The Institute offers courses and seminars on Lonergan, his principal writings, and subjects that those writings illuminate, such as hermeneutics, political theology, science and religion, Christology, aesthetics, self-knowledge, economics, the Trinity, and the history and philosophy of science and mathematics.
Doctor of Philosophy | philosophy | mathematics | Mathematics | Philosophy | Jewish philosophy | Clay Mathematics Institute | Society for Industrial and Applied Mathematics | Indian philosophy | Chinese philosophy | Islamic philosophy | Indian mathematics | University of Belgrade Faculty of Philosophy | National Council of Teachers of Mathematics | matrix (mathematics) | Concrete Mathematics | Philosophy of mathematics | philosophy of mathematics | Objectivity (philosophy) | Mathematics Subject Classification | Graduate Texts in Mathematics | function (mathematics) | Centre for Education in Mathematics and Computing | Buddhist philosophy | Analytic philosophy | analytic philosophy | Ubuntu (philosophy) | The Journal of Philosophy | school of philosophy | Professor of Mathematics, Glasgow |
Several traditions use the term Social Constructivism: psychology (after Lev Vygotsky), sociology (after Peter Berger and Thomas Luckmann, themselves influenced by Alfred Schütz), sociology of knowledge (David Bloor), sociology of mathematics (Sal Restivo), philosophy of mathematics (Paul Ernest).
Gaifman's recent work include logical systems that formalize aspects of natural reasoning (pointer logic for solving the semantic paradoxes, contextual logic for handling vagueness and the Sorites paradox), phenomena of self-reference, metaphysical realism, philosophy of logic, philosophy of mathematics, Frege, Russell, and the early Wittgenstein.
The rejection of impredicatively defined mathematical objects (while accepting the natural numbers as classically understood) leads to the position in the philosophy of mathematics known as predicativism, advocated by Henri Poincaré and Hermann Weyl in his Das Kontinuum.
This and other evidence led many mathematicians to reject the label of Platonists, along with Plato's ontology—which, along with the methods and epistemology of Aristotle, had served as a foundation ontology for the Western world since its beginnings.
In metaphysics, an Aristotelian realism about universals is defended by such philosophers as David Malet Armstrong and Stephen Mumford, and is applied to the philosophy of mathematics by James Franklin.
He was previously a Research Fellow in Philosophy at the City University of New York, a Seminar Associate at Columbia University, a Junior Research Fellow at Linacre College and a Junior Lecturer in the Philosophy of Mathematics at the University of Oxford.
Benacerraf is perhaps best known for his two papers What Numbers Could Not Be (1965) and Mathematical Truth (1973), and for his highly successful anthology on the philosophy of mathematics, co-edited with Hilary Putnam.
The Philosophy of Mathematics Education Journal is a peer-reviewed open-access academic journal published and edited by Paul Ernest (University of Exeter).