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
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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
João Príncipe;
(2014)
Henri Poincaré: The Status of Mechanical Explanations and the Foundations of Statistical Mechanics
(/isis/citation/CBB035763250/)
Chapter
Robert DiSalle;
(2014)
Poincaré on the Construction of Space-Time
(/isis/citation/CBB279934786/)
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?
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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/)
Book
María de Paz;
Robert DiSalle;
(2014)
Poincaré, Philosopher of Science: Problems and Perspectives
(/isis/citation/CBB926312391/)
Book
Hawkins, Thomas;
(2000)
Emergence of the theory of Lie groups: An essay in the history of mathematics, 1869-1926
(/isis/citation/CBB000110932/)
Chapter
María Paz;
(2014)
The Third Way Epistemology: A Re-characterization of Poincaré’s Conventionalism
(/isis/citation/CBB858791402/)
Chapter
Reinhard Kahle;
(2014)
Poincaré in Göttingen
(/isis/citation/CBB935280110/)
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/)
Essay Review
Mormann, Thomas;
(2012)
The Vicissitudes of Mathematical Reason in the 20th Century
(/isis/citation/CBB001566765/)
Book
Christian Gerini;
Jean-Marc Ginoux;
(2013)
Henri Poincaré: A Biography Through the Daily Papers
(/isis/citation/CBB354216167/)
Article
Ullrich, Peter;
(2000)
The Poincaré-Volterra Theorem: From Hyperelliptic Integrals to Manifolds with Countable Topology
(/isis/citation/CBB000740287/)
Article
Yan, Chen-guang;
Deng, Ming-li;
(2009)
Riemann's Idea of Geometry and its Impact on the Theory of Relativity
(/isis/citation/CBB000952285/)
Article
Craig Fraser;
Michiyo Nakane;
(2023)
Canonical transformations from Jacobi to Whittaker
(/isis/citation/CBB563006808/)
Article
Lizhen Ji;
Chang Wang;
(2022)
Poincaré’s works leading to the Poincaré conjecture
(/isis/citation/CBB001593509/)
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