The search for definitions is ubiquitous in Sanskrit philosophy. In many texts across traditions, we find philosophers presenting their theories by laying down definitions of key theoretical categories, by testing those definitions, and by refuting competing definitions of the same theoretical categories. Call this the method of definitions. The aim of this essay is to explore a challenge that arises for this method: the paradox of definitions. It arises from the claim that the method of definitions is either (i) redundant (...) because it does not provide us any knowledge that we did not already possess, or (ii) impossible to successfully pursue because it leads to an infinite regress. Neither of these alternatives should be acceptable to the defender of this method. To focus our discussion, I will show how this challenge arose for—and was arguably resolved by—early Nyāya-Vaiśeṣika thinkers active in the first millennium CE and at the very beginning of the second millennium. In response to the paradox of definitions, these Nyāya-Vaiśeṣika thinkers claimed that the purpose of a definition is to remove either metaphysical ignorance about the distinction between theoretically significant kinds or kind-membership, or metalinguistic ignorance about the meaning or the application-conditions of theoretically significant terms. I will show how this discussion helps us to ward off certain misconceptions about the method of definitions in Nyāya-Vaiśeṣika. (shrink)

In this paper I focus on the relationships between language, definition and being in Antisthenes. I start from Plato’s Sophist 251b–c, in which the reference to the ὀψιμαθεῖς stands out, and I conclude that it is not possible to identify these characters with Antisthenes. The conception of ὀψιμαθεῖς provides for the exclusive legitimacy of identical judgments, exploiting in an eristic sense an evident Eleatic legacy. But this position, rather than concordances, reveals serious opposition to what is surely known to us (...) of the logical and linguistic doctrines of Antisthenes. The most explicit testimony about the relationship between language and being in Antisthenes is handed down by Porphyry, who attributes to Antisthenes the equation λέγειν = λέγειν τι = λέγειν τὸ ὄν. My analysis intends to show that this equation is assumed by Antisthenes through a Socratic mediation and has a double objective: to ensure an objective reference of language, as opposed to Gorgias’ self-referential conception of language, and to nullify the antilogy, which is typical of sophistic argumentation. To it Antisthenes contrasts the ἐπίσκεψις τῶν ὀνομάτων, which is a development of Socratic ἐξετάζειν, and whose aim is to reach, at the end of the examination, no longer just a ὁμολογία, but a definition valid once and for all. Antisthenes is aware that there is a distinction between essence and quality, and with this, he moves a first important step beyond the univocal conception of being proper to Parmenides. The doxography will sum up Antisthenes’ position by describing him as the first philosopher to advance a definition of logos, i. e., definition. He bases his theory of definition on the identification of that attribute which is ἴδιον καὶ οἰκεῖον of the proposed object. Antisthenes coined the phrase τὸ τί ἦν to designate what the predicate is meant to say in a definition, i. e., the proper quality. This expression does not seem to identify the general notion of a predicate as such, but rather to indicate the determination or qualification necessary to actually define the object in question. In the final part of my article, I examine some testimonies that show how, with his theory of definition, Antisthenes is, and was considered already in antiquity, the precursor of the Stoic theory of definition, whose objective is, according to Chrysippus’ formula, to provide the explanation of what is proper (ἰδίου ἀπόδοσις). (shrink)