This article explores how mathematics, specifically statistics and probability, were manipulated in Nazi Germany to promote racist ideologies and justify discriminatory policies. It examines how seemingly objective mathematical concepts were twisted and selectively applied to create a false sense of scientific backing for eugenic programs and the persecution of minorities. By focusing on skewed data and misrepresenting statistical concepts, the Nazi regime aimed to convince the public of the inferiority of certain groups, thereby normalizing and legitimizing their horrific actions. The article serves as a warning about the potential for mathematical tools to be misused in the service of dangerous ideologies.
The 1930s saw a diverse range of camera formats coexisting, from large format plate cameras favored by professionals to increasingly popular roll-film cameras like folding cameras and box cameras for casual users. Miniature format cameras using 35mm film, though existing, were still gaining traction. The era was characterized by evolving technology, with advancements in lenses, shutters, and film contributing to improved image quality and ease of use for amateur photographers. While sophisticated, high-quality cameras were available, affordability remained a barrier for many, with simpler, more accessible cameras dominating the consumer market.
Hacker News users discussed the practicality and social implications of the "Living Image" setup described in the linked article. Some questioned the claimed real-time nature of the system given the technological limitations of the 1930s, suggesting significant latency and low resolution would have hampered true "live" viewing. Others pointed out the substantial resources required, making it an exclusive technology accessible only to the very wealthy. The potential for surveillance and voyeurism was also raised, with comparisons to modern security systems and the panopticon concept. Finally, several commenters expressed fascination with the ingenuity of the system and the glimpse it provided into the technological aspirations of the era.
Summary of Comments ( 12 )
https://news.ycombinator.com/item?id=43728130
Hacker News users discuss the role of mathematics in Nazi Germany, focusing on how mathematical skill and logic were twisted to serve a hateful ideology. Some commenters point out the danger of believing that intelligence or technical proficiency inherently leads to morality, highlighting how easily logic can be applied to justify horrific acts. Others discuss the specific examples in the article, like Bieberbach's attempts to define "German mathematics" and the expulsion of Jewish mathematicians, illustrating the devastating impact of such politicization. Several users express concern about the potential for similar abuses of science and reason in the present day, warning against complacency. There's also a brief thread on the general difficulty of defining "national" characteristics in fields like mathematics, with some arguing that it's inherently a universal pursuit.
The Hacker News post titled "A Math Lesson From Hitler’s Germany (2017)" has a modest number of comments, sparking a discussion around the role of mathematics in a politically charged environment. Several commenters engage with the historical context presented in the article.
One commenter highlights the chilling anecdote from the article about a Jewish mathematician being forced to teach "Jewish mathematics" as a form of humiliation and persecution. This comment emphasizes the perversion of mathematics for ideological purposes and the cruelty inflicted upon intellectuals during the Nazi regime.
Another commenter draws a parallel between the historical context of the article and contemporary issues, pointing out the dangers of politicizing science and mathematics. They argue that manipulating scientific principles for political gain can have detrimental consequences, echoing the misuse of mathematics described in the article.
A different thread of discussion focuses on the nature of mathematics itself. One commenter questions the very premise of "Jewish mathematics," asserting that mathematics is a universal language and cannot be categorized by ethnicity or ideology. This perspective reinforces the idea that mathematics exists independently of political or social constructs.
A further comment expands on this by exploring the concept of "German physics," another example of attempting to align scientific fields with nationalistic ideologies. They highlight the absurdity of such endeavors, emphasizing the universality and objectivity of scientific principles.
Several comments offer additional historical context, referencing other instances of science and mathematics being manipulated for political purposes throughout history. These examples serve to underscore the recurring nature of this phenomenon and the importance of safeguarding intellectual pursuits from ideological influence.
While the number of comments isn't extensive, the discussion offers a valuable reflection on the intersection of mathematics, politics, and history. The commenters collectively express concern about the dangers of politicizing science and highlight the importance of upholding the integrity of intellectual disciplines.