Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
Zalamea’s book is the perfect introduction and survey if you want to understand how developments in contemporary mathematics are relevant to current philosophy.
Zalamea’s own approach follows closely in the steps of Peirce, Lautman, and Grothendieck, merging pragmatism, dialectics, and sheaf theory, but he also engages the work of dozens of other key mathematicians and philosophers coming from different points of view, sometimes cursorily, always tantalizingly.
No philosopher can read this book without a quickened heartbeat and eager plans to clear shelf space for some of the many volumes of mathematics and philosophy of mathematics canvassed here by Zalamea.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.
The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the…
My name is Daniel Robert McClure, and I am an Associate Professor of History at Fort Hays State University in Hays, Kansas. I teach U.S., African diaspora, and world history, and I specialize in cultural and economic history. I was originally drawn to “information” and “knowledge” because they form the ties between culture and economics, and I have been teaching history through “information” for about a decade. In 2024, I was finally able to teach a graduate course, “The Origins of the Knowledge Society,” out of which came the “5 books.”
This is an anchor book for my course on the “Knowledge Society.” I jokingly refer to this book as “the history of everything,” as it covers everything from art to astronomy to linguistics to science and mathematics.
It is both dense as well as exhilarating to read, as you work through the essence of patterns and principles humans have mobilized to shape and store information and knowledge for thousands of years.
A comprehensive account of the methods of knowledge production throughout human history and across the globe.
The idea that the world can be understood through patterns and the principles that govern them is one of the most important human insights-it may also be our greatest survival strategy. Our search for patterns and principles began 40,000 years ago, when striped patterns were engraved on mammoths' bones to keep track of the moon's phases. What routes did human knowledge take to grow from these humble beginnings through many detours and dead ends into modern understandings of nature and culture? In this work…
