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Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.
Ten essays of this book, two of which are written in Sanskrit, range from modern logic to classical Indian theories of inference. Classical Indian philosophy comprising Pracina and Navya- Nyaya, Sankhya, Buddhist and Jaina logical and philosophical standpoints are discussed in most modern technical terms of western philosophy, often with the aid of terminologies of modern logic. Similarly, western ideas propounded by the ancient Greek philosophers like Aristotle as well as contemporary philosophers such as Frege, Russell, Srawson, Kripke and many others are placed against the backdrop of classical Indian philosophy. The book will be immensely useful to those interested in stimulating meaningful dialogues between philosophical thinkings of India and the West. The book will also be of interest to those who aim at broadening the horizon of logic and philosophy.
Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.