![]() As Steingart’s history ably demonstrates, mathematics is the social activity in which styles of truth-here, abstraction-become synonymous with ways of knowing. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As mathematics changed, so did the meaning of mathematization.Īxiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. High thoughts are ideas that provide a different perspective on the mundane facts and activities of regular life. That’s when high thoughts start to occur. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. With only one or two puffs, your thoughts become more flexible and more creative. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics.įor American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. It cannot be changed without changing our thinking. Curated high thoughts, weed memes, high memes, stoner jokes, cannabis news. ![]() The world as we have created it is a process of our thinking. ![]() ![]() Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back into the conversation about midcentury American intellectual thought. Quotes tagged as 'deep-thoughts' Showing 1-30 of 642. The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century. ![]()
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