Towards Pragmatist Thermodynamics: An Essay on the Natural Philosophy of Entropy and Sustainability
Abstract
1. Introduction
2. Peirce and the Origins of Pragmatist Thermodynamics
2.1. Randomness and Evolution
2.2. Finality
3. The Foundational Pragmatist Move: From Systems to Assemblages
3.1. The Many Meanings of Entropy
- The first concept is the extension of OET, which focuses on the processes of entropy production beyond isolated systems. A key reference in this area is the work of Prigogine and his colleagues on dissipative structures in closed systems [51]. Dissipative structures are still viewed as single systems that reach a certain end state defined by minimum entropy production. However, more recently, various approaches to open and non-linear systems have been proposed, often using the term “maximum entropy production,” which seems to create tension with earlier perspectives [52].
- The second significant development is the merging of Shannon’s information theory with thermodynamics, for which Boltzmann’s definition of entropy laid the groundwork [53]. This integration has been a crucial driver in the development of a wide variety of mathematical measures of entropy, also incorporating applications of entropy in quantum mechanics. All these approaches are grounded in the fundamental concept of probability.
- The third aspect involves extending concepts beyond physical systems to include chemical and biological systems, particularly in the ecological sciences [7]. These extensions can be divided into two main focuses: we can emphasize mathematical forms of entropy, such as measures of biodiversity [36], or concentrate on the physical processes associated with entropy production [54].
3.2. The Concept of Out-of-Equilibrium Assemblages
3.3. The Three Languages of PT
4. Evolution and Entropy Production in Pragmatist Thermodynamics
4.1. Evolution and the Second Law
4.2. The Centrality of Maximum Power
- Chaisson’s theory [74,75] suggests that there is an increasing intensity of free energy rate per unit mass, a concept that has also been embraced in big history research [76]. The essence of this analysis is that evolutionary trends can be observed even on a cosmological level, which allows for the categorization of distinct entities—such as organisms and human technological devices—on the scale of increasing energy flows through their unit mass. Additionally, there are variations of this analysis that focus on the evolution of human technology, emphasizing the increasing flow of energy through spatial units (power density) [77].
- This research connects to studies that examine evolution within the context of transformations of Planet Earth. These studies reveal specific trends in energy transitions toward greater complexity, increased intensity of dissipation, and innovations in utilizing the potential of inflowing solar energy for growth [71,78]. These perspectives include visions of transforming the planet into a “hybrid” structure [79], in which technological evolution would eventually shift the planet from a closed to an open system, specifically by enabling the export of material waste to outer space [80].
- There are various theories that claim differences among themselves, but they generally share basic principles and propose adding a new thermodynamic law to the established four laws. For example, the “Constructal Law” suggests that flow systems evolve in a direction that maximizes flow throughput by minimizing obstacles to those flows, and has been employed on the evolution of energy systems [81,82].
- On the topic of biological growth, there is a long-standing genealogy of theories suggesting systematic trends toward increasing size and complexity of organisms [83]. This idea is often summarized in the hypothesis that evolution favors the emergence of organisms and their related social units, which compete for the enhanced production of power in the sense of physical work, and embodied capacities to generate work [49,84].
- Finally, there are contributions that link these approaches to the evolution of human technology. This connection is already present in “big history” research, but it is more directly related to evolutionary theory, particularly in the field of evolutionary economics, which builds on the legacy of Georgescu-Roegen [25,85,86].
5. Sustainability and Entropy
6. Conclusions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| CT | Classical thermodynamics |
| OET | Out-of-equilibrium thermodynamics |
| PT | Pragmatist thermodynamics |
| MaxEnt | Maximum Entropy |
| MNET | mesoscopic nonequilibrium thermodynamics |
| MPP | Maximum power principle |
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Herrmann-Pillath, C. Towards Pragmatist Thermodynamics: An Essay on the Natural Philosophy of Entropy and Sustainability. Entropy 2025, 27, 1257. https://doi.org/10.3390/e27121257
Herrmann-Pillath C. Towards Pragmatist Thermodynamics: An Essay on the Natural Philosophy of Entropy and Sustainability. Entropy. 2025; 27(12):1257. https://doi.org/10.3390/e27121257
Chicago/Turabian StyleHerrmann-Pillath, Carsten. 2025. "Towards Pragmatist Thermodynamics: An Essay on the Natural Philosophy of Entropy and Sustainability" Entropy 27, no. 12: 1257. https://doi.org/10.3390/e27121257
APA StyleHerrmann-Pillath, C. (2025). Towards Pragmatist Thermodynamics: An Essay on the Natural Philosophy of Entropy and Sustainability. Entropy, 27(12), 1257. https://doi.org/10.3390/e27121257

