Are Science And Mathematics Socially Constructed A Mathematician Encounters Postmodern Interpretations Of Science

This book is a history, analysis, and criticism of what the author calls OC postmodern interpretations of scienceOCO (PIS) and the closely related OC sociology of scientific knowledgeOCO (SSK). This movement traces its origin to Thomas Kuhn''s revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a OC social constructionOCO, having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex.

This book is a history, analysis, and criticism of what the author calls “postmodern interpretations of science” (PIS) and the closely related “sociology of scientific knowledge” (SSK). This movement traces its origin to Thomas Kuhn's revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a “social construction”, having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex.Since the 1970s, PIS has become fashionable in the humanities, social sciences, and ethnic or women's studies, as well as in the new academic discipline of Science, Technology, and Society (STS). It has been attacked by numerous authors and the resulting conflicts led to the so-called Science Wars of the 1990s. While the present book is also critical of PIS, it focuses on its intellectual and political origins and tries to understand why it became influential in the 1970s. The book is both an intellectual and a political history. It examines the thoughts of Karl Popper, Karl Mannheim, Ludwik Fleck, Thomas Kuhn, Paul Feyerabend, David Bloor, Steve Woolgar, Steve Shapin, Bruno Latour, and PIS-like doctrines in mathematics. It also describes various philosophical contributions to PIS ranging from the Greek sophists to 20th century post-structuralists and argues that the disturbed political atmosphere of the Vietnam War era was critical to the rise of PIS.

Historically, the scientific method has been said to require proposing a theory, making a prediction of something not already known, testing the prediction, and giving up the theory (or substantially changing it) if it fails the test. A theory that leads to several successful predictions is more likely to be accepted than one that only explains what is already known but not understood. This process is widely treated as the conventional method of achieving scientific progress, and was used throughout the twentieth century as the standard route to discovery and experimentation. But does science really work this way? In Making 20th Century Science, Stephen G. Brush discusses this question, as it relates to the development of science throughout the last century. Answering this question requires both a philosophically and historically scientific approach, and Brush blends the two in order to take a close look at how scientific methodology has developed. Several cases from the history of modern physical and biological science are examined, including Mendeleev's Periodic Law, Kekule's structure for benzene, the light-quantum hypothesis, quantum mechanics, chromosome theory, and natural selection. In general it is found that theories are accepted for a combination of successful predictions and better explanations of old facts. Making 20th Century Science is a large-scale historical look at the implementation of the scientific method, and how scientific theories come to be accepted.

Is the objective that the European Union set itself in 2000, that is, to be «the most competitive knowledge-based society and economy» by 2010 still realistic? The momentous year has arrived, but it is discouraging to note that very few steps have been made in the direction that was fixed. What has gone wrong? Were the philosophical, epistemological and economic conditions adequate to achieve the desired result? This book – the result of a research project commissioned by the European Commission – critically investigates the society of knowledge and the way in which the European Union has proceeded towards it, examining first of all the premises and the contributions that the disciplines of Science and Technological Studies can provide. In this way, we have proposed innovative theoretical and epistemological bases for a multidisciplinary approach – making use of the Modelling Approach to Science – and therefore insisting on the function that human sciences can have for a society of knowledge that hinges not so much on an industrialist scenario, but a humanist one that eschews hyper-specialization and instead privileges creativity, flexibility, imagination and innovation economy.

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*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

This book approaches big data, artificial intelligence, machine learning, and business intelligence through the lens of Data Science. We have grown accustomed to seeing these terms mentioned time and time again in the mainstream media. However, our understanding of what they actually mean often remains limited. This book provides a general overview of the terms and approaches used broadly in data science, and provides detailed information on the underlying theories, models, and application scenarios. Divided into three main parts, it addresses what data science is; how and where it is used; and how it can be implemented using modern open source software. The book offers an essential guide to modern data science for all students, practitioners, developers and managers seeking a deeper understanding of how various aspects of data science work, and of how they can be employed to gain a competitive advantage.

Paul Thagard uses new accounts of brain mechanisms and social interactions to forge theories of mind, knowledge, reality, morality, justice, meaning, and the arts. Natural Philosophy brings new methods for analyzing concepts, understanding values, and achieving coherence. It shows how to unify the humanities with the cognitive and social sciences. How can people know what is real and strive to make the world better? Philosophy is the attempt to answer general questions about the nature of knowledge, reality, and values. Natural Philosophy pursues these questions by drawing heavily on the sciences and finds no room for supernatural entities such as souls, gods, and possible worlds. It provides original accounts of the traditional branches of philosophy, including epistemology, metaphysics, ethics, and aesthetics. Rather than reducing the humanities to the sciences, this book displays fertile interconnections that show that philosophical questions and artistic practices can be much better understood by considering how human brains operate and interact in social contexts. The sciences and the humanities are interdependent, because both the natural and social sciences cannot avoid questions about methods and values that are primarily the province of philosophy. This book belongs to a trio that includes Brain-Mind: From Neurons to Consciousness and Creativity and Mind-Society: From Brains to Social Sciences and Professions. They can be read independently, but together they make up a Treatise on Mind and Society that provides a unified and comprehensive treatment of the cognitive sciences, social sciences, professions, and humanities.