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In recent years there has been a closer interrelationship between several scientific areas trying to obtain a more realistic and rich explanation of the natural and social phenomena. Among these it should be emphasized the increasing…

物理与社会 · 物理学 2016-09-08 Andreia Dionisio , Rui Menezes , Diana A. Mendes

Statistical physics has proven to be a very fruitful framework to describe phenomena outside the realm of traditional physics. The last years have witnessed the attempt by physicists to study collective phenomena emerging from the…

物理与社会 · 物理学 2009-05-11 Claudio Castellano , Santo Fortunato , Vittorio Loreto

This text revisits the origins of econophysics through the figure of Beno\^it Mandelbrot, not as the father of fractals, but as the instigator of a distinctive scientific posture. The guiding thread is methodological: accept the stubborn…

统计力学 · 物理学 2026-02-03 Jean-Philippe Bouchaud

Baroque questions of set-theoretic foundations are widely assumed to be irrelevant to physics. In this article, I demonstrate that this assumption is incorrect. I show that the fundamental physical question of whether a theory is…

逻辑 · 数学 2025-10-21 Justin Clarke-Doane

Philosophers frequently struggle with the relation of metaphysics to the everyday world, with its practical value, and with its relation to empirical science. This paper distinguishes several different models of the relation between…

人工智能 · 计算机科学 2019-03-28 Gary H. Merrill

Though the truths of logic and pure mathematics are objective and independent of any contingent facts or laws of nature, our knowledge of these truths depends entirely on our knowledge of the laws of physics. Recent progress in the quantum…

历史与综述 · 数学 2007-05-23 David Deutsch , Artur Ekert , Rossella Lupacchini

Problem solving is central to physics instruction. Results from Physics Education Research (PER), however, demonstrate that traditional ways of teaching with problem solving are inefficient and ineffective for promoting true physics…

物理教育 · 物理学 2007-05-23 William J. Gerace , Ian D. Beatty

The statistical description and modeling of volatility plays a prominent role in econometrics, risk management and finance. GARCH and stochastic volatility models have been extensively studied and are routinely fitted to market data, albeit…

计算工程、金融与科学 · 计算机科学 2018-03-13 Nils Bertschinger , Iurii Mozzhorin , Sitabhra Sinha

Physicists have recently begun doing research in finance, and even though this movement is less than five years old, interesting and useful contributions have already emerged. This article reviews these developments in four areas, including…

adap-org · 物理学 2016-11-15 J. Doyne Farmer

Energy is no doubt an intuitive concept. Following a previous analysis on the nature of elementary particles and associated elementary quantum fields, the peculiar status and role of energy is scrutinised further at elementary and larger…

Social physics is the application of ideas, concepts and tools from physics to study social phenomena. In this article, we present a mechanical theory underlying a mathematical treatment of social physics. We explore the possibility of…

物理与社会 · 物理学 2024-02-28 VS Morales-Salgado

This contribution discusses in what respect Econophysics may be able to contribute to the rebuilding of economics theory. It focuses on aggregation, individual vs collective learning and functional wisdom of the crowds.

物理与社会 · 物理学 2017-01-04 Damien Challet

The role of mathematics in physical sciences is discussed, particularly how higher mathematics found applications in empirical problems. Several examples are given to illustrate this role.

历史与综述 · 数学 2007-05-23 Riazuddin

In the absence of empirical confirmation, scientists may judge a theory's chances of being viable based on a wide range of arguments. The paper argues that such arguments can differ substantially with regard to their structural similarly to…

物理学史与哲学 · 物理学 2017-02-07 Richard Dawid

The centuries-long practice of the teaching turned mechanics into an academic construct detached from its underlying science, the physics of macroscopic bodies. In particular, the regularities that delineate the scope of validity of…

经典物理 · 物理学 2015-06-15 Serge A. Wagner

During recent collaboration with colleagues to revise our institution's general-education curriculum, I encountered many perceptions of what we mean by the Natural Sciences. I was surprised to find that perceptions of scientific pedagogy…

物理教育 · 物理学 2015-08-04 M. E. McCracken

Dirac sought an interpretation of mathematical formalism in terms of physical entities and Einstein insisted that physics should describe "the real states of the real systems". While Bell inequalities put into question the reality of…

量子物理 · 物理学 2017-06-20 Alexei Grinbaum

The purpose of the dynamics of moving systems is to search for the mathematical model that describes the link between the resultant applied force, that is the cause, and the speed of system that is the effect. This mathematical link…

综合物理 · 物理学 2010-01-15 Daniele Sasso

In this essay, I argue that mathematics is a natural science---just like physics, chemistry, or biology---and that this can explain the alleged "unreasonable" effectiveness of mathematics in the physical sciences. The main challenge for…

物理学史与哲学 · 物理学 2016-08-05 M. S. Leifer

Physical laws are a set of rules in the relationship between observations made by the experimenter. All these observations are made through a mechanism that links the external world to the experimenter's awareness, a mechanism which is not…

量子物理 · 物理学 2017-07-12 Hitoshi Inamori