The world (th oikoumenh). The inhabited world. In Matthew 4:8 it is tou kosmou. In a moment of time (en stigmh cronou). Only in Luke and the word stigmh nowhere else in the N.T. (from stizw, to prick, or puncture), a point or dot. In Demosthenes, Aristotle, Plutarch. Like our "second" of time or tick of the clock. This panorama of all the kingdoms of the world and the glory of them in a moment of time was mental, a great feat of the imagination (a mental satanic "movie" performance), but this fact in no way discredits the idea of the actual visible appearance of Satan also. This second temptation in Luke is the third in Matthew's order. Luke's order is geographical (wilderness, mountain, Jerusalem). Matthew's is climacteric (hunger, nervous dread, ambition). There is a climax in Luke's order also (sense, man, God). There is no way to tell the actual order.