Objectivism, Naturalism, and the Revision of Quantum Theory.

Vassilios Karakostas

Franklin E. Schroeck

Heng Zhou, Yongjun Wang, Baoshan Wang +2 more

The classical belief revision framework, as proposed by Alchourron, Gardenfors, and Makinson, involves the revision of a theory based on eight postulates. In this paper, we focus on the exploration of a revision theory grounded in quantum mechanics, referred to as the natural revision theory. There are two reasoning modes in quantum systems: static intuitionistic reasoning, which incorporates contextuality, and dynamic reasoning, which is achieved through projection measurement. We combine the advantages of two intuitionistic quantum logic frameworks, as proposed by D{ö}ring and Coecke, respectively. Our goal is to establish a truth-value assignment for intuitionistic quantum logic that not only aligns with the inherent characteristics of quantum mechanics but also supports truth-value reasoning. The natural revision theory is then investigated based on this approach. We introduce two types of revision operators that correspond to the two reasoning modes in quantum systems: static and dynamic revision. Furthermore, we highlight the distinctions between these two operators. Shifting away from classical revision paradigms, we consider the revision of consequence relations in intuitionistic quantum logic. We demonstrate how, within the natural revision theory framework, both revision operators collectively influence the consequence relations. Notably, the outcomes of revision process are impacted by the sequence in which these interweaved operators are deployed.

Lawrence Sklar

Abstract Quantum theory has presented scientists and philosophers of science with a series of perplexing questions. It seems to many that any attempt to comprehend a world described by quantum theory will require revision in our understanding of the nature of things far more radical than the revision in our understanding of the nature of space and time demanded by the theories of relativity. It has been claimed that to comprehend quantum theory we must revise our very understanding of such matters as the objective nature of reality and its independence from our perception of it, the nature of a complex system and its relation to its components, and the nature of causal and other kinds of determination in the world.

Richard Healey

Aleksey Smirnov

The article is devoted to rethinking the concepts of nature and matter, considered from the point of view of extreme objectivism, characteristic of classical natural science. The ancient and Christian paradigms of understanding nature are briefly considered, as well as the conditions for the possibility of obtaining objective knowledge in modern times, embodied in the spatial model of understanding. As an alternative to classical rationality, the concept of quantum mechanics by N. Bohr is given, as well as its ontoepistemological interpretation by K. Borad. In the final part, the classical opposition "nature/culture" is deconstructed, as a result of which culture appears as one of the goals of nature. Then if living things need art and technology, then nature itself needs culture. It is concluded that the picture of the nature-culture relationship is incomparably more complicated than it appears to the classical objectifying view. Nature and matter in this perspective acquire the role of an active participant in the formation of the world.