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Process Philosophy endeavours to replace the classical ontology of substances by a process ontology centered on notions of changes and transitions. We argue, that the substantial and processual approach are mutually complementary. Here,…

量子物理 · 物理学 2010-02-26 Hartmann Roemer

The physical Church thesis is a thesis about nature that expresses that all that can be computed by a physical system-a machine-is computable in the sense of computability theory. At a first look, this thesis seems contradictory with the…

计算机科学中的逻辑 · 计算机科学 2023-04-27 Gilles Dowek

The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinism, and objective knowledge. This paper reviews the…

计算复杂性 · 计算机科学 2008-07-29 Francis Heylighen , Paul Cilliers , Carlos Gershenson

We present two logical systems based on dependent types that are comparable to ZFC, both in terms of simplicity and having natural set theoretic interpretations. Our perspective is that of a mathematician trained in classical logic, but…

逻辑 · 数学 2025-08-07 Tristan Bice

The canonical formalism of general relativity affords a particularly interesting characterisation of the infamous hole argument. It also provides a natural formalism in which to relate the hole argument to the problem of time in classical…

广义相对论与量子宇宙学 · 物理学 2017-11-15 Sean Gryb , Karim P. Y. Thebault

This paper explores the status of some notions which are usually associated to time, like datations, chronology, durations, causality, cosmic time and time functions in the Einsteinian relativistic theories. It shows how, even if some of…

广义相对论与量子宇宙学 · 物理学 2013-12-11 Marc Lachieze-Rey

We compare classical and quantum dynamics of a particle in the de Sitter spacetimes with different topologies to show that the result of quantization strongly depends on global properties of a classical system. We present essentially…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wlodzimierz Piechocki

The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an isochronous time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even…

广义相对论与量子宇宙学 · 物理学 2015-08-11 Fabio Briscese , Francesco Calogero

The paper develops the idea that the dynamics of both classical and quantum processes is time reversible. It is shown how this classical analogy allows one to define the measure for the path integral in quantum mechanics.

高能物理 - 唯象学 · 物理学 2007-05-23 I. D. Mandzhavidze

In a recent provocative paper, Lamport points out "the insubstantiality of processes" by proving the equivalence of two different decompositions of the same intuitive algorithm by means of temporal formulas. We point out that the correct…

软件工程 · 计算机科学 2007-05-23 Yuri Gurevich , James K. Huggins

We show that the number of gods in a universe must equal the Euler characteristics of its underlying manifold. By incorporating the classical cosmological argument for creation, this result builds a bridge between theology and physics and…

科普物理 · 物理学 2012-04-02 Daniel Schoch

We introduce the calculus of Classical Transitions (CT), which extends the research line on the relationship between linear logic and processes to labelled transitions. The key twist from previous work is registering parallelism in typing…

计算机科学中的逻辑 · 计算机科学 2018-03-06 Fabrizio Montesi , Marco Peressotti

Is it possible to articulate a conception of consciousness that is compatible with the exotic characteristics of contemporary, disembodied AI systems, and that can stand up to philosophical scrutiny? How would subjective time and selfhood…

人工智能 · 计算机科学 2025-07-22 Murray Shanahan

A hybrid metric with off-diagonal temporal-radial behavior that was constructed to conveniently parameterized the early and late time behaviors of the universe is shown to have diagonal forms consistent with Robertson-Walker and deSitter…

广义相对论与量子宇宙学 · 物理学 2007-05-23 James Lindesay

The paper discusses the problem of demarcation between the dimensions of natural and the human sciences in contemporary cosmology. In spite of a common presumption that cosmology is a natural science, the specificity of its alleged subject…

综合物理 · 物理学 2011-02-16 Alexei V. Nesteruk

We propose the concepts of philomatics and psychomatics as hybrid combinations of philosophy and psychology with mathematics. We explain four motivations for this combination which are fulfilling the desire of analytical philosophy,…

历史与综述 · 数学 2023-08-29 Benyamin Ghojogh , Morteza Babaie

Although the so called tetralemma might seem to be incompatible with any recognized scheme of logical inference, its four alternatives arise naturally within the anhomomorphic logics which have been proposed in order to accommodate certain…

逻辑 · 数学 2015-05-19 Rafael D. Sorkin

The purpose of this project is to outline various philosophies on the metaphysics of mathematics that have been prominent since the time of Cantor, highlighting some biographical aspects that have influenced these ideas as well. The main…

历史与综述 · 数学 2021-03-22 John Hester

A direct classical analog of quantum decoherence is introduced. Similarities and differences between decoherence dynamics examined quantum mechanically and classically are exposed via a second-order perturbative treatment and via a strong…

量子物理 · 物理学 2009-11-07 Jiangbin Gong , Paul Brumer

Theories of decoherence come in two flavors---Platonic and Aristotelian. Platonists grant ontological primacy to the concepts and mathematical symbols by which we describe or comprehend the physical world. Aristotelians grant it to the…

量子物理 · 物理学 2007-05-23 Ulrich Mohrhoff