On Physical Mathematics
Starting from Greg Moore’s description of Physical Mathematics, a framework is proposed in order to understand it, based on Gilles Châtelet’s philosophy. It will be argued that Châtelet’s ideas of inverting, splitting, augmenting, and virtuality are crucial in the discussion about the nature of Phys...
Enregistré dans:
| 發表在: | URI:https://journals.openedition.org/ejpap, |
|---|---|
| 主要作者: | |
| 格式: | Article ou chapitre numérique |
| 語言: | Anglais |
| 出版: |
European Journal of Pragmatism and American Philosophy
2026
|
| 主題: | |
| 在線閱讀: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| 總結: | Starting from Greg Moore’s description of Physical Mathematics, a framework is proposed in order to understand it, based on Gilles Châtelet’s philosophy. It will be argued that Châtelet’s ideas of inverting, splitting, augmenting, and virtuality are crucial in the discussion about the nature of Physical Mathematics. Along this line, it will be proposed that mirror symmetry is a natural case study to test Châtelet’s ideas in this context. This should be considered as a first step in a long-term project aiming to study the relations among mathematics, physics, and philosophy in the construction of a global understanding of the structure of the universe. This was envisioned by Grothendieck in the late 80s of the last century, and it was started to be developed independently by Châtelet at the beginning of the 90s. The main suggestion of the essay is that it is in the relations between mathematics, physics, and philosophy that new knowledge arises. |
|---|