Article ID: CBB001021665

Poincaréan Intuition Revisited: What Can We Learn from Kant and Parsons? (2010)


This paper provides a comprehensive critique of Poincaré's usage of the term intuitionin his defence of the foundations of pure mathematics and science. Kant's notions of sensibilityand a priori formand Parsons's theory of quasi-concrete objects are used to impute rigour into Poincaré's interpretation of intuition. In turn, Poincaré's portrayal of sensible intuition as a special kind of intuition that tolerates the senses and imagination is rejected. In its place, a more harmonized account of how we perceive concrete objects is offered whereby intuitive knowledge is consistently a priori whatever the domain of application.

Citation URI

Similar Citations

Chapter Gerhard Heinzmann; (2016)
Kant et l'intuition épistémique (/isis/citation/CBB981942154/)

Chapter Stoffel, Jean-François; (2003)
L'irréalisable demande blondélienne: Pierre Duhem entre Henri Poincaré et Édouard Le Roy (/isis/citation/CBB000401020/)

Article German A. Duarte; (2017)
"Analysis Situs." A Survey of Spaces en devenir (/isis/citation/CBB765530267/)

Chapter Gray, Jeremy; (2006)
Poincaré---Between Physics and Philosophy (/isis/citation/CBB000741575/)

Article Cassou-Noguès, Pierre; (2006)
Signs, Figures and Time: Cavaillès on “Intuition” in Mathematics (/isis/citation/CBB000933621/)

Article Brenner, Anastasios; (2014)
La réception du logicisme en France en réaction à la controverse Poincaré-Russell (/isis/citation/CBB001551988/)

Article João Príncipe; (2017)
Poincaré and Duhem: Resonances in their First Epistemological Reflections (/isis/citation/CBB416422075/)

Article Nabonnand, Philippe; (2000)
La polémique entre Poincaré et Russell au sujet du statut des axiomes de la géométrie (/isis/citation/CBB000770897/)

Book Poincaré, Henri; Gould, Stephen Jay; (2001)
Value of Science: Essential Writings of Henri Poincaré (/isis/citation/CBB000102174/)

Article Shabel, Lisa; (2003)
Reflections on Kant's Concept (and Intuition) of Space (/isis/citation/CBB000340870/)

Article De Kock, Liesbet; (2014)
Voluntarism in Early Psychology: The Case of Hermann von Helmholtz (/isis/citation/CBB001214429/)

Chapter Tolman, Charles W.; (2001)
Philosophic Doubts About Psychology as a Natural Science (/isis/citation/CBB000102779/)

Thesis Rohloff, Waldemar; (2007)
Kant and Frege on the a priori Applicability of Mathematics (/isis/citation/CBB001561363/)

Article Beiser, Fred; (2008)
Historicism and Neo-Kantianism (/isis/citation/CBB000931161/)

Article Beiser, Frederick; (2003)
Hegel and Naturphilosophie (/isis/citation/CBB000340874/)

Article Edgar, Scott; (2008)
Paul Natorp and the Emergence of Anti-Psychologism in the Nineteenth Century (/isis/citation/CBB000930747/)

Authors & Contributors
De Kock, Liesbet
Boi, Luciano
Gould, Stephen Jay
Poincaré, Henri
Tolman, Charles W.
Shabel, Lisa A.
Studies in History and Philosophy of Science
Revue d'Histoire des Mathématiques
Theoria (0495-4548)
History of Psychology
Revue d'Histoire des Sciences
Modern Library
University of Pittsburgh
University of California, Irvine
Philosophy of mathematics
Philosophy of science
Kant, Immanuel
Poincaré, Jules Henri
Helmholtz, Hermann Ludwig Ferdinand von
Hegel, Georg Wilhelm Friedrich
Le Roy, Edouard
Duhem, Pierre
Time Periods
19th century
20th century, early
18th century

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment