In recent decades, a growing body of educational scholarship has called into question deeply embedded assumptions about the nature, value and consequences of reason. Education and the Limits of Reason extends this critical conversation, arguing that in seeking to investigate the meaning and significance of reason in human lives, sources other than non-fiction educational or philosophical texts can be helpful. Drawing on the work of Dostoevsky, Tolstoy and Nabokov, the authors demonstrate that literature can allow us to see how reason is understood and expressed, contested and compromised – by distinctive individuals, under particular circumstances, in complex and varied relations with others. Novels, plays and short stories can take us into the workings of a rational or irrational mind and show how the inner world of cognitive activity is shaped by external events. Perhaps most importantly, literature can prompt us to ask searching questions of ourselves; it can unsettle and disturb, and in so doing can make an important contribution to our educational formation. An original and thought provoking work, Education and the Limits of Reason offers a fresh perspective on classic texts by Dostoevsky, Tolstoy and Nabokov, and encourages readers to reconsider conventional views of teaching and learning. This book will appeal to a wide range of academics, researchers and postgraduate students in the fields of education, literature and philosophy.

In recent decades, a growing body of educational scholarship has called into question deeply embedded assumptions about the nature, value and consequences of reason. Education and the Limits of Reason extends this critical conversation, arguing that in seeking to investigate the meaning and significance of reason in human lives, sources other than non-fiction educational or philosophical texts can be helpful. Drawing on the work of Dostoevsky, Tolstoy and Nabokov, the authors demonstrate that literature can allow us to see how reason is understood and expressed, contested and compromised – by distinctive individuals, under particular circumstances, in complex and varied relations with others. Novels, plays and short stories can take us into the workings of a rational or irrational mind and show how the inner world of cognitive activity is shaped by external events. Perhaps most importantly, literature can prompt us to ask searching questions of ourselves; it can unsettle and disturb, and in so doing can make an important contribution to our educational formation. An original and thought provoking work, Education and the Limits of Reason offers a fresh perspective on classic texts by Dostoevsky, Tolstoy and Nabokov, and encourages readers to reconsider conventional views of teaching and learning. This book will appeal to a wide range of academics, researchers and postgraduate students in the fields of education, literature and philosophy.

This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

It is well known that Socrates was executed by the city of Athens for not believing in the gods and for corrupting the youth. Despite this, it is not widely known what he really thought, or taught the youth to think, about philosophy, the gods, and political affairs. Of the few authors we rely on for firsthand knowledge of Socrates—Aristophanes, Xenophon, Plato, and Aristotle—only Xenophon, the least read of the four, lays out the whole Socratic education in systematic order. In Xenophon's Socratic Education, through a careful reading of Book IV of Xenophon's Memorabilia, Dustin Sebell shows how Socrates ascended, with his students in tow, from opinions about morality or politics and religion to knowledge of such things. Besides revealing what it was that Socrates really thought—about everything from self-knowledge to happiness, natural theology to natural law, and rhetoric to dialectic—Sebell demonstrates how Socrates taught promising youths, like Xenophon or Plato, only indirectly: by jokingly teaching unpromising youths in their presence. Sebell ultimately shows how Socrates, the founder of moral and political philosophy, sought and found an answer to the all-important question: should we take our bearings in life from human reason, or revealed religion?

Through lucid theoretical analysis and his own extensive experience in these areas, he demonstrates that the outcomes of rationally conceived programs are usually at odds with the intended result. Eisenberg traces this failure to an intrinsic logical incompatibility between what reason tries to do and what it can do. Rational method is premised on the possibility of conceiving and correlating all operative factors in a given process. However, all such factors cannot be taken into account. Using a social variation of the "principle of indeterminancy," the author notes that reason cannot take itself into account any more than the eye can see itself seeing or the hand can grasp itself grasping. Similarly, reason cannot control how institutional structure affects social behavior, nor how legal language determines social reality. Eisenberg locates an intrinsic indeterminacy in society that precludes total or even substantial understanding and control of our destinies

. Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.

A mind-bending excursion to the limits of science and mathematics Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the centuries, from ancient mathematical conundrums such as "squaring the circle," first attempted by the Pythagoreans, to G?del's vexing theorem, from perpetual motion to the upredictable behavior of chaotic systems such as the weather. A. K. Dewdney, PhD (Ontario, Canada), was the author of Scientific American's "Computer Recreations" column for eight years. He has written several critically acclaimed popular math and science books, including A Mathematical Mystery Tour (0-471-40734-8); Yes, We Have No Neutrons (0-471-29586-8); and 200% of Nothing (0-471-14574-2).

First Published in 1988. The critical thinking movement is increasingly important in the philosophy of education. Beginning from the generally accepted view that children should be taught to reason, not simply to repeat what they have been told, it tries to establish whether it is in fact possible to teach children a set of skills which add up to thinking. Siegel here examines three major conceptions of critical thinking and then puts forward his own definition of the critical thinker as one who is appropriately moved by reasons'. He argues that critical thinking is a fundamental educational ideal, and defends the ideal against charges of indoctrination. Chapters on science education and minimum competency testing highlight its practical implications for education policy and curriculum. This book should be of interest to lecturers and students of education and philosophy.

This book explores the implications for the curriculum, for teaching and for the authority structure of schools and colleges of an analysis of ‘education’ in which the development of knowledge and understanding is accorded a central position. The book explains what philosophy of education is, and by concentrating on its central concepts, initiates readers into exploring it for themselves. It also serves as a succinct introduction to the growing literature on philosophy of education in the UK.

With a new foreword by Jonathan Lear 'Remarkably lively and enjoyable...It is a very rich book, containing excellent descriptions of a variety of moral theories, and innumerable and often witty observations on topics encountered on the way.' - Times Literary Supplement Bernard Williams was one of the greatest philosophers of his generation. Ethics and the Limits of Philosophy is not only widely acknowledged to be his most important book, but also hailed a contemporary classic of moral philosophy. Drawing on the ideas of the Greek philosophers, Williams reorients ethics away from a preoccupation with universal moral theories towards ‘truth, truthfulness and the meaning of an individual life’. He explores and reflects upon the most difficult problems in contemporary philosophy and identifies new ideas about central issues such as relativism, objectivity and the possibility of ethical knowledge. This edition also includes a commentary on the text by A.W.Moore. At the time of his death in 2003, Bernard Williams was hailed by the Times as 'the outstanding moral philosopher of his age.' He taught at the Universities of Cambridge, Berkeley and Oxford and is the author of many influential books, including Morality; Descartes: The Project of Pure Enquiry (available from Routledge) and Truth and Truthfulness.