This collection of articles and review essays, including many hard to find pieces, comprises the most important and fundamental studies of Indian logic and linguistics ever undertaken. Frits Staal is concerned with four basic questions: Are there universals of logic that transcend culture and time? Are there universals of language and linguistics? What is the nature of Indian logic? And what is the nature of Indian linguistics? By addressing these questions, Staal demonstrates that, contrary to the general assumption among Western (...) philosophers, the classical philosophers of India were rationalists, attentive to arguments. They were in this respect unlike contemporary Western thinkers inspired by existentialism or hermeneutics, and like the ancient Chinese, Greeks, and many medieval European schoolmen, only--as Staal says--more so. Universals establishes that Asia's contributions are not only compatible with what has been produced in the West, but a necessary ingredient and an essential component of any future human science. (shrink)

This book offers a critical account of the fundamental elements of Leibniz's philosophy, as they manifest themselves in his metaphysics and philosophy of language. Emphasis is placed upon his hitherto neglected doctrine of nominalism, which states that only concrete individuals exist and that there are no such things as abstract entities – no numbers, geometrical figures or other mathematical objects, nor any abstractions such as space, time, heat, light, justice, goodness, or beauty. Using this doctrine as a basis, the book (...) considers the core of Leibniz's metaphysics and philosophy of language, including the well‐known principles of Contradiction, Sufficient Reason, Continuity and Individuation, and the concepts of Possible World, Individual Substance, Truth, and Necessity. (shrink)

Featuring an essay by the author on the role of intellectuals in society and government, a fascinating volume sheds light on the relation between language, mind ...

This book traces the development of formal logic from its origins inancient Greece to the present day. The authors first discuss the work oflogicians from Aristotle to Frege, showing how they were influenced by thephilosophical or mathematical ideas of their time. They then examinedevelopments in the present century.

In The Ambitions of Curiosity, first published in 2002, one of the world's foremost philosophers of science explores the origins and growth of systematic inquiry in Greece, China, and Mesopotamia. Professor Lloyd examines which factors stimulated or inhibited this development, and whose interests were served. He asks who set the agenda? What was the role of the state in sponsoring, supporting or blocking research, in such areas as historiography, natural philosophy, medical research, astronomy, technology, pure and applied mathematics? How were (...) each of those fields defined and developed in different ancient societies? How did truly innovative thinkers persuade their own contemporaries to accept their work? Professor Lloyd explores the different routes those developments took in China, Greece and Mesopotamia, and demonstrates the unexpected results of many research efforts, as well as the tensions between state control and individual innovation and the different ways they were resolved - problems that remain central to scientific research today. (shrink)

If faraway peoples have different ideas from our own, is this because they have different mentalities? Did our remote ancestors lack logic? The notion of distinct mentalities has been used extensively by historians to describe and explain cultural diversity. Professor Lloyd rejects this psychologising talk of mentalities and proposes an alternative approach, which takes as its starting point the social contexts of communication. Discussing apparently irrational beliefs and behaviour, he shows how different forms of thought coexist in a single culture (...) but within conventionally defined contexts. (shrink)

For more than a century, there has been some discussion about whether medieval Arabic al-jabr has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BCE, and which inspired first the so-called “algebra” of the Old Babylonian scribal school and later (...) the geometry of Elements II. The riddles also turn up in ancient Greek practical geometry and Jaina mathematics. Eventually they reached European mathematics via the Islamic world. However, no evidence supports a derivation of medieval Indian algebra or the original core of al-jabr from the riddles. (shrink)

The law of gravitation, an example of physical law The relation of mathematics to physics The great conservation principles Symmetry in physical law The distinction of past and future Probability and uncertainty: the quantum mechanical view of nature Seeking new laws.

A retitled and wholly revised edition of "The World Within the World, " Barrow's extraordinary study of how we view the universe, this book traces the development of the human concept of what the laws of nature are and how we might better come to know them. Illustrations.

The Description for this book, The Mechanization of the World Picture: Pythagoras to Newton, will be forthcoming.

Did science and philosophy develop differently in ancient Greece and ancient China? If so, can we say why? This book consists of a series of detailed studies of cosmology, natural philosophy, mathematics and medicine that suggest the answer to the first question is yes. To answer the second, the author relates the science produced in each ancient civilization first to the values of the society in question and then to the institutions within which the scientists and philosophers worked.

A collection of essays in which philosophers of widely different interests grapple with the problem of the relative and the absolute in philosophy and religion.

"One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion. ...

This book is a fascinating and accessible summary of Roger Penrose's current thinking on those areas of physics in which he feels there are major...

Winner of the Wolf Prize for his contribution to our understanding of the universe, Penrose takes on the question of whether artificial intelligence will ever ...

This book challenges several widespread views concerning Aristotle's methods and practices of scientific and philosophical research. Taking central topics in psychology, zoology, astronomy and politics, Professor Lloyd explores generally unrecognised tensions between Aristotle's deeply held a priori convictions and his remarkable empirical honesty in the face of complexities in the data or perceived difficult or exceptional cases. The picture that emerges of Aristotle's actual engagement in scientific research and of his own reflections on that research is substantially more complex than (...) is usually allowed. (shrink)

In the history of the Indian grammatical tradition, Bhartṛhari (about fifth century C.E.) is the fourth great grammarian - after Pāṇini, Kātyāyana and Patañjali - and the first to make the philosophical aspects of language and grammar the main subject of an independent work. This work, the Vākyapadīya (VP), consists of about 2000 philosophical couplets or kārikās. Since the latter half of the nineteenth century, the VP has been known to Western Sanskritists, but its language-philosophical contents have started to receive (...) serious attention only in the last few decennia. The subject matter of the VP resonates strongly with crucial themes in twentieth-century Western thought, although the background and the way the issues are elaborated are quite different. Scholars have compared and contrasted Bhartṛhari's ideas with those of de Saussure, Wittgenstein and Derrida. A theme which, as a leitmotiv, pervades the entire VP is the relation between language, thought and reality. In several Indian traditions, a proper insight into this relation was (and still is) held to be of importance for attaining 'liberation'. (shrink)

Infinite in All Directions is a popularized science at its best. In Dyson's view, science and religion are two windows through which we can look out at the world around us. The book is a revised version of a series of the Gifford Lectures under the title "In Praise of Diversity" given at Aberdeen, Scotland. They allowed Dyson the license to express everything in the universe, which he divided into two parts in polished prose: focusing on the diversity of the (...) natural world as the first, and the diversity of human reactions as the second half. Chapter 1 is a brief explanation of Dyson's attitudes toward religion and science. Chapter 2 is a one-hour tour of the universe that emphasizes the diversity of viewpoints from which the universe can be encountered as well as the diversity of objects which it contains. Chapter 3 is concerned with the history of science and describes two contrasting styles in science: one welcoming diversity and the other deploring it. He uses the cities of Manchester and Athens as symbols of these two ways of approaching science. Chapter 4, concerned with the origin of life, describes the ideas of six illustrious scientists who have struggled to understand the nature of life from various points of view. Chapter 5 continues the discussion of the nature and evolution of life. The question of why life characteristically tends toward extremes of diversity remains central in all attempts to understand life's place in the universe. Chapter 6 is an exercise in eschatology, trying to define possible futures for life and for the universe, from here to infinity. In this chapter, Dyson crosses the border between science and science fiction and he frames his speculations in a slightly theological context. (shrink)

We argue that an understanding of the faculty of language requires substantial interdisciplinary cooperation. We suggest how current developments in linguistics can be profitably wedded to work in evolutionary biology, anthropology, psychology, and neuroscience. We submit that a distinction should be made between the faculty of language in the broad sense (FLB)and in the narrow sense (FLN). FLB includes a sensory-motor system, a conceptual-intentional system, and the computational mechanisms for recursion, providing the capacity to generate an infinite range of expressions (...) from a finite set of elements. We hypothesize that FLN only includes recursion and is the only uniquely human component of the faculty of language. We further argue that FLN may have evolved for reasons other than language, hence comparative studies might look for evidence of such computations outside of the domain of communication (for example, number, navigation, and social relations). (shrink)

ah¯ aras) are defined on the ´ Sivas¯ utras and other similarly organized lists by the convention that if xq is followed in the list by the marker Q, then xpQ denotes the set of elements xp, xp+1, ... xq. The phonological classes defined in this way are referred to in hundreds of rules in the As.t.¯adhy¯ay¯i.