The interactions of mathematics and society in history some exploratory remarks

Bos, H. J. T.; Mehrtens, Herbert

doi:10.1016/0315-0860(77)90031-3

Cited by 10 publications

(4 citation statements)

References 23 publications

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“…Barany and MacKenzie support Rosental's position by observing that the study of mathematical practice relies mostly on historical and philosophical accounts of settled mathematics, thus lacking an adequate sociological treatment of ongoing research (Barany & MacKenzie, 2014). Indeed, although the influence of social factors on scientific production has been widely discussed in the sociology of scientific knowledge -for example see (Knorr-Cetina & Mulkay, 1983;Barnes et al, 1996) -and has found some echoes in the history of mathematics (Bos & Mehrtens, 1977;Gispert, 2000), contributions to the sociology of mathematics have remained scarce.…”

Section: Mathematical Communities and The Interplay Of Their Practicesmentioning

confidence: 99%

What Is a Theorem (in Practice)? The Role of Metamathematics in the Making of Mathematics

Lavau

2021

trilogía Cienc. Tecnol. Soc.

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This article advocates the benefits of a sociological perspective for the philosophy of mathematical practice. Drawing from the literature of the sociology of sciences, it defends a community-centered approach of the study of mathematical practice and assesses the role of the notion of metamathematics in mathematical change and in stabilized mathematical practices. It relies on the case study of the emergence of geometric control theory at the beginning of the 1970s and of the citational practices associated to the community of control theory since the mid-1990s. The case study shows that the introduction of geometric tools in control theory at the end of the 1960s induced a change in the metamathematical views that control theorists had on their objects. It is then demonstrated how membership to the community of control theory shapes the production and the reception of the theorems of Stefan, Sussmann and Nagano. Interpreting the historical development and citational practices of this community through the perspective of metamathematics, this paper concludes by discussing the role of the orbit theorem in control theory, both as a cognitive label and as a social marker of membership to this community.

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Section: Mathematical Communities and The Interplay Of Their Practicesmentioning

confidence: 99%

What Is a Theorem (in Practice)? The Role of Metamathematics in the Making of Mathematics

Lavau

2021

trilogía Cienc. Tecnol. Soc.

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“…It is also noteworthy that these somewhat specialized discussions were present in daily journals, showing that mathematical knowledge was, at least in part, present on the public debate of Barcelona at that time. Also, the different opinions and points of view about the previous, and other, questions can give us valuable information about the, sometimes difficult to grasp, bidirectional interactions between mathematics and society (BOS; MERTENS, 1977) during the Spanish Enlightenment.…”

Section: Some Final Remarksmentioning

confidence: 99%

Mathematics in 18th Century Spanish Daily Press. The Early Years of Diario de Barcelona

Oller-Marcén

2023

Bolema

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During the 18th century, many newspapers were published in Spain. Many of them covered scientific topics, even if it was not their main goal. In fact, it was possible to find scientific contents in daily newspapers whose main goal was essentially informative. Mathematics was not an exception. In this paper, we focus on the early years of Diario de Barcelona . We have identified the relevant presence of Mathematics in 51 out of the 3013 initial issues of the daily paper. Then, we provide an overview of the mathematical contents presented in this newspaper, that can be classified into two main categories (isolated collaborations and interactions) and, furthermore, we have a closer look at some of these contents. In particular, we describe interactions between readers around arithmetic and algebraic problems proposed by some of them, as well as some isolated collaborations about different topics. In both cases it is possible to detect interesting questions and debates about several aspects of Mathematics.

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“…Looking at previous work on recreational mathematics from a historical perspective, I have not found extensive research on this question [3,4]. Here I will try to approach it from an educational perspective using political and historical arguments.…”

Section: Introductionmentioning

confidence: 99%

Recreational Mathematics – Only For Fun?

Sumpter¹

2015

jhummath

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The interactions of mathematics and society in history some exploratory remarks

Cited by 10 publications

References 23 publications

What Is a Theorem (in Practice)? The Role of Metamathematics in the Making of Mathematics

What Is a Theorem (in Practice)? The Role of Metamathematics in the Making of Mathematics

Mathematics in 18th Century Spanish Daily Press. The Early Years of Diario de Barcelona

Recreational Mathematics – Only For Fun?

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