Logic

35 - The Philosopher's Toolkit: Aristotle's Logical Works

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Peter discusses Aristotle’s pioneering work in logic, and looks at related issues like the ten categories and the famous “sea battle” argument for determinism.

60 - Walking on Eggshells: the Stoics on Logic

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Peter arrives at the most influential of the Hellenistic schools, the Stoics, focusing on the early school from Zeno to Chrysippus, and on Stoic innovations in logic.

82 - Lost and Found: Aristotelianism after Aristotle

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Peter looks at the history of Aristotelianism up the time of the Roman Empire and the beginning of commentaries on Aristotle's works.

92 - King of Animals: Porphyry

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Porphyry fuses Platonism with Aristotelianism, exploring Aristotle’s logic and Plotinus’ philosophy. He also finds time to argue for vegetarianism.

118 - Fate, Hope and Clarity: Boethius

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Boethius ushers in the medieval age with expert works on Aristotle, subtle treatises on theology, and the Consolation of Philosophy, written while he awaited execution.

128 - Aristotelian Society: the Baghdad School

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A group of mostly Christian philosophers transpose the practices of antique Aristotelian philosophy to 10th century Baghdad.

129 - The Second Master: al-Fārābī

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Peter begins to look at the systematic rethinking of Hellenic philosophy offered by al-Fārābī, focusing on his logic and metaphysics.

174 - Leading Light: Suhrawardī

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Suhrawardī, founder of the Illuminationist (ishrāqī) tradition, proposes a metaphysics of light on the basis of his theory of knowledge by presence.

180 - Proof Positive: The Logical Tradition

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Logicians ply their trade across a millennium of Islamic history, considering such issues as the status of logic itself and the Liar Paradox.

181 - By the Book: Ibn Taymiyya

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The controversial jurist Ibn Taymiyya sets forth an originalist theory of law and a searching criticism of the philosophers’ logic.

183 - Family Feud: Philosophy at Shiraz

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Ill-tempered debates in early modern Iran, as we examine the rivalry between Dawānī and the Dashtakīs at Shīrāz.

202. Philosophers Anonymous: the Roots of Scholasticism

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Little-known authors prepare the way for scholasticism with glosses on logic, metaphysical debate, and a poem about a cat.

208. Get Thee to a Nunnery: Heloise and Abelard

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Peter Abelard and Heloise prove themselves to be fascinating thinkers as well as star-crossed lovers.

225. No Uncertain Terms: Thirteenth Century Logic

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The terminist logicians William of Sherwood and Peter of Spain classify the various ways that language can relate to the world.

Thanks to Catarina Dutilh Novaes for help with this episode.

238. Binding Arbitration: Robert Kilwardby

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Robert Kilwardby is infamous for his ban on teaching certain philosophical ideas at Oxford, yet made contributions in logic and on the soul.

239. Catarina Dutilh Novaes on Medieval Logic

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Was medieval logic "formal"? Peter finds out from Catarina Dutilh Novaes.

31. Where There’s Smoke There’s Fire: Gautama’s Nyāya-Sūtra

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The Nyāya-Sūtra inaugurates a tradition of logical and epistemological analysis.

33. Standard Deductions: Nyāya on Reasoning

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Gautama and his commentators tell us how to separate good inferences from bad ones.

35. Ujjwala Jha and V.N. Jha on Nyāya

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The First Family of Indian Epistemology joins us to discuss the theories and later influence of the Nyāya school.

277. Trivial Pursuits: Fourteenth Century Logic

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The scholastics discuss the ambiguity of terms, the nature of logical inference, and logical paradoxes, and play the game of “obligations.”

278. Sara Uckelman on Obligations

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Sara Uckelman soundly defeats Peter in the medieval logical game of "obligations."

279. Quadrivial Pursuits: the Oxford Calculators

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Bradwardine and other thinkers based at Oxford make breakthroughs in physics by applying mathematics to motion.

46. No Four Ways About It: Nāgārjuna’s Tetralemma

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Nāgārjuna’s four-fold argument scheme, the tetralemma (catuṣkoṭi).

47. Jan Westerhoff on Nāgārjuna

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A discussion with Jan Westerhoff, an expert on the great Buddhist thinker Nāgārjuna, dealing with the notion of emptiness, the tetralemma, and Nāgārjuna's reception in India and Tibet.

283. Jack Zupko on John Buridan

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Peter speaks to Jack Zupko about John Buridan's secular and parsimonious approach to philosophy.

49. Well Qualified: the Jains on Truth

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Does the Jain theory of seven predications (saptabhaṇgī) land them in self-contradiction, or help them to avoid it?

53. Follow the Evidence: Dignāga's Logic

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Dignāga’s trairūpya theory, which sets out the three conditions required for making reliable inferences.

54. Graham Priest on Logic and Buddhism

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Graham Priest joins Peter to discuss non-classical logic and its connections with Buddhist patterns of reasoning.

300b. The Relevance of Medieval Philosophy Today

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Peter King, Catarina Dutilh Novaes, and Russ Friedman discuss their approaches to medieval philosophy and its contemporary relevance.

302. On the Eastern Front: Philosophy in Syriac and Armenian

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Eastern Christian philosophy outside of Constantinople, focusing on translation and exegesis in the languages of Syriac and Armenian.

314. Katerina Ierodiakonou on Byzantine Commentaries

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Katerina Ierodiakonou discusses Byzantine commentators on Aristotle, including Michael of Ephesus.

320. People of the South: Byzantium and Islam

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Intellectual exchange between Christians and Muslims, and the later flowering of Syriac literature including the philosopher Bar Hebraeus.

331. Literary Criticism: Lorenzo Valla

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Lorenzo Valla launches a furious attack on scholastic philosophy, favoring the resources of classical Latin.

355. Town and Gown: Italian Universities

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The blurry line dividing humanism and scholastic university culture in the Italian Renaissance.

359. There and Back Again: Zabarella on Scientific Method

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Jacopo Zabarella outlines the correct method for pursuing, and then presenting, scientific discoveries.

373. Lords of Language: Northern Humanism

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Rudolph Agricola, Juan Luis Vives and other humanist scholars spread the study of classical antiquity across Europe and mock the technicalities of scholastic philosophy.

385. I Too Can Ask Questions: Protestant Scholasticism

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In a surprise twist, some Protestant thinkers embrace the methods of scholasticism, and even find something to admire in the work of Catholic authors like Aquinas.

401. Word Perfect: Logic and Language in Renaissance France

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Jacques Lefèvre d’Étaples and Julius Caesar Scaliger fuse Aristotelianism with humanism to address problems in logic and literary aesthetics.

403. Make It Simple: Peter Ramus

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Peter Ramus scandalizes his critics, and thrills his students and admirers, by proposing a new and simpler approach to philosophy.

405. Divide and Conquer: the Spread of Ramism

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The methods of Peter Ramus sweep across Europe, winning adherents and facing stiff opposition in equal measure.

430. I’ll Teach You Differences: British Scholasticism

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The evolution of Aristotelian philosophy from John Mair in the late 15th century to John Case in the late 16th century.

431. Calvin Normore on Scholasticism

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A discussion of the history and philosophical significance of scholasticism from medieval times to early modernity, and even today.