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Temporal Direction, Intuitionism and Physics.
1Department of Philosophy, Bar Ilan University, Ramat Gan 5290002, Israel.
This study argues that intuitionistic mathematics, proposed for incorporating time and an open future into physics, does not resolve the tenseless nature of physics. The task of understanding tensed time belongs to phenomenology, not physics.
Area of Science:
- Philosophy of Physics
- Foundations of Mathematics
- Phenomenology
Background:
- Classical physics, based on classical mathematics, is considered tenseless and deterministic, potentially conflicting with lived experience.
- Nicolas Gisin proposed using intuitionistic mathematics to incorporate rich temporality, including passage, tense, and an open future, into physics.
- This approach aims to represent the indeterminate nature of reality more accurately.
Purpose of the Study:
- To evaluate Gisin's proposal of using intuitionistic mathematics to introduce temporality into physics.
- To determine if intuitionistic mathematics can successfully render physics tensed and account for an open future.
- To clarify the role of mathematics and phenomenology in understanding tensed time.
Main Methods:
- Critical analysis of Gisin's proposal regarding intuitionistic mathematics and its application to physics.
- Examination of the mathematical properties of intuitionistic mathematics concerning temporality.
- Philosophical argumentation on the nature of time, tense, and determinism in physics.
Main Results:
- Intuitionistic mathematics, despite its temporal attunements, is found to be as tenseless as classical mathematics.
- Physics remains inherently tenseless regardless of the mathematical framework employed.
- The study concludes that intuitionistic mathematics does not enable physics to represent a tensed reality or an open future.
Conclusions:
- Gisin's proposal to use intuitionistic mathematics for a tensed physics is deemed ineffective.
- Physics is fundamentally tenseless, irrespective of the mathematical formalism used.
- The study of tensed time and its implications for experience is a domain for phenomenology, not physics.

