Henri Poincaré and Hermann Weyl are two of the mathematicians in the period from the 1890s to the 1930s who thought most deeply about the philosophy of mathematics and the relationship of mathematics to philosophy. They were also, as is well known, two of the most gifted mathematicians of their time who worked creatively in the fields of both mathematics and mathematical physics. This led them to deep, and conflicting, reflections on several topics that are discussed in this essay.
...MoreBook David E. Rowe; Wann-Sheng Horng (2015) A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben.
Article
Lizhen Ji;
Chang Wang;
(2020)
Poincaré’s stated motivations for topology
(/isis/citation/CBB272091949/)
Chapter
Scholz, Erhard;
(2006)
Practice-Related Symbolic Realism in H. Weyl's Mature View of Mathematical Knowledge
(/isis/citation/CBB000800126/)
Chapter
Folina, Janet;
(2006)
Poincaré's Circularity Arguments for Mathematical Intuition
(/isis/citation/CBB000741574/)
Chapter
Janet Folina;
(2014)
Poincaré and the Invention of Convention
(/isis/citation/CBB627819901/)
Chapter
Antonio A. P. Videira;
(2014)
Poincaré, Indifferent Hypotheses and Metaphysics
(/isis/citation/CBB846876938/)
Book
María de Paz;
Robert DiSalle;
(2014)
Poincaré, Philosopher of Science: Problems and Perspectives
(/isis/citation/CBB926312391/)
Chapter
Gerhard Heinzmann;
(2014)
Does the French Connection (Poincaré, Lautman) Provide Some Insights Facing the Thesis That Meta-mathematics Is an Exception to the Slogan That Mathematics Concerns Structures?
(/isis/citation/CBB713441109/)
Chapter
Isabel Serra;
(2014)
Henri Poincaré: A Scientist Inspired by His Philosophy
(/isis/citation/CBB874804009/)
Chapter
Augusto J. Franco Oliveira;
(2014)
Poincaré and the Principles of the Calculus
(/isis/citation/CBB092613565/)
Chapter
Reinhard Kahle;
(2014)
Poincaré in Göttingen
(/isis/citation/CBB935280110/)
Chapter
María Paz;
(2014)
The Third Way Epistemology: A Re-characterization of Poincaré’s Conventionalism
(/isis/citation/CBB858791402/)
Chapter
Robert DiSalle;
(2014)
Poincaré on the Construction of Space-Time
(/isis/citation/CBB279934786/)
Chapter
João Príncipe;
(2014)
Henri Poincaré: The Status of Mechanical Explanations and the Foundations of Statistical Mechanics
(/isis/citation/CBB035763250/)
Book
Hawkins, Thomas;
(2000)
Emergence of the theory of Lie groups: An essay in the history of mathematics, 1869-1926
(/isis/citation/CBB000110932/)
Book
Corry, Leo;
(2004)
David Hilbert and the Axiomatization of Physics (1898-1918): From Grundlagen der Geometrie to Grundlagen der Physik
(/isis/citation/CBB000550055/)
Essay Review
Mormann, Thomas;
(2012)
The Vicissitudes of Mathematical Reason in the 20th Century
(/isis/citation/CBB001566765/)
Book
Poincaré, Henri;
Mittag-Leffler, Gösta;
(1999)
Correspondance entre Henri Poincaré et Gösta Mittag-Leffler: Avec en annexes les lettres échangées par Poincaré avec Fredholm, Gyldén et Phragmén
(/isis/citation/CBB000631019/)
Book
Gray, Jeremy;
(2008)
Plato's Ghost: The Modernist Transformation of Mathematics
(/isis/citation/CBB000950298/)
Article
Muntersbjorn, Madeline;
(2012)
On the Intellectual Heritage of Henri Poincaré
(/isis/citation/CBB001210329/)
Article
Craig Fraser;
Michiyo Nakane;
(2023)
Canonical transformations from Jacobi to Whittaker
(/isis/citation/CBB563006808/)
Be the first to comment!