On effective dualities
Bibliographic Data
| ID | 10811751 |
|---|---|
| Authors | Floris Diederik Johannes Eskens (0009-0006-4082-5252, Australian Catholic University, corresponding author) |
| Year | 2025 |
| Volume | 206 |
| Issue | 3 |
| Publication date | 2025-09-10 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Synthese (JOURNAL) |
| Journal identifiers | ISSN: 0039-7857 • E-ISSN: 1573-0964 |
| Publisher | Springer Science and Business Media LLC (PUBLISHER) |
| DOI | 10.1007/s11229-025-05185-2 |
| OpenAlex | W4414094286 |
| Language | EN |
| References cited | 50 |
In this paper, we will develop a novel philosophical account of effective dualities. Building on De Haro and Butterfield’s schema for duality, we will present our notion of effective duality using the concepts of an approximate isomorphism and a limiting operation. We define these concepts on the space of models by adopting the similarity space approach to analysing intertheoretic concepts developed in Fletcher (forthcoming). In doing so, we will discuss the notion of mathematical structure, and discuss the properties of this notion of effective duality. From our account of effective dualities we will see that there emerges a typology of effective dualities. We will present and discuss this typology. Next, we will present two case studies of effective dualities to illustrate how our framework can be used to find effective dualities: (1) the effective duality between high-energy quantum field theories and effective field theories, and (2) the effective duality between finite information quantity classical mechanics and $$\mathbb{R}$$ classical mechanics. Finally, we will discuss what the heuristic function of effective dualities is, and compare it to the heuristic function of approximate dualities as outlined in De Haro (2017, 2019a)
Duality (order theory) · Field (mathematics) · Function (biology) · Heuristic · Philosophy of language · Schema (genetic algorithms) · Space (punctuation) · Advanced Operator Algebra Research · Advanced Topology and Set Theory · Mathematical and Theoretical Analysis
The Logic in Philosophy of Science
The Structure of Science
Less is Different
Emergence, Reduction and Supervenience
Who’s Afraid of Nagelian Reduction?
The Empirical Under-Determination Argument Against Scientific Realism for Dual Theories
Emergence in holographic scenarios for gravity
Dualities and emergent gravity
Dualities of fields and strings
The heuristic function of duality
Supersymmetry in the Seiberg–Witten theory
Theoretical equivalence and duality
On symmetry and duality
Indeterminism in physics and intuitionistic mathematics
Correspondence, invariance and heuristics
Approaches to Reduction
What Scientific Theories Could Not Be
Equivalent and Inequivalent Formulations of Classical Mechanics
| Citation velocity | historical |
|---|---|
| Highly cited | No |