After Rome had acquired the undisputed mastery of the world, the Greeks were wont to annoy their Roman masters by the assertion that Rome was indebted for her greatness to the fever of which Alexander of Macedonia died at Babylon on the 11th of June, 431.  As it was not too agreeable for them to reflect on the actual past, they were fond of allowing their thoughts to dwell on what might have happened, had the great king turned his arms—­as was said to have been his intention at the time of his death—­towards the west and contested the Carthaginian supremacy by sea with his fleet, and the Roman supremacy by land with his phalanxes.  It is not impossible that Alexander may have cherished such thoughts; nor is it necessary to resort for an explanation of their origin to the mere difficulty which an autocrat, who is fond of war and is well provided with soldiers and ships, experiences in setting limits to his warlike career.  It was an enterprise worthy of a Greek great king to protect the Siceliots against Carthage and the Tarentines against Rome, and to put an end to piracy on either sea; and the Italian embassies from the Bruttians, Lucanians, and Etruscans,(1) that along with numerous others made their appearance at Babylon, afforded him sufficient opportunities of becoming acquainted with the circumstances of the peninsula and of entering into relations with it.  Carthage with its many connections in the east could not but attract the attention of the mighty monarch, and it was probably one of his designs to convert the nominal sovereignty of the Persian king over the Tyrian colony into a real one:  it was not for nothing that a Phoenician spy was found in the retinue of Alexander.  Whether, however, these ideas were dreams or actual projects, the king died without having interfered in the affairs of the west, and his ideas were buried with him.  For but a few brief years a Greek ruler had held in his hand the whole intellectual vigour of the Hellenic race combined with the whole material resources of the east.  On his death the work to which his life had been devoted—­the establishment of Hellenism in the east—­was by no means undone; but his empire had barely been united when it was again dismembered, and, amidst the constant quarrels of the different states that were formed out of its ruins, the object of world-wide interest which they were destined to promote—­the diffusion of Greek culture in the east—­though not abandoned, was prosecuted on a feeble and stunted scale.  Under such circumstances, neither the Greek nor the Asiatico-Egyptian states could think of acquiring a footing in the west or of turning their efforts against the Romans or the Carthaginians.  The eastern and western state-systems subsisted side by side for a time without crossing, politically, each other’s path; and Rome in particular remained substantially aloof from the complications in the days of Alexander’s successors.  The only relations established were of a mercantile kind; as in the instance