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The main purpose of this article is to get a handle on determining how far a non-rational singularity is from being rational, or in other words, introduce a measure of the failure of a singularity being rational.

Algebraic Geometry · Mathematics 2019-04-08 Sándor J. Kovács

In this paper we argue that data science is a coherent and novel approach to empirical problems that, in its most general form, does not build understanding about phenomena. Within the new type of mathematization at work in data science,…

Other Statistics · Statistics 2021-03-31 Domenico Napoletani , Marco Panza , Daniele Struppa

For a newcomer, paraconsistent logics can be difficult to grasp. Even experts in logic can find the concept of paraconsistency to be suspicious or misguided, if not actually wrong. The problem is that although they usually have much in…

Logic · Mathematics 2013-12-17 Jesse Alama

Certain results of observational cosmology cast critical doubt on the foundations of standard cosmology but leave most cosmologists untroubled. Alternative cosmological models that differ from the Big Bang have been published and defended…

General Physics · Physics 2009-05-18 Martin Lopez-Corredoira

Communicating new scientific discoveries is key to human progress. Yet, this endeavor is hindered by monetary restrictions for publishing one's findings and accessing other scientists' reports. This process is further exacerbated by a large…

General Economics · Economics 2022-03-02 Mohsen Kayal , Jane Ballard , Ehsan Kayal

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

Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking…

Logic · Mathematics 2015-06-11 Maokang Luo , Wei He

The concept of 'undone science' emerged in the 2010s in research in social sciences at the intersection of studies on social movements and of science and technology studies. It refers to research questions that are neglected, ignored, or…

Computers and Society · Computer Science 2026-05-26 Chantal Enguehard , Guillaume Munch-Maccagnoni , Alberto Naibo

The present discussion concerning certain fundamental physical theories (such as string theory and multiverse cosmology) has reopened the demarcation problem between science and non-science. While parts of the physics community see the…

History and Philosophy of Physics · Physics 2017-02-23 Helge Kragh

Nature's many varied complex systems (including galaxies, stars, planets, life, and society) are islands of order within the increasingly disordered universe. All organized systems are subject to physical, biological or cultural evolution,…

Popular Physics · Physics 2014-06-12 Eric J. Chaisson

Information is everywhere in nature which is very uncertain and unpredictable. But information, in itself, is a very ambiguous term. In this cursory write-up, we attempt to understand the formal meaning of information by quantifying…

Classical Physics · Physics 2024-09-20 Sagar Chakraborty

It would seem that the present dry economic times impose a very precise focus for science in general and physics in particular: research, possibly of applied type. However in doing so two basic pillars of a healthy future for science are…

Popular Physics · Physics 2025-11-07 Umberto Cannella

We explore a paradox of collective action and certainty in science wherein the more scientists research together, the less that work contributes to the value of their collective certainty. When scientists address similar problems and share…

Physics and Society · Physics 2024-06-11 Eamon Duede , James Evans

Communication is essential for the advancement of Science. Technology advances and the proliferation of personal devices have changed the ways in which people communicate in all aspects of life. Scientific communication has also been…

Digital Libraries · Computer Science 2024-01-19 José Nelson Amaral

In his late work (De venatione sapientiae), Cusanus unfolded basic ideas of his brilliant theology. After a long period, this ingenious teaching became clearly recognizable especially in our time. Forward with his face to the back, modern…

History and Philosophy of Physics · Physics 2011-11-04 Peter Kleinert

Empirical science needs to be based on facts and claims that can be reproduced. This calls for replicating the studies that proclaim the claims, but practice in most fields still fails to implement this idea. When such studies emerged in…

Other Statistics · Statistics 2025-08-27 Werner A. Stahel

Artificial Intelligence (AI) provides many opportunities to improve private and public life. Discovering patterns and structures in large troves of data in an automated manner is a core component of data science, and currently drives…

Artificial Intelligence · Computer Science 2019-10-11 Vaishak Belle

Current definitions of Information Science are inadequate to comprehensively describe the nature of its field of study and for addressing the problems that are arising from intelligent technologies. The ubiquitous rise of artificial…

Computers and Society · Computer Science 2025-02-18 Scott Humr , Mustafa Canan

This paper explores the concept of "entropy of knowledge" (EoN) as a framework for understanding the challenges and complexities of scientific discovery. Drawing from principles in thermodynamics and information theory, I propose that the…

Physics and Society · Physics 2024-06-05 Babu George

When we try to search for extraterrestrial life and intelligence, we have to follow some guidelines. The first step is to clarify what is to be meant by "Life" and "intelligence", i.e. an attempt to define these words. The word "definition"…

History and Philosophy of Physics · Physics 2011-12-06 Jean Schneider
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