An addendum on the highly intriguing diagram with the arrows connecting three mathematical concepts: Formal Systems, Mathematical Structures and Computations. I think you're definitely on to something big with that intriguing diagram but you need to get it exactly right. I don't believe that this is a complete classification of mathematical concepts. What is missing are the concepts from probability theory: things like Probability Distributions. Also (as I pointed out in my last post), the term 'Mathematical Structures' should really be spit in two: you could distinguish between specific Algebraic structures and the most general structures from Category Theory. My own diagram has SIX of those circles.
You've made some intriguing preliminary attempts to show the relationships between the various mathematical concepts but I don't think you've got them right yet. For instance (as I mentioned) I think computations are special cases of formal systems. (*not*, as you have in your diagram, special cases of mathematical structures). I would be particualrly interested to hear what Bruno has to say about that diagram and the nature of the relationship between the various mathematical concepts. --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---