{ "id": "2405.10387", "version": "v1", "published": "2024-05-16T18:32:19.000Z", "updated": "2024-05-16T18:32:19.000Z", "title": "Grothendieck's use of equality", "authors": [ "Kevin Buzzard" ], "comment": "Write-up of my talk given at the conference \"Grothendieck, a Multifarious Giant: Mathematics, Logic and Philosophy\" at Chapman University", "categories": [ "math.AG", "math.NT" ], "abstract": "We discuss how the concept of equality is used by mathematicians (including Grothendieck), and what effect this has when trying to formalise mathematics. We challenge various reasonable-sounding slogans about equality.", "revisions": [ { "version": "v1", "updated": "2024-05-16T18:32:19.000Z" } ], "analyses": { "subjects": [ "03A05", "14A99", "11R37", "11R39" ], "keywords": [ "grothendieck", "formalise mathematics", "mathematicians" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }