, the disciples left behind, a grain of wheat lying alone in the ground. The exclusivity sense makes a bolder claim: not merely that no one else is present, but that no one else could take the same place. This is the theological weight of "the only true God" (John 17:3) and the doxologies that address God as "the only God" (1 Timothy 1:17; Jude 1:25). There, μόνος is not about solitude but about incomparability, God alone holds immortality, God alone is holy.
The two shades shade into each other at the margins, and the NT authors seem to feel that tension: "I am not alone," Jesus says (John 8:16), meaning both that he is not isolated (the Father is with him) and that he is not acting as a lone, uncorroborated witness: both senses reinforce the claim.