Article ID: CBB221284966

Frege on intuition and objecthood in projective geometry (2021)

unapi

In recent years, several scholars have been investigating Frege’s mathematical background, especially in geometry, in order to put his general views on mathematics and logic into proper perspective. In this article I want to continue this line of research and study Frege’s views on geometry in their own right by focussing on his views on a field which occupied center stage in nineteenth century geometry, namely, projective geometry.

...More
Citation URI
http://data.isiscb.org/isis/citation/CBB221284966/

Similar Citations

Article Belna, Jean Pierre; (2002)
Frege et la géométrie projective: la Dissertation inaugurale de 1873 (/isis/citation/CBB000770938/)

Book Gandon, Sébastien; (2012)
Russell's Unknown Logicism: A Study in the History and Philosophy of Mathematics (/isis/citation/CBB001201203/)

Book Ricketts, Tom; Potter, Michael D.; (2010)
The Cambridge Companion to Frege (/isis/citation/CBB001211647/)

Thesis David E. Dunning; (2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937 (/isis/citation/CBB517005733/)

Article Reck, Erich H.; (2013)
Frege, Dedekind, and the Origins of Logicism (/isis/citation/CBB001212886/)

Article Maria Alessandra Vaccaro; (2020)
Historical Origins of the Nine-Point Conic. the Contribution of Eugenio Beltrami (/isis/citation/CBB706274093/)

Book Weiner, Joan; (2004)
Frege Explained: From Arithmetic to Analytic Philosophy (/isis/citation/CBB000772767/)

Article Angelelli, Ignacio; (2012)
Frege's Ancestral and Its Circularities (/isis/citation/CBB001214121/)

Article Belna, Jean-Pierre; (2006)
Objectivité et principe de dualité: Le paragraphe 26 des Fondements de l'arithmétique de Frege (/isis/citation/CBB000770988/)

Article Schirn, Matthias; (2010)
On Translating Frege's Die Grundlagen der Arithmetik (/isis/citation/CBB001210971/)

Article Moretti, Alessio; (2014)
Was Lewis Carroll an Amazing Oppositional Geometer? (/isis/citation/CBB001550610/)

Book Flood, Raymond; Rice, Adrian; Wilson, Robin; (2011)
Mathematics in Victorian Britain (/isis/citation/CBB001221196/)

Article Novy, Luboš; (2008)
Les relations entre la logique et la mathématique dans l'oeuvre de Bernard Bolzano (/isis/citation/CBB001021148/)

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

Book Elena Anne Corie Marchisotto; Francisco Rodriguez-Consuegra; James T. Smith; (2021)
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics (/isis/citation/CBB763111584/)

Article Sakarovitch, Joël; (2007)
Géométrie descriptive et expérimentations constructives (/isis/citation/CBB000850302/)

Article John Woods; (2021)
What did Frege take Russell to have proved? (/isis/citation/CBB858610340/)

Authors & Contributors
Belna, Jean-Pierre
Weiner, Joan
Sakarovitch, Joël
Nový, Luboš
Gandon, Sébastien
Künne, Wolfgang
Journals
Revue d'Histoire des Sciences
History and Philosophy of Logic
Archives Internationales d'Histoire des Sciences
Logica Universalis
Historia Mathematica
Synthese
Publishers
Open Court
Palgrave Macmillan
Vittorio Klostermann
Cambridge University Press
Oxford University Press
University of Pittsburgh
Concepts
Mathematics
Logic
Geometry
Philosophy of mathematics
Projective geometry
Philosophy
People
Frege, Gottlob
Russell, Bertrand Arthur William
Bolzano, Bernard
Dedekind, Richard
Carroll, Lewis
Couturat, Louis
Time Periods
19th century
20th century, early
20th century, late
20th century
Places
Germany
Great Britain
France
North America
Europe
Italy
Comments

Be the first to comment!

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

Log in or register to comment