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Aristotle on Mathematical Infinity
Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas.
Plato’s forms, mathematics and astronomy
Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what...
In the Second Degree
To better understand the phenomenon of Literature in the Second Degree – in Jewish and Biblical studies often characterized as parabiblical or Rewritten Bible – the current volume applies the theories of Gerard Genette to ancient and medieval literature from various cultures. Literature in the Second Degree realigns earlier (authoritative) texts to the dynamics of developing cultures and their changing cultural memories. In the case of authoritative base texts, Literature in the Second Degree reaffirms their authority by way of interpretative actualization. In the case of non-authoritative base texts it replaces them to effect cultural forgetting. Far from being just literary forgery (pseudepigraphy), Literature in the Second Degree has an important function in the development of the ancient and medieval cultures.
Between Text and Text
The intertextuality research of antique texts and their reception in Medieval and modern times is the subject of this volume: (1) What is a text and what is an intertext? This concerns the various different forms of text and how they present themselves in architecture, iconography, lexicography, the study of lists, etc. (2) Forms of intertextuality – on the relationship between writtenness and oralness, how oral texts are objectified during textualisation and become fixed acts of speech (K. Ehlich), how especially antique texts were shaped by the continual interconnectedness of oral and written traditions. (3) What is understood in ancient Oriental and antique literature by "tradition" and...
Classica Et Mediaevalia vol.54
Classica et Mediaevalia is an international periodical, published annually, with articles written by Danish and international scholars. The articles are mainly written in English, but also in French and German. The periodical deals from a philological point of view on classical antiquity in general and topics such as history of law and philosophy and the medieval ecclesiastic history. Classica et Mediaevalia covers the period from the Greco-Roman Antiquity until the Late Middle Ages. Volume 56 contents include: The Habit of Subsidization in Classical Athens: Toward a Thetic IdeologyA Note on Aristophanes, Clouds 76A Polis as a Part of a Larger Identity Group: Glimpses from the History of LepreonA Monger of Red Herrings: Plato's Method of Dead Ends in Politicus 257a-275cEpicurean GodsThe Contribution of Ars and Remedia to the Development of Autobiographical FictionHow Shall We Comprehend the Roman I-Poet? A Reassessment of the Roman Persona-TheoryJuvenal 3.146: A New Interpretati
Clement and Scriptural Exegesis
How might one describe early Christian exegesis? This question has given rise to a significant reassessment of patristic exegetical practice in recent decades, and H. Clifton Ward makes a new contribution to this reappraisal of patristic exegesis against the background of ancient Greco-Roman education. In tracing the practices of literary analysis and rhetorical memory in the ancient sources, Clement and Scriptural Exegesis argues that there were two modes of archival thinking at the heart of the ancient exegetical enterprise: the grammatical archive, a repository of the textual practices learned from the grammarian, and the memorial archive, the constellations of textual memories from which...
Das Maß des Menschen
Protagoras beansprucht, die Jugend erziehen zu können. Warum nicht? Wenn «Mensch Maß aller Dinge» ist, kann jeder jeden ‘besser’ machen... Für Plato geht das nicht auf. Was fehlt? Was ist das Maß des Menschen, wenn der Mensch Maß sein soll? Protagoras claims to be able to educate the young. Why not? If «Man is Measure of Everything», anybody can make everybody ‘better’... To Plato, this doesn't add up. What's lacking? What is the measure of Man, if Man be measure?
Pesher and Hypomnema: A Comparison of Two Commentary Traditions from the Hellenistic-Roman Period
In Pesher and Hypomnema Pieter B. Hartog compares ancient Jewish commentaries on the Hebrew Bible with papyrus commentaries on the Iliad. Hartog shows that members of the Qumran movement adopted classical commentary writing and adapted it to their own needs.
Heidegger and Classical Thought
Despite a sustained and fruitful relationship with the classical philologists of his day, Martin Heidegger's status among classicists has long since been strained, especially in the Anglophone tradition. Heidegger and Classical Thought reemphasizes both Heidegger's importance to classical discourse and the significance of classical discourse for Heidegger's own work. The essays found in this book demonstrate the depth and breadth of Heidegger's engagement with classical thought throughout his life, from his early engagements with Aristotle and Plato to his profound readings of the early Greek thinkers. At the same time, this book shows how reading Heidegger's interpretation of classical thought offers new and innovative ways to approach and study antiquity.
The First Urban Churches 7
The First Urban Churches 7 includes essays focused on the development of early Christianity from the mid-first century through the sixth century CE in the ancient Macedonian city of Thessalonica. An international group of contributors traces the emergence of Thessalonica’s house churches through a close study of the archaeological remains, inscriptions, coins, iconography, and Paul’s two letters to the Thessalonians. After a detailed introduction to the city, including the first comprehensive epigraphic profile of Thessalonica from the Hellenistic age to the Roman Empire, topics discussed include the Roman emperor’s divine honors, coins and inscriptions as sources of imperial propaganda, Thessalonian family bonds, Paul’s apostolic self-image, the role of music at Thessalonica and in early Christianity, and Paul’s response to the Thessalonian Jewish community. Contributors include D. Clint Burnett, Alan H. Cadwallader, Rosemary Canavan, James R. Harrison, Julien M. Ogereau, Isaac T. Soon, Angela Standhartinger, Michael P. Theophilos, and Joel R. White.
