Ancient Logic and Its Modern Interpretations

1. Front Matter

   Pages I-X

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2. Ancient Semantics

   1. Front Matter

      Pages 1-1

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   2. Aristotle on Spoken Sound Significant by Convention

      • Norman Kretzmann

      Pages 3-21

   3. Inarticulate Noises

      • Ronald Zirin

      Pages 23-25

   4. Notes for a Linguistic Reading of the Categories

      • Newton Garver

      Pages 27-32

3. Modern Research in Ancient Language

   1. Front Matter

      Pages 33-33

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   2. Greek Mathematics and Greek Logic

      • Ian Mueller

      Pages 35-70

   3. Modern Notations and Ancient Logic

      • John Mulhern

      Pages 71-82

4. Aristotle’s Logic

   1. Front Matter

      Pages 83-83

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   2. Aristotle’s Natural Deduction System

      • John Corcoran

      Pages 85-131

   3. Corcoran on Aristotle’s Logical Theory

      • Mary Mulhern

      Pages 133-148

5. Stoic Logic

   1. Front Matter

      Pages 149-149

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   2. Deduction in Stoic Logic

      • Josiah Gould

      Pages 151-168

   3. Remarks on Stoic Deduction

      • John Corcoran

      Pages 169-181

6. Final Session of the Symposium

   1. Front Matter

      Pages 183-183

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   2. Future Research on Ancient Theories of Communication and Reasoning

      • John Corcoran

      Pages 185-187

   3. A Panel Discussion on the Future Research in Ancient Logical Theory

      • John Corcoran

      Pages 189-208

7. Back Matter

   Pages 209-217

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During the last half century there has been revolutionary progress in logic and in logic-related areas such as linguistics. HistoricaI knowledge of the origins of these subjects has also increased significantly. Thus, it would seem that the problem of determining the extent to which ancient logical and linguistic theories admit of accurate interpretation in modern terms is now ripe for investigation. The purpose of the symposium was to gather logicians, philosophers, linguists, mathematicians and philologists to present research results bearing on the above problem with emphasis on logic. Presentations and discussions at the symposium focused themselves into five areas: ancient semantics, modern research in ancient logic, Aristotle's logic, Stoic logic, and directions for future research in ancient logic and logic-related areas. Seven of the papers which appear below were originally presented at the symposium. In every case, discussion at the symposium led to revisions, in some cases to extensive revisions. The editor suggested still further revisions, but in every case the author was the finaljudge of the work that appears under his name.

• Aristotle
• Symposium
• evolution
• future
• knowledge
• linguistics
• logic
• mathematics
• noise
• notation
• present
• semantic
• semantics
• sound
• subject

• State University of New York at Buffalo, Buffalo, USA

  John Corcoran

Policies and ethics