Philo the Dialectician
Philo the Dialectician (fl. 300 BC) was a dialectic philosopher of the Megarian school. He is often called Philo of Megara although the city of his birth is unknown. He is most famous for the disputes he had with his teacher Diodorus Cronus concerning the idea of the possible and the criteria of the truth of conditional statements.
In regards to things possible, Philo was similar to Aristotle, as he recognized that not only what is, or will be, is possible (as Diodorus maintained), but also what is in itself conformable to the particular purpose of the object in question, as of straw to burn.
Both Philo and Diodorus sought for criteria for the correct form of conditional propositions, and each of them did so in a manner corresponding to what he maintained respecting the idea of the possible. Philo regarded a conditional as true unless it has both a true antecedent and a false consequent. Precisely, let T0 and T1 be true statements, and let F0 and F1 be false statements; then, according to Philo, each of the following conditionals is a true statement, because it is not the case that the consequent is false while the antecedent is true (it is not the case that a false statement is asserted to follow from a true statement):
- If T0, then T1
- If F0, then T0
- If F0, then F1
The following conditional does not meet this requirement, and is therefore a false statement according to Philo:
- If T0, then F0
Indeed, Sextus says "According to [Philo], there are three ways in which a conditional may be true, and one in which it may be false." Philo's criterion of truth is what would now be called a truth-functional definition of "if ... then"; it is the definition used in modern logic.
In contrast, Diodorus allowed the validity of conditionals only when the antecedent clause could never lead to an untrue conclusion. A century later, the Stoic philosopher Chrysippus attacked the assumptions of both Philo and Diodorus.
- Diogenes Laërtius, vii. 16: "He [Zeno] used to dispute very carefully with Philo the logician and study along with him. Hence Zeno, who was the junior, had as great an admiration for Philo as his master Diodorus."
- Clement of Alexandria, Stromata, iv.
- Jerome, Contra Jovinianum, 1
- Diogenes Laërtius, ix. 67, 69
- Alexander of Aphrodisias, Nat. Qual. i. 14.
- Sextus Empiricus, Adv. Math. viii, Section 113
- Sextus Empiricus, Hypotyp. ii. 110, comp.
- Cicero, Academica, ii. 47, de Fato, 6.
- Susanne Bobzien. "Dialectical School". Stanford Encyclopedia of Philosophy.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
- Selected Bibliography on the "Master Argument" in Diodorus Cronus and Philo the Dialectician with a bibliography on Diodorus and the problem of future contingents
This article incorporates text from a publication now in the public domain: Smith, William, ed. (1870). "Philon the Megarian or Dialectician". Dictionary of Greek and Roman Biography and Mythology. III. p. 312-313.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>