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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.
Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities.
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. But while social constructivism focuses on cognition, social constructionism focuses on the making of social reality.
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 in education is a theory that suggests that learners do not passively acquire knowledge through direct instruction. Instead, they construct their understanding through experiences and social interaction, integrating new information with their existing knowledge. This theory originates from 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.
Sal Restivo is a sociologist/anthropologist.
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.
Human science studies the philosophical, biological, social, justice, 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.Underlying human science is the relationship between various humanistic modes of inquiry within fields such as history, sociology, folkloristics, anthropology, and economics and advances in such things as genetics, evolutionary biology, and the social sciences for the purpose of understanding our lives in a rapidly changing world. Its use of an empirical methodology that encompasses psychological experience in contrasts with the purely positivistic approach typical of the natural sciences which exceeds all methods not based solely on sensory observations. Modern approaches in the human sciences integrate an understanding of human structure, function on and adaptation with a broader exploration of what it means to be human. The term is also used to distinguish not only the content of a field of study from that of the natural science, but also its methodology.
James Franklin is an Australian philosopher, mathematician and historian of ideas.
Anthony Cedric Graham Hill, also known as Achill Redo, was an English artist, painter, relief-maker, and mathematician, 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 by internationally recognized and beginning researchers, 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".
Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics as beautiful or describe mathematics as an art form, or, at a minimum, as a creative activity.
Gabriel Stolzenberg was an American mathematician who taught at various academic institutions.
References
- ↑ "Paul Ernest | School of Education | University of Exeter". education.exeter.ac.uk. 2023. Retrieved 2023-08-14.
