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Topos Theory in Montréal in the 1970s: My Personal Involvement
History and Philosophy of Logic ( IF 0.5 ) Pub Date : 2019-02-01 , DOI: 10.1080/01445340.2018.1554471
Gonzalo E. Reyes 1
Affiliation  

A la memoria de Emilio del Solar Petit por mostrarme los caminos de la lógica y de la música en los remotos tiempos de nuestra juventud As the title suggests, this paper will do no more than tell a story of a few developments in topos theory in which I was personally involved during the 1970s at Montréal. Mind you: a story and not a history! I would like to give a personal account of the times (as I lived them), of the heroes (as I knew them), of the hopes raised and foundered and of the dominant ideology present on the everyday work (as I felt it). The subjects that I will discuss are: logics and their doctrines, completeness theorems, generic models and classifying toposes and early work on Synthetic Differential Geometry. Acknowledgements. I would like to thank M. Makkai for suggesting the publication of this rather informal paper and J.P. Marquis for pointing out an appropriate review for publication. I would also like to thank two unknown reviewers for their questions and suggestions that greatly helped the understanding of this paper.1

中文翻译:

1970 年代蒙特利尔的 Topos 理论:我的个人参与

A la memoria de Emilio del Solar Petit por mostrarme los caminos de la lógica y de la música en los remotos tiempos de nuestra juventud 正如标题所暗示的,本文只是讲述了拓扑理论的一些发展故事,其中1970 年代,我亲自参与了蒙特利尔的工作。请注意:故事而不是历史!我想对时代(正如我所生活的那样)、英雄(正如我所了解的那样)、所产生和破灭的希望以及日常工作中存在的主导意识形态(如我所见)进行个人描述. 我将讨论的主题是:逻辑及其学说、完备性定理、泛型模型和分类拓扑以及合成微分几何的早期工作。致谢。我要感谢 M. Makkai 建议出版这篇相当非正式的论文和 JP 侯爵指出适当的出版评论。还要感谢两位不知名的审稿人提出的问题和建议,对本文的理解有很大帮助。 1
更新日期:2019-02-01
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