Simon King <k...@mathematik.uni-jena.de> writes: > Since the topic now changed into "is Sage implementing Mathematics": > IMHO it is frankly impossible for *any* CAS to implement a > mathematically meaningful notion of == that is both useful and > rigorous.
This is certainly not true. The point is that you have to make equality mean different things for different domains. For many many many domains you can have a "mathematical equality". Eg., * Integers, * Algebraic numbers, * Strings * Polynomials with coefficients in a domain with mathematical equality * Matrices with entries in a domain with mathematical equality * QuotientFields, where the IntegralDomain has mathematical equality * Holonomic Functions with coefficients in a domain with mathematical equality * Algebraic Functions with coefficients in a domain with mathematical equality * Differentially Algebraic Functions with coefficients in a domain with mathematical equality ... Therefore, at least in my opinion, it makes sense to be able to work in a given domain, and define == there. I must admit that I do not understand (yet) how Sage works here, but I thought it would define equality separately for every "parent". Doesn't it, or did I miss something? Martin --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
