It can not be our purpose to give here a complete account of the phenomenological history of mathematical doctrine. It will be enough to refer to the battle of opinions in mathematical theory which was waged within the last eighty-five years, since Riemann's inaugural lecture on Non-Euclidean Geometry. Furthermore, the revolution which Einstein's theory of general relativity created is indicative of the complete absence of any general awareness that mathematics as a science has any relation to social reality. If we (...) are going to establish such relations, we are conscious of the fact that they would be hotly contended by many mathematicians. (shrink)

This is an endeavour by an international team of scholars to present the contents of Indian Philosophical texts to a wider public than has hitherto been possible. It will provide a definitive summary of current knowledge about each of the systems of classical Indian Philosophy. Each volume will consist of an extended analytical essay together with summaries of every extant work of the system.Volume I. Bibliography (2Pts.) (3rd rev. Ed.): This volume indicates the scope of the project and provides a (...) list of sources which will be surveyed in the subsequent volumes, as well as provides a guide to secondary literature for further study of Indian Philosophy. Volume II. Indian Metaphysics and Epistemology: The Tradition of Nyaya Vaisesika up to Gangesa (Part One). The volume provides a detailed resume of current knowledge about the classical Indian Philosophical System of Nyaya-Vaisesika in its earlier stages.Volume III. Advaita Vedanta (Part One): This volume summarizes all that we know of early Advaita Vedanta up to Samkara`s pupils. Volume IV. Samkhya: A Dualist Tradition in Indian Philosophy traces the history of the system from its beginnings in the third or fourth century B.C. up through the twentieth century. Volume V. The Philosophy of Grammarians: This Volume of the Encyclopedia of Indian Philosophies is devoted to the Philosophy of the Grammarians.Volume VI. Indian Philosophical Analysis Nyaya-Vaisesika from Gangesa to Raghunatha Siromani: The present volume of the Encyclopedia of Indian Philosophies takes up the history of Nyaya-Vaisesika where Volume Two left off, in the 14th century. Volume VII. Abhidharma Buddhism to 150 A.D.: The present volume undertakes to summarize the gist of these philosophical teachings, termed Abhidharma, from the first texts that developed after the Buddha up to and including the mammoth text called Mahavibhasa, generated from a convention held in the first or second century A.D.Other Volumes in Preparation: Yoga Philosophy, Samkhya Philosophy, Grammarian Philosophy, Jaina Philosophy, Kashmir Saiva Philosophy, Dvaita Vedanta, Abhidharma Philosophy, Madhyamika Philosophy, Yogacara Philosophy, Buddhist Logicians. (shrink)

Neurophysiological evidence consonant with F&L's lambda model is reviewed and results of additional experiments are presented. The evidence shows that there are neurons in the motor cortex that respond to selective band widths of passive sinusoidal movements; the additional data show how, with movement, directionally sensitive population vectors can be shown to emerge from the data.

The roles played by physics in the study of the life sciences have taken many forms over the past 100 years. Here we analyze how physics can be brought to bear on the contemporary study of morphogenesis, where new tissue-scale forms arise out of simpler, more homogenous, initial structures. We characterize how morphogenesis has been studied through reductionist approaches and discuss their limitations. We suggest that an alternative way of approaching morphogenesis that begins with a consideration of the whole may (...) also serve as a fruitful mode of scientific inquiry. Through historical analysis of concepts relevant for contemporary systems biology, we illustrate how physical thinking oriented toward the biological whole (“holistic biophysical thinking”) was exemplified in the biological theories presented earlier by D’Arcy Thompson (1860–1948) and Pere Alberch (1954–1998). We contrast the use of physics to develop the conceptual foundations of holistically oriented systems biology with the more prevalent contemporary use of physics that focuses on technological development and quantification, embedded within reductionist strategies. As an in-depth contemporary case study, we describe how in our research we have used holistic biophysical thinking to develop biological theories of vertebrate morphogenesis that account for and extend beyond genetic, molecular, and cellular processes. We propose a theory of skin development where _both_ molecular _and_ morphological patterns are orchestrated by emergent physical processes at the supracellular scale. We further posit that holistic biophysical thinking at the supracellular scale may advance theories of diseases such as cancer. (shrink)

Astavakragita (The Song of the Self Supreme) contains the Sanskrit text of Astavakragita (both in Nagari and Roman script), its English translation, Exegesis and Glossarial Index. It presents in twenty chapters the substance of Astavakra`s teaching in respect of the Cosmic Self in the form of his dialogue with Janaka, the seer-king of Videha. The teaching is based on the Upanisadic creed of Absolute monism (Advaitavada) that identifies the Self with the non-dual Ultimate Reality. But the contribution of Astavakra is (...) also immense, for he has introduced the element of emotional experience or the mystical feeling as the means for realizing the non-dual nature of the Self. Written in a lucid style and dealing systematically with the subject matter, the book will hold a unique position among the contemplative classics of the world. (shrink)

The third in a series, this volume is a reference book of summaries of the main works in the Advaita tradition during the primary phase of its development in the sixth and seventh centuries A.D., up to and including the works of Samkara and his pupils. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of (...) these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

In the context of this publication on blindsight, I want to address further the brain processes critically responsible for organizing our conscious experience. As in a previous related publication , I am restricting myself to brain and conscious experience, not the fuller topic of ‘consciousness’ as this might be determined by genetic and environmental factors, nor as it is defined in Eastern traditions and in esoteric Western religion and philosophy. For my thoughts on this broader topic the reader is referred (...) to a recent publication prepared for the centennial celebration of Norbert Wiener's birth. That paper is entitled: ‘What is Mind that the Brain May Order It? (shrink)

The complementary systems of Nyaya and Vaisesika constitute one of the oldest and most important traditions within Indian philosophy. This volume offers a systematic and detailed exposition of the two schools from their beginning to the time of Gangesa. An extensive interpretive essay introduces summaries of most of the known works written within the tradition. The result is both an excellent introduction for students and an indispensable guide to the thought and literature of early Nyaya-Vaisesika. Originally published in 1978. The (...) Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

Many sophisticated essays and books have been written about the topic of consciousness. My own contributions date back some twenty-five years in an essay entitled 'Problems concerning the structure of consciousness' (Pribram 1976), and five years before that in delineating the difference between brain processes that are coordinate with awareness and those that are coordinate with habitual behavior (Pribram 1971a). I have been intrigued by what has been written since and take this occasion to reassess a few of the major (...) issues that have arisen. (shrink)

Having seen the development of Shepard's program at close hand, I have been inspired by the sophistication of his results. However, his program deals with only half of what is needed: Shepard's research tells what the perception/cognitive process is about, it does not tell how that process is implemented. True, Shepard has recourse to the “how” of process in evolution, but that is not the “how” of everyday implementation. For that we need to know the brain processes with which we (...) can implement Shepard's insights. [Shepard]. (shrink)