104 Predicates and Subjects
This item walks;
and an indeterminate assertible is one composed of an indeterminate particle (or
indeterminate particles) and a predicate, for example
Someone walks.
(Diogenes Laertius, vii 70)²⁴
In addition, the Stoics distinguished among various types of predicate:
Of predicates, some are upright, some supine, some neither. Upright are those which
are construed with one of the oblique cases to produce a predicate (e.g. hears, sees,
talks). Supine are those which are construed with a passive particle (e.g. am heard,
am seen). Neither are those which are neither way (e.g. to think, to walk).
(Diogenes Laertius, vii 64)²⁵
The fragments of Chrysippus’ Logical Investigations show that he had engaged
in reflection more detailed and more refined than anything which is to be
found in the Peripatetic texts on predication. For example:
If there are plural predicates, then there are plurals of plurals ad infinitum. But that
is certainly not so. So not the first.
(PHerc 307, ii 21–26)²⁶
Chrysippus did not deny the existence of plural predicates—rather, there
was a little argument which threatened their coherence and which he had to
refute.
It is plain that there is the closest connection between many of those logical
notions and certain corresponding grammatical notions. A supine predicate,
for example, is one which takes a passive particle to make a predicate. A
passive particle is a preposition of agency—‘by’, for example; and the Stoics
mean to say that S is a supine predicate if and only if S + ‘by’ + C(where
C is an oblique case) is a predicate. That is not, in principle, a grammatical
comment; for it concerns sayables, not expressions. But it is presented in
a grammatical terminology, and it is—or so I should say—unintelligible
²⁴ κατηγορικὸν δέ ἐστι τὸ συνεστὸς ἐκ πτώσεως ὀρθῆς καὶ κατηγορήματος, οἷον ∆ίων περι-
πατεῖ· καταγορευτικὸν δέ ἐστι τὸ συνεστὸς ἐκ πτώσεως ὀρθῆς δεικτικῆς καὶ κατηγορήματος,
οἷον οὗτος περιπατεῖ· ἀόριστον δέ ἐστι τὸ συνεστὸς ἐξ ἀορίστου μορίου ἢ ἀορίστων μορίων
καὶ κατηγορήματος, οἷον τὶς περιπατεῖ ...
²⁵ καὶ τὰ μέν ἐστι τῶν κατηγορημάτων ὀρθά, ἃ δ᾿ ὕπτια, ἃ δ᾿ οὐδέτερα. ὀρθὰ μὲν οὖν
ἐστι τὰ συντασσόμενα μιᾷ τῶν πλαγίων πτώσεων πρὸς κατηγορήματος γένεσιν, οἷον ἀκούει,
ὁρᾷ, διαλέγεται· ὕπτια δ᾿ ἐστὶ τὰ συντασσόμενα τῷ παθητικῷ μορίῳ, οἷον ἀκούομαι, ὁρῶμαι·
οὐδέτερα δ᾿ ἐστὶ τὰ μηδετέρως ἔχοντα, οἷον φρονεῖν, περιπατεῖν.
²⁶ εἰ πληθυντικά ἐστιν κατηγορήματα, καὶ πληθυντικῶν πληθυντικά ἐστι μέχρι εἰς ἄπειρον·
οὐ πάνυ δὲ τοῦτο· οὐδ᾿ ἄρα τὸ πρῶτον.