Infinity In The Presocratics

Throughout the long centuries of western metaphysics the problem of the infinite has kept surfacing in different but important ways. It had confronted Greek philosophical speculation from earliest times. It appeared in the definition of the divine attributed to Thales in Diogenes Laertius (I, 36) under the description "that which has neither beginning nor end. " It was presented on the scroll of Anaximander with enough precision to allow doxographers to transmit it in the technical terminology of the unlimited (apeiron) and the indeterminate (aoriston). The respective quanti tative and qualitative implications of these terms could hardly avoid causing trouble. The formation of the words, moreover, was clearly negative or privative in bearing. Yet in the philosophical framework the notion in its earliest use meant something highly positive, signifying fruitful content for the first principle of all the things that have positive status in the universe. These tensions could not help but make themselves felt through the course of later Greek thought. In one extreme the notion of the infinite was refined in a way that left it appropriated to the Aristotelian category of quantity. In Aristotle (Phys. III 6-8) it came to appear as essentially re quiring imperfection and lack. It meant the capacity for never-ending increase. It was always potential, never completely actualized.

The purpose of this series is to provide a contemporary assessment and history of the entire course of philosophical thought. Each book constitutes a detailed, critical introduction to the work of a philosopher of major influence and significance.

The contributors to this volume offer, in the light of specialised knowledge of leading philosophers of the ancient world, answers to the question: how are we to read and understand the surviving texts of Parmenides, Plato, Aristotle, Plotinus and Augustine?

There can be little doubt that the Greek tradition of philosophical criticism had its main source in Ionia. . . It thus leads the tradition which created the rational or scienti?c attitude, and with it our Western civilization, the only civilization, which is based upon science (though, of course, not upon science alone). Karl Popper, Back to the Presocratics Harvard University physicist and historian of Science, Gerald Holton, coined the term “Ionian Enchantment”, an expression that links the idea back in the 6th c- tury B. C. to the ancient Ionians along the eastern Aegean coast, while capturing its fascination. Approximately within a seventy- ve year period (600–525 B. C. ) -a split second in the history of humanity- the three Milesian thinkers, Thales, Anaximander and Anaximenes, without plain evidence, but with an unequalled power of critical abstraction and intuition, had achieved a true intellectual re- lution; they founded and bequeathed to future generations a new, unprecedented way of theorizing the world; it could be summarized in four statements: beneath the apparent disorder and multiplicity of the cosmos, there exists order, unity and stability; unity derives from the fundamental primary substratum from which the cosmos originated; this, and, consequently, the cosmic reality, is one, and is based not on supernatural, but on physical causes; they are such that man can - vestigate them rationally. These four statements are neither self-evident nor se- explanatory.

The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22—24, 2015.

Papers collected in this volume try to illuminate various aspects of philosophical theology dealt with by different Jewish and early Christian authors and texts (e.g. the Acts of the Apostles, Philo, Origen, Gregory of Nazianzus), rooted in and influenced by the Hellenistic religious, cultural, and philosophical context, and they also focus on the literary and cultural traditions of Hellenized Judaism and its reception (e.g. Sibylline Oracles, Prayer of Manasseh), including material culture ("Elephant Mosaic Panel" from Huqoq synagogue). By studying the Hellenistic influences on early Christianity, both in response to and in reaction against early Hellenized Judaism, the volume intends not only to better understand Christianity, as a religious and historical phenomenon with a profound impact on the development of European civilization, but also to better comprehend Hellenism and its consequences which have often been relegated to the realm of political history.