No Choice, No History
Abstract This paper investigates histories in Branching Space–Time (BST) structures. We start by identifying necessary and sufficient conditions for the existence of free histories, and then we turn to the intangibility problem, and we show that the existence of histories in BST structures is equivalent to the axiom of choice, yielding the punchline “history gives us choice”.
Authors
- Zalán Gyenis (ORCID: https://orcid.org/0000-0003-2058-1255)
- Tomasz Placek (ORCID: https://orcid.org/0000-0002-8566-7749)
Institutions
- Jagiellonian University (PL)
Publication Details
- Journal
- Studia Logica
- Published
- 2025-11-24
- DOI
- https://doi.org/10.1007/s11225-025-10216-7
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Narodowa Agencja Wymiany Akademickiej
- National Research, Development and Innovation Office