I sometimes fall back on the idea that that which is outlined in our minds - the image of divinity writ as widely as possible - is nothing more than an innate capacity for awe, to be in awe of something larger than ourselves or something literally awe-inspiring, something encompassing our solitary mortal existence. Looking up into the stars, we feel awe at contemplating our insignificance in the face of the universe (Hey, hey! No getting depressed! That's not the point!). Taking in an expansive natural vista like Yosemite Valley from Tunnel View (photos are wholly inadequate!). We're taken out of ourselves in that moment, and I can surmise that an ancient Greek, confronted by the gigantic statue of Athena within the dimly-lit Parthenon, could experience that awe. Trying to come to terms with that feeling of awe could lead to this idea that it's tied up with divinity.
But it's just an idea.