https://arxiv.org/abs/2405.10387 Skip to main content Cornell University We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate arxiv logo > math > arXiv:2405.10387 [ ] Help | Advanced Search [All fields ] Search arXiv logo Cornell University Logo [ ] GO quick links * Login * Help Pages * About Mathematics > Algebraic Geometry arXiv:2405.10387 (math) [Submitted on 16 May 2024] Title:Grothendieck's use of equality Authors:Kevin Buzzard View a PDF of the paper titled Grothendieck's use of equality, by Kevin Buzzard View PDF HTML (experimental) 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. Write-up of my talk given at the conference "Grothendieck, Comments: a Multifarious Giant: Mathematics, Logic and Philosophy" at Chapman University Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT) MSC 03A05 (Primary), 14A99, 11R37, 11R39 (Secondary) classes: Cite as: arXiv:2405.10387 [math.AG] (or arXiv:2405.10387v1 [math.AG] for this version) Submission history From: Kevin Buzzard [view email] [v1] Thu, 16 May 2024 18:32:19 UTC (36 KB) Full-text links: Access Paper: View a PDF of the paper titled Grothendieck's use of equality, by Kevin Buzzard * View PDF * HTML (experimental) * TeX Source * Other Formats license icon view license Current browse context: math.AG < prev | next > new | recent | 2405 Change to browse by: math math.NT References & Citations * NASA ADS * Google Scholar * Semantic Scholar a export BibTeX citation Loading... BibTeX formatted citation x [loading... ] Data provided by: Bookmark BibSonomy logo Reddit logo (*) Bibliographic Tools Bibliographic and Citation Tools [ ] Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) [ ] Litmaps Toggle Litmaps (What is Litmaps?) [ ] scite.ai Toggle scite Smart Citations (What are Smart Citations?) ( ) Code, Data, Media Code, Data and Media Associated with this Article [ ] Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) [ ] DagsHub Toggle DagsHub (What is DagsHub?) [ ] GotitPub Toggle Gotit.pub (What is GotitPub?) [ ] Links to Code Toggle Papers with Code (What is Papers with Code?) [ ] ScienceCast Toggle ScienceCast (What is ScienceCast?) ( ) Demos Demos [ ] Replicate Toggle Replicate (What is Replicate?) [ ] Spaces Toggle Hugging Face Spaces (What is Spaces?) [ ] Spaces Toggle TXYZ.AI (What is TXYZ.AI?) ( ) Related Papers Recommenders and Search Tools [ ] Link to Influence Flower Influence Flower (What are Influence Flowers?) [ ] Connected Papers Toggle Connected Papers (What is Connected Papers?) [ ] Core recommender toggle CORE Recommender (What is CORE?) * Author * Venue * Institution * Topic ( ) About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) * About * Help * Click here to contact arXiv Contact * Click here to subscribe Subscribe * Copyright * Privacy Policy * Web Accessibility Assistance * arXiv Operational Status Get status notifications via email or slack