Ferreirós, José (Author)
Princeton University Press
Publication date: 2015
Language: English
Physical Details: 360
This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results.Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreirós demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty.Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.
...MoreReview Audrey Yap (2017) Review of "Mathematical Knowledge and the Interplay of Practices". Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science (pp. 249-250).
Review Roy Wagner (2018) Review of "Mathematical Knowledge and the Interplay of Practices". British Journal for the History of Mathematics (pp. 141-143).
Similar Citations
Article
Echelbarger, Charles;
(2013)
Hume on the Objects of Mathematics
Article
Epple, Moritz;
(2011)
Between Timelessness and Historiality: On the Dynamics of the Epistemic Objects of Mathematics
Book
Carl Posy;
Yemima Ben-Menahem;
(2023)
Mathematical Knowledge, Objects and Applications: Essays in Memory of Mark Steiner
Article
Lassègue, Jean;
(2003)
La genèse des concepts mathématiques
Book
Kjeldsen, Tinne Hoff;
Pedersen, Stig Andur;
Sonne-Hansen, Lise Mariane;
(2004)
New Trends in the History and Philosophy of Mathematics
Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
Article
Ladislav Kvasz;
(2020)
Cognitive Unity of Thales’ Mathematics
Book
Grabiner, Judith V.;
(2010)
A Historian Looks Back: The Calculus as Algebra and Selected Writings
Chapter
Jeremy Gray;
(2015)
Henri Poincaré and Hermann Weyl on the Foundations of Mathematics
Book
Jairo José da Silva;
(2018)
Mathematics and Its Applications: A Transcendental-Idealist Perspective
Book
Justin Humphreys;
(2023)
The Invention of Imagination: Aristotle, Geometry, and the Theory of the Psyche
Book
Legay, Jean-Marie;
(1997)
L'Expérience et le modèle
Book
Omnès, Roland;
(2005)
Converging Realities: Toward a Common Philosophy of Physics and Mathematics
Book
Cirino, Raffaele;
(2006)
Dal movimento alla forza: Leibniz, l'infinitesimo tra logica e metafisica
Book
Latour, Bruno;
(2010)
On the Cult of the Factish Gods
Book
Paola Cantù;
Georg Schiemer;
(2023)
Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle
Book
Alma Steingart;
(2023)
Axiomatics: Mathematical Thought and High Modernism
Book
Sergio, Emilio;
(2006)
Verità matematiche e forme della natura da Galileo a Newton
Book
Romano Gatto;
(2010)
Libri di matematica a Napoli nel Settecento. Editoria, fortuna e diffusione delle opere
Article
Eberhardt, Frederick;
(2011)
Reliability via Synthetic a priori: Reichenbach's Doctoral Thesis on Probability
Be the first to comment!