Moritz Bodner
Moritz Bodner
I show on the basis of unpublished sources how Hilbert's conviction of the solvability of all mathematical problems originated from an engagement with Kant's philosophy of mathematics. Furthermore, I consider other sense of the "solvability...
A clockmaker's mathematics: a technology-based approach to the mathematical works of Jost Bürgi (1552-1632) [0.03%]
钟表匠的数学:基于技术的方法研究Jost Bürgi (1552-1632) 的数学工作
Damian Moosbrugger
Damian Moosbrugger
In this article, I propose a new approach to analyze the interrelations between mathematics and technology. It has the potential to contribute methodologically to both the fields of history of mathematics as well as the study of computation...
Eric-Jan Wagenmakers,Alexander Ly
Eric-Jan Wagenmakers
The Jeffreys-Lindley paradox exposes a rift between Bayesian and frequentist hypothesis testing that strikes at the heart of statistical inference. Contrary to what most current literature suggests, the paradox was central to the Bayesian t...
Before the end of an error: Giovanni Bianchini's original flawed treatise on the conversion of stellar coordinates [0.03%]
错误结束前:Giovanni Bianchini关于恒星坐标转换的原始有误手稿
Glen Van Brummelen
Glen Van Brummelen
In my 2018 article in this journal, I described 15th-century Italian astronomer Giovanni Bianchini's treatment of the problem of stellar coordinate conversion in his Tabulae primi mobilis, the first correct European solution. In this treati...
'Nobody could possibly misunderstand what a group is': a study in early twentieth-century group axiomatics [0.03%]
“没有任何人可能会误解群是什么”——二十世纪早期公理化研究中的群
Christopher D Hollings
Christopher D Hollings
In the early years of the twentieth century, the so-called 'postulate analysis'-the study of systems of axioms for mathematical objects for their own sake-was regarded by some as a vital part of the efforts to understand those objects. I co...
The development of Euclidean axiomatics: The systems of principles and the foundations of mathematics in editions of the Elements in the Early Modern Age [0.03%]
欧几里得公理体系的发展:初等数学版本中的原则体系和数学基础
Vincenzo De Risi
Vincenzo De Risi
The paper lists several editions of Euclid's Elements in the Early Modern Age, giving for each of them the axioms and postulates employed to ground elementary mathematics.
G J Toomer
G J Toomer
O B Sheynin
O B Sheynin