Gestures, Peirce, and the French philosophy of mathematics
The idea of ‘gesture’ is present in the philosophical world in various forms. All of them might find an important theoretical grounding in pragmatist philosophy, if we combine pragmatism with some French philosophies of mathematics and read it as a way out of the Kantian philosophy of representation...
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| Format: | Article |
| Language: | deu |
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Milano University Press
2019-01-01
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| Series: | Lebenswelt: Aesthetics and Philosophy of Experience |
| Online Access: | https://riviste.unimi.it/index.php/Lebenswelt/article/view/11109 |
| _version_ | 1797285784110235648 |
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| author | Giovanni Maddalena |
| author_facet | Giovanni Maddalena |
| author_sort | Giovanni Maddalena |
| collection | DOAJ |
| description | The idea of ‘gesture’ is present in the philosophical world in various forms. All of them might find an important theoretical grounding in pragmatist philosophy, if we combine pragmatism with some French philosophies of mathematics and read it as a way out of the Kantian philosophy of representation. The paper uses the insights of Jean Cavaillès (1903-1944) to set out the problem of the weakness of the epistemic Kantian defense of mathematical and logical thought. Cavaillès rejected the possible amendments to Kant’s explanation provided by both Husserl and Bolzano and their heirs. He used the word ‘gesture’ in order to explain the activity of mathematicians who have to act synthetically, following rules, with some physical representation, and being aware of the possibility of failure. Cavaillès conceived the use of gesture as an alternative to the Heidegerian idea of event defended by Albert Lautman. The paper then follows the idea of gesture in the French philosophy of mathematics of Gilles Châtelet and Giuseppe Longo. Finally, the paper illustrates how Peirce’s study of Existential Graphs and the main insights of pragmatism complete Cavaillès’s idea by giving to gestures a phenomenological and semiotic structure. The pragmatist philosophy of gesture is thus a new way of overthrowing Kant’s philosophy of representation without surrendering to irrationalism. |
| first_indexed | 2024-03-07T18:07:17Z |
| format | Article |
| id | doaj.art-2952c5d7808e45eb8eeff484ac770dc5 |
| institution | Directory Open Access Journal |
| issn | 2240-9599 |
| language | deu |
| last_indexed | 2024-03-07T18:07:17Z |
| publishDate | 2019-01-01 |
| publisher | Milano University Press |
| record_format | Article |
| series | Lebenswelt: Aesthetics and Philosophy of Experience |
| spelling | doaj.art-2952c5d7808e45eb8eeff484ac770dc52024-03-02T08:16:54ZdeuMilano University PressLebenswelt: Aesthetics and Philosophy of Experience2240-95992019-01-0101310.13130/2240-9599/111099458Gestures, Peirce, and the French philosophy of mathematicsGiovanni MaddalenaThe idea of ‘gesture’ is present in the philosophical world in various forms. All of them might find an important theoretical grounding in pragmatist philosophy, if we combine pragmatism with some French philosophies of mathematics and read it as a way out of the Kantian philosophy of representation. The paper uses the insights of Jean Cavaillès (1903-1944) to set out the problem of the weakness of the epistemic Kantian defense of mathematical and logical thought. Cavaillès rejected the possible amendments to Kant’s explanation provided by both Husserl and Bolzano and their heirs. He used the word ‘gesture’ in order to explain the activity of mathematicians who have to act synthetically, following rules, with some physical representation, and being aware of the possibility of failure. Cavaillès conceived the use of gesture as an alternative to the Heidegerian idea of event defended by Albert Lautman. The paper then follows the idea of gesture in the French philosophy of mathematics of Gilles Châtelet and Giuseppe Longo. Finally, the paper illustrates how Peirce’s study of Existential Graphs and the main insights of pragmatism complete Cavaillès’s idea by giving to gestures a phenomenological and semiotic structure. The pragmatist philosophy of gesture is thus a new way of overthrowing Kant’s philosophy of representation without surrendering to irrationalism.https://riviste.unimi.it/index.php/Lebenswelt/article/view/11109 |
| spellingShingle | Giovanni Maddalena Gestures, Peirce, and the French philosophy of mathematics Lebenswelt: Aesthetics and Philosophy of Experience |
| title | Gestures, Peirce, and the French philosophy of mathematics |
| title_full | Gestures, Peirce, and the French philosophy of mathematics |
| title_fullStr | Gestures, Peirce, and the French philosophy of mathematics |
| title_full_unstemmed | Gestures, Peirce, and the French philosophy of mathematics |
| title_short | Gestures, Peirce, and the French philosophy of mathematics |
| title_sort | gestures peirce and the french philosophy of mathematics |
| url | https://riviste.unimi.it/index.php/Lebenswelt/article/view/11109 |
| work_keys_str_mv | AT giovannimaddalena gesturespeirceandthefrenchphilosophyofmathematics |