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Quantum mechanics has enjoyed a multitude of successes since its formulation in the early twentieth century. At the same time, it has generated puzzles that persist to this day. These puzzles have inspired a large literature in physics and…

Quantum Physics · Physics 2009-12-14 Stephen L. Adler , Angelo Bassi

The field of data science currently enjoys a broad definition that includes a wide array of activities which borrow from many other established fields of study. Having such a vague characterization of a field in the early stages might be…

Other Statistics · Statistics 2021-05-14 Roger D. Peng , Hilary S. Parker

We lay the groundwork for a formal framework that studies scientific theories and can serve as a unified foundation for the different theories within physics. We define a scientific theory as a set of verifiable statements, assertions that…

Artificial Intelligence · Computer Science 2019-02-20 Gabriele Carcassi , Christine A. Aidala

Over the last few decades, the nature of scientific research has changed in response to external influences. Firstly, powerful networked computers have become a standard tool. Secondly, society presses ever harder for research to deliver…

Physics Education · Physics 2017-11-27 Philip G Judge , Isabel Lipartito , Roberto Casini

In this short review, I will summarize my research experience in three fields in applied mathematics: mathematical biology, applied probability, and applied discrete mathematics. Specifically, I will show how each project was initiated, and…

General Mathematics · Mathematics 2023-01-18 Yue Wang

Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to…

History and Philosophy of Physics · Physics 2021-11-04 Nicolas Gisin

It is a fact of our existence, that no matter where we are, we most often find ourselves either hearing, seeing, talking, or even engaged in design related activities. Despite this reality, the notion of 'design', and in particular…

Human-Computer Interaction · Computer Science 2013-05-20 Mouhamed Abdulla , Yousef R. Shayan

Traditionally, to be a realist about something means believing in the independent existence of that something. In this line of thought, a scientific realist is someone who believes in the objective existence of the entities postulated by…

History and Philosophy of Physics · Physics 2023-11-16 Raoni W. Arroyo , Jonas R. B. Arenhart

The psychology of science is the least developed member of the family of science studies. It is growing, however, increasingly into a promising discipline. After a very brief review of this emerging sub-field of psychology, we call for it…

General Economics · Economics 2023-09-19 Arash Mousavi , Reza Hafezi , Hasan Ahmadi

We start by summarising very briefly the various prior attempts (during the last one and half a decade), some of which were made as independent research centres and others as visiting centres with extensive visiting programs for luminaries…

Statistical Mechanics · Physics 2023-01-26 Suchismita Banerjee , Manipushpak Mitra

A century ago, discoveries of a serious kind of logical error made separately by several leading mathematicians led to acceptance of a sharply enhanced standard for rigor within what ultimately became the foundation for Computer Science. By…

Other Computer Science · Computer Science 2019-06-03 Arthur Charlesworth

Cosmology differs in some respects significantly from other sciences, primarily because of its intimate association with issues of a conceptual and philosophical nature. Because cosmology in the broader sense relates to the world views held…

History and Philosophy of Physics · Physics 2012-12-10 Helge Kragh

Philosophers have recently focused on critical, epistemological challenges that arise from the opacity of deep neural networks. One might conclude from this literature that doing good science with opaque models is exceptionally challenging,…

Artificial Intelligence · Computer Science 2024-01-17 Eamon Duede

Despite broad acclaim for basic research, science is undergoing an applied shift that marginalizes basic scientists. This gap reflects an incomplete understanding of their distinctive roles, which prevents translating philosophical…

Digital Libraries · Computer Science 2025-09-04 Rikuei Kaku , Mikako Bito , Keita Nishimoto , Ichiro Sakata , Kimitaka Asatani

The paper reviews and discusses four ideas scattered in previous papers of the author. First, objective properties of quantum systems are not associated with observables but are defined by preparations. Second, measurable results of…

Quantum Physics · Physics 2016-07-29 Petr Hajicek

Excellent computer simulations are done for a purpose. The most valid purposes are to explore uncharted territory, to resolve a well-posed scientific or technical question, or to make a design choice. Stand-alone modeling can serve the…

Numerical Analysis · Mathematics 2025-10-20 Leo P. Kadanoff

The aim of this essay is to propose a conception of mathematics that is fully consonant with naturalism. By that I mean the hypothesis that everything that exists is part of the natural world, which makes up a unitary whole.

History and Philosophy of Physics · Physics 2015-06-12 Lee Smolin

Artificial intelligence (AI) systems, such as machine learning algorithms, have allowed scientists, marketers and governments to shed light on correlations that remained invisible until now. Beforehand, the dots that we had to connect in…

Computers and Society · Computer Science 2022-02-08 Remy Demichelis

Experimentation is an intrinsic part of research in artificial intelligence since it allows for collecting quantitative observations, validating hypotheses, and providing evidence for their reformulation. For that reason, experimentation…

Artificial Intelligence · Computer Science 2024-02-14 Josu Ceberio , Borja Calvo

Empirical research plays a fundamental role in the machine learning domain. At the heart of impactful empirical research lies the development of clear research hypotheses, which then shape the design of experiments. The execution of…

Machine Learning · Computer Science 2024-05-29 Daniel Vranješ , Oliver Niggemann
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