In lieu of an abstract, here is a brief excerpt of the content:Abraham, Planter of Mathematics":Histories of Mathematics and Astrology in Early Modern EuropeNicholas PopperFrancis Bacon's 1605 Advancement of Learning proposed to dedicatee James I a massive reorganization of the institutions, goals, and methods of generating and transmitting knowledge. The numerous defects crippling the contemporary educational regime, Bacon claimed, should be addressed by strengthening emphasis on philosophy and natural knowledge. To that end, university positions were to be created devoted (...) to "Artes and Sciences at large," rather than to the professions. High salaries would render lecturers "able and sufficient," undistracted from their task. Most famously, he argued that teaching of the "operatiue studie of many Scyences" should involve sophisticated technical education. The study of natural philosophy demanded not only books, but globes, astrolabes, and other "instrumentals." Most significantly, yielding reliable and meaningful knowledge from experiential gleanings required a rigorous system of deductive reasoning.The legacy of this colossal proposal has earned Bacon honored status as devisor of the scientific method.1 But Bacon's educational reform extended [End Page 87] beyond the methods of producing and transmitting knowledge. To facilitate more efficient "vse and administration" of the knowledge produced by his system, he also demanded a searching examination of the history of learning. This history would provide a mirror enabling his contemporaries to deploy the fruits of his method, by considering how learning in the past had been used successfully or ill-advisedly. Producing this history was the ambition of the Advancement, for he explained: "no man hath propounded to himselfe the generall state of learning to bee described and represented from age to age, as many have done the works of Nature, & the State civile and Ecclesiastical." He continued:And yet I am not ignorant that in divers particular sciences, as of the Iurisconsults, the Mathematicians, the Rhetoricians, the Philosophers, there are set down some smal memorials of the Schooles, Authors, and Bookes: and so likewise some barren relations touching the Invention of Arts, or usages. But a iust story of learning, containing the Antiquities and Originalls of Knowledges, & their Sects; their Inventions, their Traditions; their diverse Administrations and Managings; their Flourishings, their Oppositions, Decayes, Depressions, Oblivions, Removes, with the causes, and occasions of them, and all other events concerning learning, throughout the ages of the world; I may truly affirme to be wanting.2Bacon thus positioned himself not only as a Father of Modern Science, but also a Father of the History of Science.Following Bacon's suggestion, I will examine the "small memorials" of the history of mathematics—and particularly the mathematical art of astrology—in the sixteenth and seventeenth centuries. My conclusion, however, will not bear out Bacon's claims. Despite his frustration, Bacon was only one of many early modern scholars appraising the role of mathematics within history. And he devoted less energy than others to mapping its origins and tracing its transmissions between communities. In fact, Bacon's 1605 proposal for a history of mathematics was already out-of-date. Discussions [End Page 88] of the history of mathematics had been rife on the continent and in England throughout the previous century.3The evidence that Renaissance scholars inherited was sprawling and inconclusive. Several genealogies for mathematics could be found within classical Greek, Latin, and patristic references. One lineage claimed mathematics began in ancient Assyria, where the priestly caste, the Chaldeans, practiced a form of mathematics that seemed a corrupt admixture of philosophy, medicine, and religion, and relied heavily on observation of the heavens. Other scholars traced the origins to Egypt, claiming that the field developed to survey lands frequently flooded by the Nile. The real problem for ancient, late antique, and medieval scholars had not been the origins of mathematics, but what exactly mathematics were. For some, the term strictly referred to the quadrivium: geometry, arithmetic, astronomy, and music. But for others, mathematics' origins amongst the Egyptians or Chaldeans inextricably linked it to forms of astrological divination, augury, and necromancy that were unsavory to both Latin and Christian traditions. Mathematici were included alongside ghastly lists of Magi, Brahmins, Aruspices, Genethliaci, and other diabolic practitioners of idolatrous magic. These might or might not be distinguished from mathematici such as Pythagoras... (shrink)

‘If in this book harsh words are spoken about some of the greatest among the intellectual leaders of mankind, my motive is not, I hope, to belittle them. It springs rather from my conviction that, if our civilization is to survive, we must break with the habit of deference to great men.’ - Karl Popper, from the Preface Written in political exile during the Second World War and first published in two volumes in 1945, Karl Popper’s _The Open (...) Society and Its Enemies _is one of the most influential books of all time. Hailed by Bertrand Russell as a ‘vigorous and profound defence of democracy’, its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems and through underground editions become an inspiration to lovers of freedom living under communism in Eastern Europe. Popper’s highly accessible style, his erudite and lucid explanations of the thoughts of great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of _The Open Society and Its Enemies_ and why it demands to be read today and in years to come. (shrink)

Challenging the theory of induction in teacher education, this book proposes a knowledge-building framework based on the critical rationalism of philosopher of science, Karl Popper. The Objective Knowledge Growth Framework developed in this book is designed to be an effective critical analysis framework for empowering teachers and schools to build and share professional knowledge. This book is essential reading for educational scholars, researchers, professionals, policymakers, and all those interested in exploring the application of Popperian philosophy to the (...) field of education and re-envisioning educational practice. (shrink)

The way in which knowledge progresses, and especially our scientific knowledge, is by unjustified anticipations, by guesses, by tentative solutions to our problems, by conjectures. These conjectures are controlled by criticism: that is, by attempted refutations, which include severely critical tests. They may survive these tests; but they can never be positively justified: they can neither be established as certainly true nor even as 'probable'. Criticism of our conjectures is of decisive importance: by bringing out our mistakes it makes us (...) understand the difficulties of the problems which we try to solve. This is how we become better acquainted with our problem, and able to propose more mature solutions: the very refutation of a theory - that is, of a tentative solution to our problem - is always a step forward that takes us nearer the truth. And this is how we can learn from our mistakes. As we learn from our mistakes our knowledge grows, even though we may never know - that is, know for certain. Since our knowledge can grow, there can be no reason here for despair of reason. And since we can never know for certain, the can be no authority here for any claim to authority, for conceit over our knowledge, or for smugness. The essays and lectures of which this book is composed apply this thesis to many topics, ranging from problems of the philosophy and history of the physical and social sciences to historical and political problems. (shrink)

In this long-awaited volume, Jeremy Shearmur and Piers Norris Turner bring to light Popper's most important unpublished and uncollected writings from the time of The Open Society until his death in 1994. After The Open Society: Selected Social and Political Writings reveals the development of Popper's political and philosophical thought during and after the Second World War, from his early socialism through to the radical humanitarianism of The Open Society. The papers in this collection, many of which are (...) available here for the first time, demonstrate the clarity and pertinence of Popper's thinking on such topics as religion, history, Plato and Aristotle, while revealing a lifetime of unwavering political commitment. After The Open Society illuminates the thought of one of the twentieth century's greatest philosophers and is essential reading for anyone interested in the recent course of philosophy, politics, history and society. (shrink)

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

Popper formulates and explains his non-justificationist theory of knowledge. Science--empirical science--aims at true explanatory theories, yet it can never prove, finally establish, or justify any of its theories as true, not even if it is in fact a true theory. Science must continue to question and criticize all its theories, even those which happen to be true.

"Bartley and Radnitzky have done the philosophy of knowledge a tremendous service. Scholars now have a superb and up-to-date presentation of the fundamental ideas of evolutionary epistemology." --Philosophical Books.

Written in political exile during the Second World War and first published in 1945, Karl Popper's The Open Society and Its Enemiesis one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of great (...) philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies, and for why it demands to be read both today and in years to come. This is the second of two volumes of The Open Society and Its Enemies. (shrink)

‘If in this book harsh words are spoken about some of the greatest among the intellectual leaders of mankind, my motive is not, I hope, to belittle them. It springs rather from my conviction that, if our civilization is to survive, we must break with the habit of deference to great men.’ - Karl Popper, from the Preface Written in political exile during the Second World War and first published in two volumes in 1945, Karl Popper’s The Open (...) Society and Its Enemies is one of the most influential books of all time. Hailed by Bertrand Russell as a ‘vigorous and profound defence of democracy’, its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems and through underground editions become an inspiration to lovers of freedom living under communism in Eastern Europe. Popper’s highly accessible style, his erudite and lucid explanations of the thoughts of great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies and why it demands to be read today and in years to come. (shrink)

Physical and chemical processes may act upon the mind; and when we are writing a difficult letter, our mind acts upon our body and, through a chain of physical...

This article provides an overview of a number of research studies conducted within the field of parenthood and reproduction in a variety of Western cultures, including Slovakia and the countries of Eastern Europe. The main aim of this overview is to analyse two key indicators on Second Demographic Transition: delaying marriage and parenthood until later on in life and the growth in cohabitation as an alternative living arrangement and childbearing as part of that. The author points out that the majority (...) of parents opt to have a first child and this brings normative and emotional fulfilment. Most young people do not reject this, but simply postpone it until later on in life. The hypothesis is postulated that the decision on whether to have further children is to a larger extent rationally based and is more dependent on weighing up the incentives available from the state. The article emphasises, on the basis of a comparison of the results of various empirical studies, that the same patterns of reproductive behaviour can produce markedly different consequences and outcomes within various subgroups of the population. It is recommended that current research into parenthood and reproduction should be extended so that studies are conducted into similar groups within subpopulations across different countries—in contrast to the current prevailing research that is focused on single countries or in comparing different countries as a whole. It is also recommended that the scope of the research be extended to compare a number of different subpopulations with similar value and life-style configurations as opposed to the majority of the current narrowly-focused approaches that concentrate on examining the differences in reproductive behaviour patterns of a section of the population selected on the basis of education. (shrink)

The basic theme of Popper's philosophy--that something can come from nothing--is related to the present situation in physical theory. Popper carries his investigation right to the center of current debate in quantum physics. He proposes an interpretation of physics--and indeed an entire cosmology--which is realist, conjectural, deductivist and objectivist, anti-positivist, and anti-instrumentalist. He stresses understanding, reminding us that our ignorance grows faster than our conjectural knowledge.

A volume in Landscapes of Education. In From Socrates to Summerhill and Beyond: Towards a Philosophy of Education for Personal Responsibility, Ronald Swartz offers an evolving development of fallible, liberal democratic, self-governing educational philosophies. He suggests that educators can benefit from having dialogues about questions such as these: 1). Are there some authorities that can be consistently relied upon to tell school members what they should do and learn while they are in school? 2.) How should the (...) imagination of social theorists be both used and checked in the development and implementation of innovative educational reforms? 3.) How can teachers in personal responsibility schools help their students learn? These questions are representative of problems that Swartz raises in his book. Swartz identifies four educational programs as personal responsibility schools. These are Little Commonwealth (Homer Lane); Summerhill (A.S.Neill); Orphans Home (Janusz Korczak) and Sudbury Valley School (Daniel Greenberg). Swartz then suggests that these learning environments create social institutions that are liberal, democratic, and self-governing and therefore endorse the policy of personal responsibility. This policy states: All school members, students included, are fallible authorities who should be personally responsible for determining their own school activities and many policies that govern a school. Schools which incorporate this policy can interchangeably be referred to as personal responsibility, self-governing, or Summerhill style schools. In providing an historical and philosophical understanding of Summerhill style schools, Swartz suggests that these educational alternatives have intellectual roots in the ideas associated with Socrates as portrayed in Plato's Apology. Specifically, in personal responsibility schools teachers are not viewed as authorities who attempt to transmit wisdom to their students. Rather, self-governing schools follow the Socratic tradition which claims that teachers can be viewed as fallible authorities who attempt to engage students in dialogues about questions of interest to students. The interpretation of Plato's works used by Swartz can be found in Karl Popper's The Open Society and Its Enemies. Swartz has also been significantly influenced by the educational writings of Bertrand Russell and Paul Goodman. Goodman's Compulsory Miseducation makes it clear that schools which follow in the tradition of Summerhill compete with the educational programs that are an outgrowth of John Dewey's writings. In summary, Swartz's book aims to engage educators in dialogues that will lead to improved educational theories and practices. (shrink)

The essays in this volume represent an approach to human knowledge that has had a profound influence on many recent thinkers. Popper breaks with a traditional commonsense theory of knowledge that can be traced back to Aristotle. A realist and fallibilist, he argues closely and in simple language that scientific knowledge, once stated in human language, is no longer part of ourselves but a separate entity that grows through critical selection.

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside _The Open Society and Its Enemies_ as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

Quantum Theory and the Schism in Physics is one of the three volumes of Karl Popper’s Postscript to the Logic of scientific Discovery . The Postscript is the culmination of Popper’s work in the philosophy of physics and a new famous attack on subjectivist approaches to philosophy of science. Quantum Theory and the Schism in Physics is the third volume of the Postscript . It may be read independently, but it also forms part of Popper’s (...) interconnected argument in the Postscript . It presents Popper’s classic statement on quantum physics and offers important insights into his thinking on problems of method within science and physics as a whole. (shrink)

That process philosophy can be the foundation of the theory and practice of educating human beings is the main argument of this book. The process philosophy of Alfred North Whitehead (1861-1947) is the particular thinking on which this book is based. Readers are shown that Whitehead's process philosophy provides a frame, a conceptual matrix, that addresses their concerns about education and offers direction for their educative acts. Whitehead theorized that all living entities are connected in some (...) way. Relatedness, connectedness, and holism are recurring themes in this exploration of Whitehead's implied philosophy of education. Whitehead never wrote a philosophy of education, but his writings over a period of nearly thirty years reveal a persistent interest and concern with education. His work, ranging from _Introduction to Mathematics_ (1911) to _Adventures of Ideas_ (1938), is drawn on here to construct, not Whitehead's philosophy of education, but, a Whiteheadian philosophy of education. _Whitehead and Philosophy of Education_ brings to scholars and students of education an understanding of Whitehead as an important figure in philosophy, particularly philosophy of education; an acquaintance with process philosophy; a brief treatment of Whitehead's life and an account of events and experiences that influenced his philosophizing; and an exploration of the educationally salient concepts found in Whitehead's formal and informal philosophy with special attention to Whitehead's ideas about creativity, process, rhythm, wisdom, and knowledge. Whitehead writes of phases of the rhythm of education - romance, precision, and generalization. The book is organized with attention to these three phases. Part One-Romance introduces readers to Whitehead the person, and the change of context for educating from a mechanistic world-view to an organismic one. Part Two-Precision examines Whitehead's writings, as they relate to process philosophy and to educating. Part Three-Generalization is an application of the explorations of Parts One and Two, yielding a construction of a Whiteheadian philosophy of education and suggestions for educational practice. (shrink)

Realism and the Aim of Science is one of the three volumes of Karl Popper’s Postscript to the Logic of scientific Discovery. The Postscript is the culmination of Popper’s work in the philosophy of physics and a new famous attack on subjectivist approaches to philosophy of science. Realism and the Aim of Science is the first volume of the Postcript . Popper here formulates and explains his non-justificationist theory of knowledge: science aims at true explanatory (...) theories, yet it can never prove, or justify, any theory to be true, not even if is a true theory. Science must continue to question and criticise all its theories, even those that happen to be true. Realism and the Aim of Science presents Popper’s mature statement on scientific knowledge and offers important insights into his thinking on problems of method within science. (shrink)

A sampling of the philosophical writings of Karl Popper includes discussions of rationalism, knowledge, human freedom, and the scientific method.

'I want to begin by declaring that I regard scientific knowledge as the most important kind of knowledge we have', writes Sir Karl Popper in the opening essay of this book, which collects his meditations on the real improvements science has wrought in society, in politics and in the arts in the course of the twentieth century. His subjects range from the beginnings of scientific speculation in classical Greece to the destructive effects of twentieth century totalitarianism, from major figures (...) of the Enlightenment such as Kant and Voltaire to the role of science and self-criticism in the arts. The essays offer striking new insights into the mind of one of the greatest twentieth century philosophers. (shrink)

At the age of eight, Karl Popper was puzzling over the idea of infinity and by fifteen was beginning to take a keen interest in his father's well-stocked library of books. Unended Quest recounts these moments and many others in the life of one of the most influential thinkers of the twentieth century, providing an indispensable account of the ideas that influenced him most. As an introduction to Popper's philosophy, Unended Quest also shines. Popper lucidly explains (...) the central ideas in his work, making this book ideal for anyone coming to Popper's life and work for the first time. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's The Open Society and Its Enemies is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of The Open Society and Its Enemies , and for why it demands to be read both today and in years to come. This is the first of two volumes of The Open Society and Its Enemies. (shrink)

Written in political exile during the Second World War and first published in 1945, Karl Popper's _The Open Society and Its Enemies_ is one of the most influential books of the twentieth century. Hailed by Bertrand Russell as a 'vigorous and profound defence of democracy', its now legendary attack on the philosophies of Plato, Hegel and Marx exposed the dangers inherent in centrally planned political systems. Popper's highly accessible style, his erudite and lucid explanations of the thought of (...) great philosophers and the recent resurgence of totalitarian regimes around the world are just three of the reasons for the enduring popularity of_The Open Society and Its Enemies_, and for why it demands to be read both today and in years to come. This is the first of two volumes of _The Open Society and Its Enemies_. (shrink)

Popper was born in 1902 to a Viennese family of Jewish origin. He taught in Austria until 1937, when he emigrated to New Zealand in anticipation of the Nazi annexation of Austria the following year, and he settled in England in 1949. Before the annexation, Popper had written mainly about the philosophy of science, but from 1938 until the end of the Second World War he focused his energies on political philosophy, seeking to diagnose the intellectual (...) origins of German and Soviet totalitarianism. The Open Society and Its Enemies was the result. In the book, Popper condemned Plato, Marx, and Hegel as "holists" and "historicists"--a holist, according to Popper, believes that individuals are formed entirely by their social groups; historicists believe that social groups evolve according to internal principles that it is the intellectual's task to uncover. Popper, by contrast, held that social affairs are unpredictable, and argued vehemently against social engineering. He also sought to shift the focus of political philosophy away from questions about who ought to rule toward questions about how to minimize the damage done by the powerful. The book was an immediate sensation, and--though it has long been criticized for its portrayals of Plato, Marx, and Hegel--it has remained a landmark on the left and right alike for its defense of freedom and the spirit of critical inquiry. (shrink)

The World of Parmenides is a unique collection of essays that not only explores the complexity of ancient Greek thought, but also reveals Popper's engagement with Presocratic philosophy and the enlightenment he experienced in reading Parmenides. It includes writings on Greek science, philosophy and history and demonstrates Popper's life-long fascination with the presocratic philosophers, in particular Parmenides, Xenophanes and Heraclitus.

This title was first published in 2000. Drawing on exclusive interviews with Karl Popper, this book provides the first comprehensive examination of the educational implications of his philosophy. Critically exploring key elements of Popper's work, his theory of knowledge, psychology of learning and politics, Richard Bailey also extrapolates an approach to teaching and learning in schools and the wider community.

With a new foreword by_ Scott Austin_ _'I hope that these essays may illustrate the thesis that all history is or should be the history of problem situations, and that in following this principle we may further our understanding of the Presocratics and other thinkers of the past. The essays also try to show the greatness of the early Greek philosophers, who gave Europe its philosophy, its science, and its humanism.'_ _- Karl Popper, from the preface _ _The (...) World of Parmenides_ is a brilliant exploration of the complexity of ancient Greek thought and science by one of the twentieth century’s leading philosophers. It reveals the great importance of Presocratic philosophy to Popper’s thought as a whole and shows the profound enlightenment he experienced reading not only Parmenides but the wider world of Greek science and philosophy including Xenophanes and Heraclitus. Edited by Arne F. Petersen, Associate Professor in the Faculty of Humanities, University of Copenhagen. (shrink)

Introduction: optimist, pessimist, and pragmatist views of scientific knowledge (1963) -- Memories of Austria -- Lectures from New Zealand -- On The open society -- The Cold War and after.