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In this part of the Posterior Analytics Aristotle elaborates his assessment of how universal truths of science can be scientifically explained as inevitable in demonstrative proofs. But he introduces complications: some sciences discuss phenomena that can only be explained by higher sciences and again sometimes we reason out a cause from an effect, rather than an effect from a cause. Philoponus takes these issues further. Reasoning from particular to universal is the direction taken by induction, and in mathematics reasoning from a theorem to the higher principles from which it...

Since its publication in 1994, Richard McKirahan's "Philosophy Before Socrates" has become the standard sourcebook in Presocratic philosophy. It provides a wide survey of Greek science, metaphysics, and moral and political philosophy, from their roots in myth to the philosophers and Sophists of the fifth century. A comprehensive selection of fragments and testimonia, translated by the author, is presented in the context of a thorough and accessible discussion. An introductory chapter deals with the sources of Presocratic and Sophistic texts and the special problems of interpretation they...

Aristotle's Physics is about the causes of motion and culminates in a proof that God is needed as the ultimate cause of motion. Aristotle argues that things in motion need to be moved by something other than themselves - he rejects Plato's self-movers. On pain of regress, there must be an unmoved mover. If this unmoved mover is to cause motion eternally, it needs infinite power. It cannot, then, be a body, since bodies, being of finite size, cannot house infinite power. The unmoved mover is therefore an incorporeal God. Simplicius reveals that his teacher, Ammonius, harmonised...

The purpose of the conference "On Pythagoreanism," held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli's paper opens the volume by charting the course of Pythagorean studies over the past two...

In accordance with the purpose of the series Traditio Praesocratica, the present volume, the first in the series, contains the most complete collection ever assembled of the documentary evidence on Thales of Miletus. Approximately 600 texts, dating from the sixth century BCE to the fourteenth century CE, are presented in chronological order, both in the original language (Greek, Latin, Arabic and Persian) and in a facing English translation. The original-language texts are reprinted (with corrections) from Georg Wohrle's edition (2009). Several texts discovered since the...

Aristotle's Posterior Analytics elaborates for the first time in the history of Western philosophy the notions of science and the requirements for the distinctive kind of knowledge scientists possess. His model is mathematics and his treatment of science amounts to a philosophical discussion, from the perspective of Aristotelian syllogistic, of mathematical proofs and the principles they are based on. Chapters 1-8 expound the foundations of Aristotle's theory, pointing out the similarities and differences between scientific knowledge and other types of knowledge, establishing the...

In this part of the Posterior Analytics, Aristotle elaborates his assessment of how universal truths of science can be scientifically explained as inevitable in demonstrative proofs. But he introduces complications: some sciences discuss phenomena that can only be explained by higher sciences and again sometimes we reason out a cause from an effect, rather than an effect from a cause. Philoponus takes these issues further. Reasoning from particular to universal is the direction taken by induction, and in mathematics reasoning from a theorem to the higher principles from which it...