This paper argues that Frege's notoriously long commitment to Kant's thesis that Euclidean geometry is synthetic _a priori_ is best explained by realizing that Frege uses ‘intuition’ in two senses. Frege sometimes adopts the usage presented in Hermann Helmholtz's sign theory of perception. However, when using ‘intuition’ to denote the source of geometric knowledge, he is appealing to Hermann Cohen's use of Kantian terminology. We will see that Cohen reinterpreted Kantian notions, stripping them of any psychological connotation. Cohen's defense of his modified Kantian thesis on the unique status of the Euclidean axioms presents Frege's own views in a much more favorable light
On the background of explaining their different notions of analyticity, their different views on def...
This study examines the place of Hermann von Helmholtz´s seminal papers on geometry in his philosoph...
The crucial role played by intuition in Kant’s theory of geometry has been widely discussed. Largely...
This paper argues that Frege's notoriously long commitment to Kant's thesis that Euclidean geometry ...
Kant's arguments for the synthetic a priori status of geometry are generally taken to have...
Gottlob Frege abandoned his logicist program after Bertrand Russell had discovered that some assumpt...
I investigate the role of geometric intuition in Frege’s early math-ematical works and the significa...
Gottlob Frege criticized Kant's use of the term "representation" in a footnote in the Foundations of...
With the development of non-Euclidean geometries in the nineteenth century, the concern arose as to ...
The idea that formal geometry derives from intuitive notions of space has appeared in many guises, m...
In this paper I argue that the two-dimensional character of Frege’s Begriffsschrift plays an epistem...
In this paper I develop a reading of Kant\u27s argument from geometry based on distinguishing the ro...
On the background of explaining their different notions of analyticity, their different views on def...
This study examines the place of Hermann von Helmholtz´s seminal papers on geometry in his philosoph...
The crucial role played by intuition in Kant’s theory of geometry has been widely discussed. Largely...
This paper argues that Frege's notoriously long commitment to Kant's thesis that Euclidean geometry ...
Kant's arguments for the synthetic a priori status of geometry are generally taken to have...
Gottlob Frege abandoned his logicist program after Bertrand Russell had discovered that some assumpt...
I investigate the role of geometric intuition in Frege’s early math-ematical works and the significa...
Gottlob Frege criticized Kant's use of the term "representation" in a footnote in the Foundations of...
With the development of non-Euclidean geometries in the nineteenth century, the concern arose as to ...
The idea that formal geometry derives from intuitive notions of space has appeared in many guises, m...
In this paper I argue that the two-dimensional character of Frege’s Begriffsschrift plays an epistem...
In this paper I develop a reading of Kant\u27s argument from geometry based on distinguishing the ro...
On the background of explaining their different notions of analyticity, their different views on def...
This study examines the place of Hermann von Helmholtz´s seminal papers on geometry in his philosoph...
The crucial role played by intuition in Kant’s theory of geometry has been widely discussed. Largely...