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200 papers

This doctoral dissertation presents an in-depth analysis of the first six chapters of Eddington's Fundamental Theory, sometimes referred to as his 'statistical' theory, in the context of discoveries and advancements made since its original…

Quantum Physics · Physics 2007-05-23 I. T. Durham

"Evidence and Evolution: the Logic behind the Science" was published in 2008 by Elliott Sober. It examines the philosophical foundations of the statistical arguments used to evaluate hypotheses in evolutionary biology, based on simple…

Methodology · Statistics 2010-06-23 Christian P. Robert

Analytic concepts contribute to our understanding of randomness of reals via algorithmic tests. They also influence the interplay between randomness and lowness notions. We provide a survey, written on the occasion of Rod Downey's 60th…

Logic · Mathematics 2016-07-26 André Nies

The hitherto unknown author of a citation by Goethe in his History of Colours is identified as J. E. Montucla and the context of Montucla's quotation is discussed.

History and Overview · Mathematics 2024-03-01 Hubert Kalf

Steven Weinberg productive scientific life teaches us many things, one of the most important of which is the power of his example. This essay contains personal reminiscences and a speculation about gravitational wave propagation based on…

High Energy Physics - Theory · Physics 2025-04-03 C. P. Burgess

This is a typeset version of Alan Turing's declassified Second World War paper \textit{Paper on Statistics of Repetitions}. See the companion paper, \textit{The Applications of Probability to Cryptography}, also available from arXiv at…

History and Overview · Mathematics 2015-05-27 Ian Taylor

This is a short apology of the style of the Elements by Euclid and Bourbaki.

General Mathematics · Mathematics 2011-05-31 S. S. Kutateladze

For several decades a portrait of Johannes Kepler has been widely circulating among professional astronomers, scientific and academic institutions, and the general public. Despite its provenance and identification having been questioned in…

History and Philosophy of Physics · Physics 2021-09-06 Steven N. Shore , Václav Pavlík

Throughout history, a relatively small number of individuals have made a profound and lasting impact on science and society. Despite long-standing, multi-disciplinary interests in understanding careers of elite scientists, there have been…

Digital Libraries · Computer Science 2020-05-26 Jichao Li , Yian Yin , Santo Fortunato , Dashun Wang

First proved my Donald Martin in 1975, the result of Borel determinacy has been the subject of multiple revised proofs. Following Martin's book [1], we present a recent streamlined proof which implements ideas of Martin, Moschovakis, and…

Logic · Mathematics 2024-01-19 Thomas Buffard , Gabriel Levrel , Sam Mayo

We describe the development of the mathematics of Helmut R. Salzmann (3. 11. 1930 -- 8. 3. 2022) and the main difficulties he was facing, documenting his lifelong productivity and his far reaching influence. We include a comprehensive…

History and Overview · Mathematics 2023-10-16 Rainer Löwen

As an introduction to a Special Issue of International Journal of Theoretical and Applied Finance in Honour of the Memory of Thomas Robert Hurd we present a brief synopsis of Tom Hurd's scientific career and a bibliography of his scientific…

Mathematical Finance · Quantitative Finance 2024-10-15 Matheus R. Grasselli , Lane P. Hughston

This paper is inspired by 1892 paper of Johnson, where he has given an axiomatization for the variety of Boolean algebras (equivalently, for classical propositional calculus). The fact that the axioms of Johnson include the associative law,…

Logic · Mathematics 2025-11-17 Hanamantagouda P. Sankappanavar

We carry out a thorough bibliometric analysis of recent publications in mathematics based on the database Web of Science. The individual relations between various features and the citations are provided, and the importance of the features…

Digital Libraries · Computer Science 2021-02-16 Serge Richard , Qiwen Sun

This article is a multiauthored portrait of Edsger Wybe Dijkstra that consists of testimonials written by several friends, colleagues, and students of his. It provides unique insights into his personality, working style and habits, and his…

General Literature · Computer Science 2021-04-09 Krzysztof R. Apt , Tony Hoare

In his autobiographic essay written in 1999, ``From logic to computer science and back'', Martin David Davis (3/8/1928--1/1/2023) indicated that he viewed himself as a logician \emph{and} a computer scientist. He expanded the essay in 2016…

Logic in Computer Science · Computer Science 2025-06-11 Liesbeth De Mol , Yuri V. Matiyasevich , Eugenio G. Omodeo , Alberto Policriti , Wilfried Sieg , Elaine J. Weyuker

This is based on the after-dinner talk given at the 70th Birthday Conference for Michael E. Fisher at Rutgers in December, 2001. It is longer than the talk, incorporating additional text from the after-dinner talk I gave at Fisher's 60th…

Statistical Mechanics · Physics 2007-05-23 N. David Mermin

In this note, we investigate the history of algebra briefly. We particularly focus on the history of rings, semirings, and the distributive law.

History and Overview · Mathematics 2018-08-01 Peyman Nasehpour

Estimating the human longevity and computing of life expectancy are central to the population dynamics. These aspects were studied seriously by scientists since fifteenth century, including renowned astronomer Edmund Halley. From basic…

Populations and Evolution · Quantitative Biology 2021-06-15 Arni S. R. Srinivasa Rao , James R. Carey

With unprecedented advances in genetic engineering we are starting to see progressively more original examples of synthetic life. As such organisms become more common it is desirable to be able to distinguish between natural and artificial…

Other Computer Science · Computer Science 2016-11-28 Roman V. Yampolskiy