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Creative and geometric times in physics, mathematics, logic, and philosophy

Del Santo, Flavio and Gisin, Nicolas (2024) Creative and geometric times in physics, mathematics, logic, and philosophy. [Preprint]

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Abstract

We propose a distinction between two different concepts of time that play a role in physics: geometric time and creative time. The former is the time of deterministic physics and merely parametrizes a given evolution. The latter is instead characterized by real change, i.e. novel information that gets created when a non-necessary event becomes determined in a fundamentally indeterministic physics. This allows us to give a naturalistic characterization of the present as the moment that separates the potential future from the determined past. We discuss how these two concepts find natural applications in classical and intuitionistic mathematics, respectively, and in classical and multivalued tensed logic, as well as how they relate to the well-known A- and B-theories in the philosophy of time.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Del Santo, Flaviodelsantoflavio@gmail.com
Gisin, NicolasNicolas.Gisin@unige.ch0000-0003-0788-3494
Keywords: Philosophy of time, indeterminism, time in physics, logic
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Scientific Metaphysics
General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr. Flavio Del Santo
Date Deposited: 14 Apr 2024 17:10
Last Modified: 14 Apr 2024 17:10
Item ID: 23274
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Scientific Metaphysics
General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Date: 9 April 2024
URI: https://philsci-archive.pitt.edu/id/eprint/23274

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