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Statistics is one of the most valuable of disciplines. Science is based on proof and it alone produces results, other approaches are not, and do not. Statistics is the only acceptable language of proof in science. Yet statistics is…

Other Statistics · Statistics 2016-04-20 Alexander Nussbaum , Richard Seides

Practicing mathematicians often assume that mathematical claims, when they are true, have good reasons to be true. Such a state of affairs is "unreasonable", in Wigner's sense, because basic results in computational complexity suggest that…

History and Overview · Mathematics 2024-10-28 Simon DeDeo

Mathematical maturity is a key concept for the professional life of a mathematician. This paper is not only a brief discussion of the importance of mathematical maturity but also presents some unusual ways we can use the concept to help our…

History and Overview · Mathematics 2014-10-17 Thomas Garrity

The purpose of this essay is to bring out the unique role of Mathematics in providing a base to the diverse sciences which conform to its rigid structure. Of these the physical and economic sciences are so intimately linked with…

Popular Physics · Physics 2012-02-29 A. N. Mitra

The Fields Medal, often referred as the Nobel Prize of mathematics, is awarded to no more than four mathematician under the age of 40, every four years. In recent years, its conferral has come under scrutiny of math historians, for…

History and Overview · Mathematics 2020-02-19 Ho-Chun Herbert Chang , Feng Fu

Despite significant improvements over the last few generations, the discipline of mathematics still counts a disproportionately small number of women among its practitioners. These women are underrepresented as conference speakers, even…

History and Overview · Mathematics 2015-02-24 Greg Martin

Program review in the physical sciences may benefit from a framework within which to quantitatively discuss the scientific merit of a proposed theoretical program of research, and to assess the scientific merit of a particular theoretical…

Data Analysis, Statistics and Probability · Physics 2010-01-02 Bruce Knuteson

There is a problem with the foundations of classical mathematics, and potentially even with the foundations of computer science, that mathematicians have by-and-large ignored. This essay is a call for practicing mathematicians who have been…

Logic · Mathematics 2020-09-23 Jonathan Lenchner

One can notice that quite often difference between so-called "standard students" and "gifted" ones is not because that first are less smart, but they have different "orientation", they consider subject as a collections of rules which should…

History and Overview · Mathematics 2017-12-06 A. Ya. Belov , R. Yavich

This article shows how the Universities and higher education and research institutions obey more and more to criteria of profitability and effectiveness, following the example of the industry. The Universities and the academic communities…

Physics and Society · Physics 2007-05-23 Jose Carlos Bermejo-Barrera

This article analyzes the emerging ethical turn in mathematics education, arguing that it is a nuanced extension of the sociopolitical turn. While sociopolitical studies of mathematics have highlighted systemic issues and group concerns…

History and Overview · Mathematics 2025-04-01 Dennis Müller

Recent research increasingly brings to question the appropriateness of using predictive tools in complex, real-world tasks. While a growing body of work has explored ways to improve value alignment in these tools, comparatively less work…

Machine Learning · Computer Science 2023-02-15 Amanda Coston , Anna Kawakami , Haiyi Zhu , Ken Holstein , Hoda Heidari

Academic data sharing is a way for researchers to collaborate and thereby meet the needs of an increasingly complex research landscape. It enables researchers to verify results and to pursuit new research questions with "old" data. It is…

Digital Libraries · Computer Science 2015-03-03 Benedikt Fecher , Sascha Friesike , Marcel Hebing , Stephanie Linek , Armin Sauermann

Scientific research funding is allocated largely through a system of soliciting and ranking competitive grant proposals. In these competitions, the proposals themselves are not the deliverables that the funder seeks, but instead are used by…

Physics and Society · Physics 2019-01-04 Kevin Gross , Carl T. Bergstrom

Computational sociology is growing in popularity, yet the analytic tools employed differ widely in power, transparency, and interpretability. In computer science, methods gain popularity after surpassing benchmarks of predictive accuracy,…

Computers and Society · Computer Science 2025-09-11 AJ Alvero , Ruohong Dong , Klint Kanopka , David Lang

The sharing and citation of research data is becoming increasingly recognized as an essential building block in scientific research across various fields and disciplines. Sharing research data allows other researchers to reproduce results,…

Digital Libraries · Computer Science 2023-09-22 Tim Conrad , Eloi Ferrer , Daniel Mietchen , Larissa Pusch , Johannes Stegmuller , Moritz Schubotz

In science and beyond, numbers are omnipresent when it comes to justifying different kinds of judgments. Which scientific author, hiring committee-member, or advisory board panelist has not been confronted with page-long "publication…

Digital Libraries · Computer Science 2018-05-09 Julian N. Marewski , Lutz Bornmann

We introduce a methodology to analyze citation metrics across fields of Mathematics. We use this methodology to collect and analyze the MathSciNet profiles of Full Professors of Mathematics at all 131 R1, research oriented US universities.…

History and Overview · Mathematics 2020-08-26 Joshua Paik , Igor Rivin

A proof is one of the most important concepts of mathematics. However, there is a striking difference between how a proof is defined in theory and how it is used in practice. This puts the unique status of mathematics as exact science into…

We commonly think of mathematics as bringing precision to application domains, but its relationship with computer science is more complex. This experience report on the use of Racket and Haskell to teach a required first university CS…

Programming Languages · Computer Science 2013-01-23 Prabhakar Ragde