Question: Diodorus of Alexandria was a pupil of the philosopher in what tradition?

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Ergamenes: Ergamenes is the hellenized name of a Nubian king of Meroë reported by Agatharchides in Diodorus Siculus (3.2.6, FHN II No. 142).  According to this account, Ergamenes reigned in Meroë during the friendly Egyptian reign of Ptolemy II Philadelphus to Ptolemy IV Philopator, was instructed in Greek philosophy, favored Greek art and its way of life, although it could be rather intended as a cultural influence from a Ptolemaic-governed Egypt.  He resented the tradition of ancient Egypt and the Ethiopian priests' control over the King's power and preferred the absolute power of his neighbor, Ptolemy II:

Harpina: In Greek mythology, Harpina (Greek Άρπινα) was a Naiad nymph and daughter of Phliasian Asopus and of Metope.  Pausanias (5.22.6) and Diodorus Siculus (4.73.1) mention Harpina and state that, according to the tradition of the Eleans and Phliasians, Ares mated with her in the city of Pisa (located in the ancient Greek region of Elis) and she bore him Oenomaus, the king of Pisa.  Oenomaus (6.21.8) founded and named after his mother the city of Harpina, not far from the river Harpinates, near Olympia.  Pausanias (5.22.6) mentions Harpina in his description of a group sculpture, donated by the Phliasians, of the daughters of Asopus, which included Nemea, Zeus seizing Aegina, Harpina, Corcyra, Thebe and Asopus.  The sculpture was located in the sanctuary of Hippodamia at Olympia.

Diodorus of Aspendus: Diodorus of Aspendus, was a Pythagorean philosopher, who lived in the 4th century BC, and was an acquaintance of Stratonicus the musician.  Diodorus is said to have adopted a Cynic way of life, "letting his beard grow, and carrying a stick and a wallet."

Himalia (mythology): In Greek mythology Himalia is a nymph of the eastern end of the island of Rhodes.  According to Diodorus Siculus Zeus was enamoured with her and she produced three sons with him, Spartaios, Kronios, and Kytos: of them nothing further survives in writing.  Jennifer Larson observes that the dictionary compiler Hesychius of Alexandria gives ίμαλιά.  denoting an abundance of wheat meal, and notes the agricultural connotations of the sons' names: """Spartaios" recalls sowing, and "Kytos" means a basket or jar."  Kronios" denotes a descendent of Kronos, the god of the Golden Age", a mythic time of ease and abundance.

Charmadas: Charmadas (Greek: Χαρμάδας ; or Charmides (Χαρμίδης); 168/7 – 103/91 BC ) was an Academic philosopher and a disciple of Carneades at the Academy in Athens.  He was a pupil of Carneades for seven years (145-138) and later he led his own school in the Ptolemaion, a gymnasium in Athens.  He seems to have spent some time in Alexandria, before he went to Athens around 145 B.C.  He was an excellent rhetorician and famous for his outstanding memory.  Like Philo of Larissa he seems to have pursued a more moderate scepticism.  Lucius Licinius Crassus and Marcus Antonius (orator) were his most prominent pupils.  Furthermore, Philodemus preserverd us the names of other pupils: Diodorus of Adramyttion, Apollodor of Tarsus, Heliodorus of Mallos, Phanostratus of Tralles and a certain Apollonius.

Pallantides: In Greek mythology, the Pallantidai (Ancient Greek: Παλλαντίδαι ) were the fifty sons of Pallas, nobles of Attica, and rivals of their uncle Aegeus and his son Theseus over the Athenian throne.  Diodorus Siculus related that they once became friends with Androgeos, a son of Minos, and that was why Aegeus had Androgeos assassinated, fearing that Pallas and his sons could use this friendship to get assistance from the powerful Minos against him.  The Pallantidae and their father marched against Theseus and Aegeus because they hoped to gain control over Athens.  According to Plutarch, one half of them under command of Pallas openly marched from Sphettus, while the other half laid an ambush near Gargettus.  Their plan failed though, because Leos, their herald, warned Theseus of their schemes and an ambush they had prepared for him.  Theseus pre-emptively ambushed the Pallantides and killed all those at Gargettus, whereupon the other half retreated.  Other sources state that Theseus killed all the fifty Pallantidae as well as Pallas.  A tradition saying that he spared their sister, Aricia, whom he kept as slave, is followed in Jean Racine's "Phèdre" but is not supported by extant genuinely ancient sources.

Diodorus of Alexandria: Diodorus of Alexandria or Diodorus Alexandrinus was a gnomonicist, astronomer and a pupil of Posidonius.

Diodorus of Adramyttium: Diodorus (Greek: Διόδωρος ) of Adramyttium, a rhetorician and Academic philosopher.  He is known only from the account given by Strabo.  He lived at the time of Mithridates (1st century BC), under whom he commanded an army.  In order to please the king, he caused all the senators of his native place to be massacred.  He afterwards accompanied Mithridates to Pontus, and, after the fall of the king, Diodorus received the punishment for his cruelty.  Charges were brought against him at Adramyttium, and as he felt that he could not clear himself, he starved himself to death in despair.

Leucippus: Leucippus ( ; Greek: Λεύκιππος , "Leúkippos"; fl.  5th cent.  BCE) is reported in some ancient sources to have been a philosopher who was the earliest Greek to develop the theory of atomism—the idea that everything is composed entirely of various imperishable, indivisible elements called atoms. Leucippus often appears as the master to his pupil Democritus, a philosopher also touted as the originator of the atomic theory.  However, a brief notice in Diogenes Laertius’s life of Epicurus says that on the testimony of Epicurus, Leucippus never existed.  As the philosophical heir of Democritus, Epicurus's word has some weight, and indeed a controversy over this matter raged in German scholarship for many years at the close of the 19th century.  Furthermore, in his "Corpus Democriteum", Thrasyllus of Alexandria, an astrologer and writer living under the emperor Tiberius (14–37 CE), compiled a list of writings on atomism that he attributed to Democritus to the exclusion of Leucippus.  The present consensus among the world's historians of philosophy is that this Leucippus is historical.  The matter must remain moot unless more information is forthcoming from the record.

Posidonius: Posidonius (Greek: Ποσειδώνιος, "Poseidonios", meaning "of Poseidon") "of Apameia" (ὁ Ἀπαμεύς) or "of Rhodes" (ὁ Ῥόδιος) (c. 135 BCE – c. 51 BCE), was a Greek Stoic philosopher, politician, astronomer, geographer, historian and teacher native to Apamea, Syria.

Supporting paragraphs: Diodorus of Alexandria Posidonius
Answer: Stoic