masc. proper name, from Latin, from Greek Alexandros "defending men," from alexein "to ward off, keep off, turn (something) away, defend, protect" + anēr (genitive andros) "man" (from PIE root *ner- (2) "man"). The first element perhaps is related to Greek alke "protection, help, strength, power, courage," alkimos "strong;" and cognate with Sanskrit raksati "protects," Old English ealgian "to defend."

As a kind of cocktail recipe featuring crème de cacao and cream, Alexander is attested from 1913; the reason for the name is unclear.

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Definitions of Alexander from WordNet

Alexander (n.)
European herb somewhat resembling celery widely naturalized in Britain coastal regions and often cultivated as a potherb;
Synonyms: Alexanders / black lovage / horse parsley / Smyrnium olusatrum
Alexander (n.)
king of Macedon; conqueror of Greece and Egypt and Persia; founder of Alexandria (356-323 BC);
Synonyms: Alexander the Great