圖書標籤: 哲學 範疇論 數學 範疇學 數學哲學 category 邏輯學 數理
发表于2024-11-24
Categories for the Working Philosopher pdf epub mobi txt 電子書 下載 2024
・The first volume on category theory aimed at philosophers working across various areas
・Each chapter is written by either a respected category-theorist or a philosopher working in one of the represented areas
・Accessibly written for both teaching and research
Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models.
Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world.
Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.
Elaine Landry is professor of philosophy at the University of California, Davis. Her research spans three broad areas within Philosophy of Science: history and philosophy of mathematics, history and philosophy of science, and Plato's philosophy of mathematics. She is one of few philosophers who works on building bridges between all of these areas of research. Her papers are referenced in the Stanford Encyclopaedia of Philosophy (SEP) under the entries for both "Category Theory" and "Structural Realism".
Contributors:
Samson Abramsky, University of Oxford
Steve Awodey, Carnegie Mellon University
John Bell, University of Western Ontario
Robin Cockett, University of Calgary
Bob Coecke, University of Oxford
David Corfield, University of Kent
Andree Ehresmann, Universite de Picardie Jules Verne
Michael Ernst, University of California, Irvine
Hans Halvorson, Princeton University
Kohei Kishida, University of Oxford
Aleks Kissinger, University of Oxford
Jim Lambek, McGill University
Elaine Landry, University of California, Davis
Jean-Pierre Marquis, Universite de Montreal
Colin McLarty, Case Western Reserve University
Robert Seely, McGill University
Michael Shulman, University of San Diego
David Spivak, Massachusetts Institute of Technology
Dimitris Tsementzis, Princeton University
James Weatherall, University of California, Irvine
这是我的研究领域。此书比较忠实地反映了当前数学基础、物理学基础(包括量子力学基础)、数理逻辑(特别是范畴逻辑)、科学哲学等方向上的新趋势。 “纯”范畴论 Colin McLarty 的文章主题是:在现有的层叠集合观上存在一个规范,使得它带有冗余结构。数学家的工作基础不是质...
評分这是我的研究领域。此书比较忠实地反映了当前数学基础、物理学基础(包括量子力学基础)、数理逻辑(特别是范畴逻辑)、科学哲学等方向上的新趋势。 “纯”范畴论 Colin McLarty 的文章主题是:在现有的层叠集合观上存在一个规范,使得它带有冗余结构。数学家的工作基础不是质...
評分这是我的研究领域。此书比较忠实地反映了当前数学基础、物理学基础(包括量子力学基础)、数理逻辑(特别是范畴逻辑)、科学哲学等方向上的新趋势。 “纯”范畴论 Colin McLarty 的文章主题是:在现有的层叠集合观上存在一个规范,使得它带有冗余结构。数学家的工作基础不是质...
評分这是我的研究领域。此书比较忠实地反映了当前数学基础、物理学基础(包括量子力学基础)、数理逻辑(特别是范畴逻辑)、科学哲学等方向上的新趋势。 “纯”范畴论 Colin McLarty 的文章主题是:在现有的层叠集合观上存在一个规范,使得它带有冗余结构。数学家的工作基础不是质...
評分这是我的研究领域。此书比较忠实地反映了当前数学基础、物理学基础(包括量子力学基础)、数理逻辑(特别是范畴逻辑)、科学哲学等方向上的新趋势。 “纯”范畴论 Colin McLarty 的文章主题是:在现有的层叠集合观上存在一个规范,使得它带有冗余结构。数学家的工作基础不是质...
Categories for the Working Philosopher pdf epub mobi txt 電子書 下載 2024