Paul Ernest | |
---|---|
Born | New York City, US |
Nationality | British |
Scientific career | |
Fields | Philosophy of mathematics, Mathematics education |
Institutions | Exeter University |
Doctoral advisor | Moshé Machover |
Paul Ernest is a contributor to the social constructivist philosophy of mathematics.
Paul Ernest is currently emeritus professor of the philosophy of mathematics education at University of Exeter, UK. [1] He is best known for his work on philosophical aspects of mathematics education and his contributions to developing a social constructivist philosophy of mathematics. He is currently working on questions about ethics in mathematics.
Bertrand Arthur William Russell, 3rd Earl Russell, was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science, and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.
Alfred North Whitehead was an English mathematician and philosopher. He created the philosophical school known as process philosophy, which has been applied in a wide variety of disciplines, including ecology, theology, education, physics, biology, economics, and psychology.
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics makes this branch of philosophy broad and unique.
Constructivism may refer to:
Social constructionism is a term used in sociology, social ontology, and communication theory. The term can serve somewhat different functions in each field, however, the foundation of this theoretical framework suggests various facets of social reality—such as concepts, beliefs, norms, and values—are formed through continuous interactions and negotiations among society's members, rather than empirical observation of physical reality. The theory of social constructionism posits that much of what individuals perceive as 'reality' is actually the outcome of a dynamic process of construction influenced by social conventions and structures.
Social constructivism is a sociological theory of knowledge according to which human development is socially situated, and knowledge is constructed through interaction with others. Like social constructionism, social constructivism states that people work together to actively construct artifacts. While social constructivism focuses on the artifacts (constructs) that are created through social interactions, social constructionism focuses on social constructions as active processes, rather than outcomes.
Constructivism is a view in the philosophy of science that maintains that scientific knowledge is constructed by the scientific community, which seeks to measure and construct models of the natural world. According to constructivists, natural science consists of mental constructs that aim to explain sensory experiences and measurements, and that there is no single valid methodology in science but rather a diversity of useful methods. They also hold that the world is independent of human minds, but knowledge of the world is always a human and social construction. Constructivism opposes the philosophy of objectivism, embracing the belief that human beings can come to know the truth about the natural world not mediated by scientific approximations with different degrees of validity and accuracy.
The sociology of scientific knowledge (SSK) is the study of science as a social activity, especially dealing with "the social conditions and effects of science, and with the social structures and processes of scientific activity." The sociology of scientific ignorance (SSI) is complementary to the sociology of scientific knowledge. For comparison, the sociology of knowledge studies the impact of human knowledge and the prevailing ideas on societies and relations between knowledge and the social context within which it arises.
Constructivism is a theory in education which posits that individuals or learners do not acquire knowledge and understanding by passively perceiving it within a direct process of knowledge transmission, rather they construct new understandings and knowledge through experience and social discourse, integrating new information with what they already know. For children, this includes knowledge gained prior to entering school. It is associated with various philosophical positions, particularly in epistemology as well as ontology, politics, and ethics. The origin of the theory is also linked to Swiss developmental psychologist Jean Piaget's theory of cognitive development.
Ernest Nagel was an American philosopher of science. Along with Rudolf Carnap, Hans Reichenbach, and Carl Hempel, he is sometimes seen as one of the major figures of the logical positivist movement. His 1961 book The Structure of Science is considered a foundational work in the logic of scientific explanation.
Sir Richard Hughes Trainor,, is an academic administrator and historian who served as the Principal of King's College London from 2004 to 2014. He was previously the Vice-Chancellor of the University of Greenwich from 2000 to 2004. He is currently Rector (head) of Exeter College, Oxford.
Jean Paul Van Bendegem is a mathematician, a philosopher of science, and a professor at the Vrije Universiteit Brussel in Brussels.
Patrick Colonel Suppes was an American philosopher who made significant contributions to philosophy of science, the theory of measurement, the foundations of quantum mechanics, decision theory, psychology and educational technology. He was the Lucie Stern Professor of Philosophy Emeritus at Stanford University and until January 2010 was the Director of the Education Program for Gifted Youth also at Stanford.
Shaun Gallagher is an American philosopher known for his work on embodied cognition, social cognition, agency and the philosophy of psychopathology. Since 2011 he has held the Lillian and Morrie Moss Chair of Excellence in Philosophy at the University of Memphis and was awarded the Anneliese Maier Research Award by the Humboldt Foundation (2012–2018). Since 2014 he has been Professorial Fellow at the University of Wollongong in Australia. He has held visiting positions at Keble College, Oxford; Humboldt University, Berlin; Ruhr Universität, Bochum; Husserl Archives, ENS (Paris); École Normale Supérieure, Lyon; University of Copenhagen; and the Cognition and Brain Sciences Unit, Cambridge University. He is also known for his philosophical notes on the effects of solitary confinement.
Human science studies the philosophical, biological, social, and cultural aspects of human life. Human science aims to expand the understanding of the human world through a broad interdisciplinary approach. It encompasses a wide range of fields - including history, philosophy, sociology, psychology, justice studies, evolutionary biology, biochemistry, neurosciences, folkloristics, and anthropology. It is the study and interpretation of the experiences, activities, constructs, and artifacts associated with human beings. The study of human sciences attempts to expand and enlighten the human being's knowledge of its existence, its interrelationship with other species and systems, and the development of artifacts to perpetuate the human expression and thought. It is the study of human phenomena. The study of the human experience is historical and current in nature. It requires the evaluation and interpretation of the historic human experience and the analysis of current human activity to gain an understanding of human phenomena and to project the outlines of human evolution. Human science is an objective, informed critique of human existence and how it relates to reality.
James Franklin is an Australian philosopher, mathematician and historian of ideas.
Anthony Hill was an English artist, painter and relief-maker, originally a member of the post-World War II British art movement termed the Constructionist Group whose work was essentially in the international constructivist tradition.
The Philosophy of Mathematics Education Journal is a peer-reviewed open-access academic journal published and edited by Paul Ernest. It publishes articles relevant to the philosophy of mathematics education, a subfield of mathematics education that often draws in issues from the philosophy of mathematics. The journal includes articles, graduate student assignments, theses, and other pertinent resources.
John Joseph Haldane is a British philosopher, commentator and broadcaster. He is a former papal adviser to the Vatican. He is credited with coining the term 'analytical Thomism' and is himself a Thomist in the analytic tradition. Haldane is associated with The Veritas Forum and is the current chair of the Royal Institute of Philosophy.
In psychology, constructivism refers to many schools of thought that, though extraordinarily different in their techniques, are all connected by a common critique of previous standard approaches, and by shared assumptions about the active constructive nature of human knowledge. In particular, the critique is aimed at the "associationist" postulate of empiricism, "by which the mind is conceived as a passive system that gathers its contents from its environment and, through the act of knowing, produces a copy of the order of reality".