Danielle Monique Macbeth (born 1954, Edmonton) is a Canadian philosopher whose work focuses on the philosophy of mathematics, the philosophy of language, metaphysics, and the philosophy of logic. She is T. Wistar Brown Professor of Philosophy at Haverford College in Pennsylvania where she has taught since 1989. Macbeth also taught at the University of Hawaii from 1986–1989.
Macbeth received a Bachelor of Science degree in Biochemistry at the University of Alberta in 1977 before beginning her philosophical studies. She then went on to receive a Bachelor of Arts degree in Philosophy and Religious Studies at McGill University in Montreal in 1980 and received her PhD from University of Pittsburgh in 1988. She wrote her dissertation under John Haugeland, and studied also with Wilfrid Sellars, John McDowell, and Robert Brandom. Macbeth has received numerous awards and fellowships including NEH Grants, and an ACLS Frederick Burkhardt Residential Fellowship. In 2002-2003, she was a Fellow at the Center for Advanced Study in Behavioral Sciences in Palo Alto, California. [1]
Macbeth is the author of two books, Frege’s Logic (2005) and Realizing Reason: A Narrative of Truth and Knowing (2014).
In Frege's Logic (2005), Macbeth proposes a new reading of Frege’s notation and logical project. Rather than treating Begriffsschrift (Frege's logic) as a notational variant of quantificational logic, Macbeth proposes that reasoning in Begriffsschrift is more like the diagrammatic reasoning of the geometrician or algebraist. She argues that philosophers and mathematicians alike have failed to recognize the revolutionary powers of Begriffsschrift in its expressive and demonstrative capacities. [2]
Realizing Reason, her most recent book, takes a Hegelian approach to the philosophy of mathematics and traces developments in philosophy, logic, mathematics, and physics beginning with Aristotle in order to illuminate how (pure) reason has come to be realized as a power of knowing. She focuses on three periods: Ancient Greece, early modern mathematics, physics, and philosophy (Descartes to Kant), and late nineteenth-century and early twentieth-century mathematics and physics. Macbeth argues that with her new reading of Frege, we can finally break out of the Kantian framework that remains in place even in twentieth-century analytic philosophy and thereby finally understand how contemporary mathematics enables real extensions of our knowledge on the basis of strictly deductive reasoning. Thus, she demonstrates how pure reason has finally been realized as a power of knowing. [3]
Macbeth has also published many articles on a wide range of topics in the history and philosophy of mathematics, the philosophy of language, the philosophy of mind, and pragmatism.
Edmund Gustav Albrecht Husserl was an Austrian-German philosopher and mathematician who established the school of phenomenology.
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Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities.
Friedrich Ludwig Gottlob Frege was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever.
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Patricia A. Blanchette is an American philosopher and logician, the McMahon-Hank Professor of Philosophy at the University of Notre Dame. She specializes in the history of philosophy, history of logic, philosophy of logic, philosophy of mathematics, and philosophy of science, and is the author of a book on the logic of Gottlob Frege.