ABSTRACT: A comprehensive introduction to ancient (western) logic from earliest times to the 6th century CE, with an emphasis on topics which may be of interest to contemporary logicians. Content: 1. Pre-Aristotelian Logic 1.1 Syntax and Semantics 1.2 Argument Patterns and Valid Inference 2. Aristotle 2.1 Dialectics 2.2 Sub-sentential Classifications 2.3 Syntax and Semantics of Sentences 2.4 Non-modal Syllogistic 2.5 Modal Logic 3. The early Peripatetics: Theophrastus and Eudemus 3.1 Improvements and Modifications of Aristotle's Logic 3.2 Prosleptic Syllogisms 3.3 Forerunners (...) of Modus Ponens and Modus Tollens 3.4 Wholly Hypothetical Syllogisms 4. Diodorus Cronus and Philo the Logician 5. The Stoics 5.1 Logical Achievements Besides Propositional Logic 5.2 Syntax and Semantics of Complex Propositions 5.3 Arguments 5.4 Stoic Syllogistic 5.5 Logical Paradoxes 6. Epicurus and the Epicureans 7. Later Antiquity. (shrink)

The digression of Plato’s Theaetetus (172c2–177c2) is as celebrated as it is controversial. A particularly knotty question has been what status we should ascribe to the ideal of philosophy it presents, an ideal centered on the conception that true virtue consists in assimilating oneself as much as possible to god. For the ideal may seem difficult to reconcile with a Socratic conception of philosophy, and several scholars have accordingly suggested that it should be read as ironic and directed only at (...) the dramatic character Theodorus. When interpreted with due attention to its dramatic context, however, the digression reveals that the ideal of godlikeness, while being directed at Theodorus, is essentially Socratic. The function of the passage is to introduce a contemplative aspect of the life of philosophy into the dialogue that contrasts radically with the political-practical orientation characteristic of Protagoras, an aspect Socrates is able to isolate as such precisely because he is conversing with the mathematician Theodorus. (shrink)

Hartshorne and Reese thought that in the Timaeus Plato wasn’t quite a panentheist—though he would have been if he’d been consistent. More recently, Cooper has argued that while Plato’s World Soul may have inspired panentheists, Plato’s text does not itself describe a form of panenetheism. In this paper, I will reconsider this question not only by examining closely the Timaeus but by thinking about which features of current characterizations of panentheism are historically accidental and how the core of the doctrine (...) might most fruitfully be understood. I’ll argue that there is a polytheistic view that deserves to be called panentheistic and that Plato’s Timaeus describes such a view. (shrink)

Walter Sinnott-Armstrong argues that moral disagreement and widespread moral bias pose a serious problem for moral intuitionism. Seneca’s view that we just recognise the good could be criticised using a similar argument. His approach to argumentation offers a way out, one that may serve as a model for a revisionary intuitionism.

Simplicius reports that Xenocrates and Andronicus reproached Aristotle for positing an excessive number of categories, which can conveniently be reduced to two: τὰ καθ᾽αὑτά and τὰ πρός τι. Simplicius, followed by several modern commentators, interprets this move as being equivalent to a division into substance and accidents. I aim to show that, as far as Xenocrates is concerned, this interpretation is untenable and that the substance-accidents contrast cannot be equivalent to Xenocrates’ per se-relative one. Rather, Xenocrates aimed to stress the (...) primacy of Plato’s binary distinction of beings, as presented at Sophist 255c13–4, over Aristotle’s list of the categories. (shrink)

In paragraphs 5 and 86 of the De sensibus Theophrastus gives a brief report of Plato’s views on the sense of vision and its object, i. e. colour, based on the Timaeus. Interestingly enough, he presents the Platonic doctrine as a third alternative to the extramission and intromission theories put forward by other ancient philosophers. In this article I examine whether or not Theophrastus’ account is impartial. I argue that at least some of his distortive departures from the Platonic dialogue (...) are due to his Aristotelian inheritance, even though they do not always represent Aristotle’s expressed views. (shrink)