Bruno Marchal in an older post wrote: >> Also, >> can you elaborate a bit more on the motivation behind category theory? >> Why >> was it invented, and what problems does it solve? What's the relationship >> between category theory and the idea that all possible universes exists? > > > Tim makes a very genuine remark (but he writes so much I fear that has > been unnoticed!). He said: read Tegmark (Everything paper), then learn > category, then read again Tegmark. Indeed I would say category theory has
Bruno, which of the Tegmark's 'Everything papers' did you have in your mind? > emerged from the realisation that mathematical structures are themselves > mathematically structured. Categorist applies the every-structure principle > for each structure. Take all groups, and all morphism between groups: you > get the category of groups. It is one mathematical structure, a category > (with objects = groups and arrows = homomorphism) which, in some sense > capture the essence of group. Cheers, mirek --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
